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{{short description|Proposed type of space transportation system}} | |||
{{Use mdy dates|date=June 2013}} | |||
{{Use dmy dates|date=August 2024}} | |||
] is kept well above the level of geostationary orbit. Upward ] from the Earth's rotation ensures that the cable remains stretched taut, fully countering the downward gravitational pull. Once above the geostationary level, climbers would have weight in the ''upward'' direction as the centrifugal force overpowers gravity. (The height relative to the diameter of the Earth on the diagram is to scale. The height of the counterweight varies by design and a typical, workable height is shown.)]] | |||
{{Use American English|date=April 2021}} | |||
] well above geostationary orbit level. This produces enough upward ] from Earth's rotation to fully counter the downward gravity, keeping the cable upright and taut. Climbers carry cargo up and down the cable.]] | |||
A '''space elevator''' is a proposed type of space transportation system.<ref>{{cite web|url=http://www.isec.org/index.php/what-is-a-space-elevator |title=What is a Space Elevator? |work=www.isec.org |date=April 11, 2012}}</ref> Its main component is a ribbon-like cable (also called a ]) anchored to the surface and extending into space. It is designed to permit vehicle transport along the cable from a planetary surface, such as the Earth's, directly into space or orbit, ]. An Earth-based space elevator would consist of a cable with one end attached to the surface near the equator and the other end in space beyond ] (35,800 km altitude). The competing forces of gravity, which is stronger at the lower end, and the outward/upward centrifugal force, which is stronger at the upper end, would result in the cable being held up, under tension, and stationary over a single position on Earth. Once deployed, the tether would be ascended repeatedly by mechanical means to orbit, and descended to return to the surface from orbit.<ref name=Edwards>Edwards, Bradley Carl. . NASA Institute for Advanced Concepts</ref> | |||
] | |||
A '''space elevator''', also referred to as a '''space bridge''', '''star ladder''', and '''orbital lift''', is a proposed type of planet-to-space transportation system,<ref>{{cite web|url=https://www.isec.org/faq/#What%20is%20it |title=What is a Space Elevator? |publisher=The International Space Elevator Consortium |year=2014 |access-date=22 August 2020}}</ref> often depicted in science fiction. The main component would be a cable (also called a ]) anchored to the surface and extending into space. An Earth-based space elevator would consist of a cable with one end attached to the surface near the equator and the other end attached to a counterweight in space beyond ] (35,786 km altitude). The competing forces of gravity, which is stronger at the lower end, and the upward centrifugal pseudo-force (it is actually the inertia of the counterweight that creates the tension on the space side), which is stronger at the upper end, would result in the cable being held up, under tension, and stationary over a single position on Earth. With the tether deployed, climbers (crawlers) could repeatedly climb up and down the tether by mechanical means, releasing their cargo to and from orbit.<ref name="Edwards">{{cite report|last=Edwards|first=Bradley Carl|title=The NIAC Space Elevator Program|url=http://www.niac.usra.edu/studies/521Edwards.html|publisher=NASA Institute for Advanced Concepts|archive-url=https://web.archive.org/web/20080512225341/http://www.niac.usra.edu/studies/521Edwards.html|archive-date=12 May 2008|access-date=24 November 2007|url-status=bot: unknown}}</ref> The design would permit vehicles to travel directly between a planetary surface, such as the Earth's, and orbit, ]. | |||
The concept for a space elevator was first published in 1895 by ].<ref>{{cite web|url = http://www.g4tv.com/techtvvault/features/35657/Space_Elevator_Gets_Lift.html|title = Space Elevator Gets Lift|accessdate = September 13, 2007|last = Hirschfeld|first = Bob|date = January 31, 2002|work = TechTV|publisher = G4 Media, Inc.|archiveurl = http://web.archive.org/web/20050608080057/http://www.g4tv.com/techtvvault/features/35657/Space_Elevator_Gets_Lift.html|archivedate = June 8, 2005|quote = The concept was first described in 1895 by Russian author K. E. Tsiolkovsky in his "Speculations about Earth and Sky and on Vesta."}}</ref> His proposal was for a free-standing tower reaching from the surface of Earth to the height of geostationary orbit. Like all buildings, Tsiolkovsky's structure would be under ], supporting its weight from below. Since 1959, most ideas for space elevators have focused on purely ] structures, with the weight of the system held up from above. In the tensile concepts, a ] reaches from a large mass (the counterweight) beyond geostationary orbit to the ground. This structure is held in tension between Earth and the counterweight like an upside-down ]. Space elevators have also sometimes been referred to as ''beanstalks'', ''space bridges'', ''space lifts'', ''space ladders'', ''skyhooks'', ''orbital towers'', or ''orbital elevators''. | |||
On Earth, with its relatively strong gravity, current technology is not capable of manufacturing tether materials that are sufficiently ] to build a space elevator. However, recent concepts for a space elevator are notable for their plans to use ] or ] based materials as the tensile element in the tether design. The measured strength of these molecules is high compared to their densities and they hold promise as materials to make an Earth-based space elevator possible.<ref name=Edwards/> | |||
The concept is also applicable to other planets and ]. For locations in the solar system with weaker gravity than Earth's (such as the ] or ]), the strength-to-density requirements are not as great for tether materials. Currently available materials (such as ]) are strong and light enough that they could be used as the tether material for elevators there.<ref>] (1978). . Carnegie Mellon University. frc.ri.cmu.edu</ref> | |||
==History== | ==History== | ||
===Early concept=== | |||
The idea of the space elevator appears to have developed independently in different times and places. The earliest models originated with two Russian scientists in the late nineteenth century. In his 1895 collection ''Dreams of Earth and Sky'',<ref>{{Cite book |last=Tsiolkovsky |first=Konstanti |title=Dreams of Earth and Sky |publisher=Athena Books |year=2004 |isbn=9781414701639}}</ref> ] envisioned a massive sky ladder to reach the stars as a way to overcome gravity.<ref name=":0">{{Cite web |last=Derek J. Pearson |date=2022 |title=The Steep Climb to Low Earth Orbit: A History of the Space Elevator Community's Battle Against the Rocket Paradigm. |url=https://vtechworks.lib.vt.edu/server/api/core/bitstreams/4e65652b-115e-4410-8aec-e17dbf33a8a9/content}}</ref><ref name="NASASci">{{cite web |title=The Audacious Space Elevator |url=https://science.nasa.gov/headlines/y2000/ast07sep_1.htm |url-status=dead |archive-url=https://web.archive.org/web/20080919070924/https://science.nasa.gov/headlines/y2000/ast07sep_1.htm |archive-date=19 September 2008 |access-date=27 September 2008 |publisher=NASA Science News}}</ref><ref name="JBIS1999">{{cite journal |last1=Landis |first1=Geoffrey A. |last2=Cafarelli |first2=Craig |name-list-style=amp |year=1999 |others=Presented as paper IAF-95-V.4.07, 46th International Astronautics Federation Congress, Oslo, Norway, 2-6 October 1995 |title=The Tsiolkovski Tower Reexamined |journal=Journal of the British Interplanetary Society |volume=52 |pages=175–180 |bibcode=1999JBIS...52..175L}}</ref> Decades later, in 1960, ] independently developed the concept of a "Cosmic Railway", a space elevator tethered from an orbiting satellite to an anchor on the equator, aiming to provide a safer and more efficient alternative to rockets.<ref>Artsutanov, Y. V Kosmos na Elektrovoze (Into Space by Funicular Railway). Komsomolskaya Pravda (Young Communist Pravda), 31 July 1960. Contents described in Lvov, ''Science'' 158:946, 17 November 1967</ref><ref>{{Cite journal |last=Lvov |first=Vladimir |date=1967-11-17 |title=Sky-Hook: Old Idea |url=https://www.science.org/doi/10.1126/science.158.3803.946 |journal=Science |language=en |volume=158 |issue=3803 |pages=946–947 |doi=10.1126/science.158.3803.946 |pmid=17753605 |bibcode=1967Sci...158..946L |issn=0036-8075}}</ref><ref>{{cite web |last=Artsutanov |first=Yu |year=1960 |title=To the Cosmos by Electric Train |url=http://liftport.com/files/Artsutanov_Pravda_SE.pdf |archive-url=https://web.archive.org/web/20060506100948/http://liftport.com/files/Artsutanov_Pravda_SE.pdf |archive-date=6 May 2006 |access-date=5 March 2006 |work=liftport.com |publisher=Young Person's Pravda}}</ref> In 1966, ] and his colleagues introduced the concept of the 'Sky-Hook', proposing a satellite in geostationary orbit with a cable extending to Earth.<ref name=":1">{{cite journal |author=Isaacs |first1=J. D. |last2=Vine |first2=A. C. |last3=Bradner |first3=H. |last4=Bachus |first4=G. E. |year=1966 |title=Satellite Elongation into a True 'Sky-Hook' |journal=Science |volume=151 |issue=3711 |pages=682–683 |bibcode=1966Sci...151..682I |doi=10.1126/science.151.3711.682 |pmid=17813792 |s2cid=32226322}}</ref> | |||
=== Innovations and designs === | |||
]]] | |||
The space elevator concept reached America in 1975 when ] began researching the idea, inspired by ]'s 1969 speech before Congress. After working as an engineer for NASA and the Air Force Research Laboratory, he developed a design for an "Orbital Tower", intended to harness Earth's rotational energy to transport supplies into low Earth orbit. In his publication in '']<ref name=":2">{{cite journal |author=Pearson, J. |year=1975 |title=The orbital tower: a spacecraft launcher using the Earth's rotational energy |url=http://www.star-tech-inc.com/papers/tower/tower.pdf |journal=Acta Astronautica |volume=2 |issue=9–10 |pages=785–799 |bibcode=1975AcAau...2..785P |citeseerx=10.1.1.530.3120 |doi=10.1016/0094-5765(75)90021-1}}</ref>'', the cable would be thickest at geostationary orbit where tension is greatest, and narrowest at the tips to minimize weight per unit area. He proposed extending a counterweight to 144,000 kilometers (89,000 miles) as without a large counterweight, the upper cable would need to be longer due to the way ] and centrifugal forces change with distance from Earth. His analysis included the Moon's gravity, wind, and moving payloads. Building the elevator would have required thousands of ] trips, though material could be transported once a minimum strength strand reached the ground or be manufactured in space from ] or ]. Pearson's findings, published in ''Acta Astronautica'', caught Clarke's attention and led to technical consultations for Clarke's science fiction novel '']'' (1979),<ref>{{Cite book |last=Clarke |first=Arthur C. |title=The fountains of Paradise. Harcourt Brace Jovanovich |year=1979 |publisher=Harcourt Brace Jovanovich |isbn=9780151327737}}</ref> which features a space elevator.<ref>{{Cite web |last=Boucher |first=Marc |date=2013-04-08 |title=The Space Elevator: 'Thought Experiment', or Key to the Universe? |url=https://spaceref.com/newspace-and-tech/the-space-elevator-thought-experiment-or-key-to-the-universe-by-sir-arthur-c-clarke/ |access-date=2024-05-30 |website=SpaceRef |language=en-US}}</ref><ref>{{Cite journal |last=Edwards |first=Bradley C. |date=2004 |title=A Space Elevator Based Exploration Strategy |url=http://dx.doi.org/10.1063/1.1649650 |journal=AIP Conference Proceedings |volume=699 |pages=854–862 |publisher=AIP |doi=10.1063/1.1649650|bibcode=2004AIPC..699..854E }}</ref> | |||
The first gathering of multiple experts who wanted to investigate this alternative to space flight took place at the 1999 NASA conference 'Advanced Space Infrastructure Workshop on Geostationary Orbiting Tether Space Elevator Concepts'. in Huntsville, Alabama.<ref name=":0"/> D.V. Smitherman, Jr., published the findings in August of 2000 under the title ''Space Elevators: An Advanced Earth-Space Infrastructure for the New Millennium'', concluding that the space elevator could not be built for at least another 50 years due to concerns about the cable's material, deployment, and upkeep.<ref name="Smitherman">{{cite report |editor-last=Smitherman, Jr. |editor-first=D.V. |date=August 2000 |title=Space Elevators: An Advanced Earth-Space Infrastructure for the New Millennium |url=https://nss.org/wp-content/uploads/2000-Space-Elevator-NASA-CP210429.pdf |publisher=] |url-status=live |archive-url=https://web.archive.org/web/20150328040627/http://www.nss.org/resources/library/spaceelevator/2000-SpaceElevator-NASA-CP210429.pdf |archive-date=2015-03-28}}</ref>{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}} | |||
===Early concepts=== | |||
] suggested that a {{convert|100,000|km|mi|abbr=on}} long paper-thin ribbon, utilizing a carbon nanotube composite material could solve the tether issue due to their high tensile strength and low weight <ref name="EDWARDS_PHASE_I_2000_472Edwards.html">], "".</ref> The proposed wide-thin ribbon-like cross-section shape instead of earlier circular cross-section concepts would increase survivability against meteoroid impacts. With support from ] (NIAC), his work was involved more than 20 institutions and 50 participants.<ref name=":3">{{cite report |last=Edwards |first=Bradley C. |author-link=Bradley C. Edwards |date=2003-03-01 |title=The Space Elevator: NIAC Phase II Final Report |url=http://images.spaceref.com/docs/spaceelevator/521Edwards.pdf |publisher=Eureka Scientific}}</ref>{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}} The Space Elevator NIAC Phase II Final Report, in combination with the book ''The Space Elevator'': ''A Revolutionary Earth-to-Space Transportation System'' (Edwards and Westling, 2003)<ref>{{Cite book |last=Bradley C. Edwards; Eric A. Westling |title=The Space Elevator: A Revolutionary Earth-to-Space Transportation System |publisher=BC Edwards |year=2003 |isbn=9780974651712}}</ref> summarized all effort to design a space elevator<ref name=":3" />{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}} including deployment scenario, climber design, power delivery system, ] avoidance, anchor system, surviving ], avoiding lightning and hurricanes by locating the anchor in the western equatorial Pacific, construction costs, construction schedule, and environmental hazards.<ref name="Edwards" /><ref name="Smitherman"/>{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}}<ref>Science @ NASA, {{webarchive|url=https://web.archive.org/web/20080919070924/https://science.nasa.gov/headlines/y2000/ast07sep_1.htm|date=19 September 2008}}, September 2000.</ref> Additionally, he researched the structural integrity and load-bearing capabilities of space elevator cables, emphasizing their need for high tensile strength and resilience. His space elevator concept never reached NIAC's third phase, which he attributed to submitting his final proposal during the week of the ] disaster.<ref name=":0" /> | |||
The key concept of the space elevator appeared in 1895 when ]n scientist ] was inspired by the ] in ]. He considered a similar tower that reached all the way into space and was built from the ground up to the altitude of 35,790 kilometers, the height of ].<ref name=NASASci>{{cite web |url=http://science.nasa.gov/headlines/y2000/ast07sep_1.htm |title=The Audacious Space Elevator | |||
|publisher=NASA Science News |accessdate=September 27, 2008}}</ref> He noted that the top of such a tower would be orbiting ] in a geostationary orbit. Objects would attain orbital velocity as they rode up the tower, and an object released at the tower's top would also have the velocity necessary to remain in geostationary orbit. Tsiolkovsky's conceptual tower was a compression structure, while modern concepts call for a ] (or "tether"). | |||
=== |
=== 21st century advancements === | ||
To speed space elevator development, proponents have organized several ], similar to the ], for relevant technologies.<ref>{{cite web |url=http://www.nbcnews.com/id/5792719 |archive-url=https://web.archive.org/web/20131214181227/http://www.nbcnews.com/id/5792719/ |url-status=dead |archive-date=14 December 2013 |title=Space elevator contest proposed |first=Alan |last=Boyle |publisher=NBC News |date=27 August 2004}}</ref><ref>{{cite web |title=The Space Elevator – Elevator:2010 |url=http://www.elevator2010.org/ |url-status=dead |archive-url=https://web.archive.org/web/20070106211508/http://www.elevator2010.org/ |archive-date=6 January 2007 |access-date=5 March 2006}}</ref> Among them are ], which organized annual competitions for climbers, ribbons and power-beaming systems from 2005 to 2009, the Robogames Space Elevator Ribbon Climbing competition,<ref>{{cite web |url=http://robogames.net/rules/climbing.php |title=Space Elevator Ribbon Climbing Robot Competition Rules |access-date=5 March 2006 |archive-url = https://web.archive.org/web/20050206100051/http://robolympics.net/rules/climbing.shtml|archive-date=6 February 2005}}</ref> as well as NASA's ] program, which, in March 2005, announced a partnership with the Spaceward Foundation (the operator of Elevator:2010), raising the total value of prizes to US$400,000.<ref>{{cite web |url=http://www.nasa.gov/home/hqnews/2005/mar/HQ_m05083_Centennial_prizes.html |title=NASA Announces First Centennial Challenges' Prizes |year=2005 |access-date=5 March 2006 |archive-date=8 June 2005 |archive-url=https://web.archive.org/web/20050608083813/http://www.nasa.gov/home/hqnews/2005/mar/HQ_m05083_Centennial_prizes.html |url-status=dead }}</ref><ref>{{cite web |url=http://www.space.com/news/050323_centennial_challenge.html |title=NASA Details Cash Prizes for Space Privatization |first=Robert Roy |last=Britt |work=Space.com |date=24 March 2005 |access-date=5 March 2006}}</ref> | |||
Building a compression structure from the ground up proved an unrealistic task as there was no material in existence with enough compressive strength to support its own weight under such conditions.<ref name="JBIS1999"/> In 1959 another Russian scientist, ], suggested a more feasible proposal. Artsutanov suggested using a geostationary ] as the base from which to deploy the structure downward. By using a ], a cable would be lowered from geostationary orbit to the surface of Earth, while the counterweight was extended from the satellite away from Earth, keeping the cable constantly over the same spot on the surface of the Earth. Artsutanov's idea was introduced to the Russian-speaking public in an interview published in the Sunday supplement of '']'' in 1960,<ref name="artsutanov">{{cite web | |||
The first European Space Elevator Challenge (EuSEC) to establish a climber structure took place in August 2011.<ref>{{cite web |title=What's the European Space Elevator Challenge? |url=http://eusec.warr.de/?eusec |publisher=European Space Elevator Challenge |access-date=21 April 2011 |archive-date=15 August 2011 |archive-url=https://web.archive.org/web/20110815214545/http://eusec.warr.de/?eusec |url-status=dead }}</ref> | |||
|url=http://www.liftport.com/files/Artsutanov_Pravda_SE.pdf | |||
|title=To the Cosmos by Electric Train | |||
|year=1960 | |||
|publisher=Young Person's Pravda | |||
|last=Artsutanov | |||
|first=Yu | |||
|format=PDF | |||
|accessdate=March 5, 2006}}{{dead link|date=January 2014}}</ref> but was not available in English until much later. He also proposed tapering the cable thickness so that the stress in the cable was constant. This gives a thinner cable at ground level that becomes thicker up towards GSO. | |||
In 2005, "the ] of space elevator companies announced that it will be building a carbon nanotube manufacturing plant in ], to supply various glass, plastic and metal companies with these strong materials. Although LiftPort hopes to eventually use carbon nanotubes in the construction of a {{convert|100,000|km|mi|abbr=on}} space elevator, this move will allow it to make money in the short term and conduct research and development into new production methods."<ref name="universetoday">{{cite news |url=http://www.universetoday.com/am/publish/liftport_manufacture_nanotubes.html?2742005 |title=Space Elevator Group to Manufacture Nanotubes |date=27 April 2005 |first=Fraser |last=Cain |work=Universe Today |access-date=5 March 2006}}</ref> Their announced goal was a space elevator launch in 2010. On 13 February 2006, the LiftPort Group announced that, earlier the same month, they had tested a mile of "space-elevator tether" made of carbon-fiber composite strings and fiberglass tape measuring {{cvt|5|cm|in}} wide and {{cvt|1|mm|in}} (approx. 13 sheets of paper) thick, lifted with balloons.<ref>{{cite news |url=http://www.newscientistspace.com/article/dn8725.html |title=Space-elevator tether climbs a mile high |date=15 February 2006 |work=New Scientist |first=Kimm |last=Groshong |access-date=5 March 2006}}</ref> In April 2019, Liftport CEO Michael Laine admitted little progress has been made on the company's lofty space elevator ambitions, even after receiving more than $200,000 in seed funding. The carbon nanotube manufacturing facility that Liftport announced in 2005 was never built.<ref>{{cite web |date=28 March 2019 |title=If a space elevator was ever going to happen, it could have gotten its start in N. J. Here's how it went wrong |url=https://www.nj.com/cumberland/2019/04/if-a-space-elevator-was-ever-going-to-happen-it-could-have-gotten-its-start-in-nj-heres-how-it-went-wrong.html |access-date=11 May 2019 |publisher=NJ.com}}</ref> | |||
Both the tower and cable ideas were proposed in the quasi-humorous ] in '']'', December 24, 1964. | |||
In 2007, ] held the 2007 Space Elevator games, which featured US$500,000 awards for each of the two competitions ($1,000,000 total), as well as an additional $4,000,000 to be awarded over the next five years for space elevator related technologies.<ref>. spaceward.org.</ref> No teams won the competition, but a team from ] entered the first 2-gram (0.07 oz), 100-percent carbon nanotube entry into the competition.<ref>. The Spaceward Foundation.</ref> Japan held an international conference in November 2008 to draw up a timetable for building the elevator.<ref name="JapanUKTimes">{{cite news |last=Lewis |first=Leo |date=22 September 2008 |title=Japan hopes to turn sci-fi into reality with elevator to the stars |url=http://www.thetimes.co.uk/tto/news/world/article1967078.ece |access-date=23 May 2010 |work=The Times |location=London, England}} Lewis, Leo; News International Group; accessed 22 September 2008.</ref> | |||
In 1966, Isaacs, Vine, Bradner and Bachus, four ] engineers, reinvented the concept, naming it a "Sky-Hook," and published their analysis in the journal ].<ref>{{cite journal | |||
|title=Satellite Elongation into a True 'Sky-Hook' | |||
|year=1966 | |||
|journal= Science | |||
|volume = 11 | |||
| doi = 10.1126/science.151.3711.682 | |||
|author=Isaacs, J. D. |coauthors= A. C. Vine, H. Bradner and G. E. Bachus|bibcode = 1966Sci...151..682I | |||
|issue=3711 | |||
|page=682 }}</ref> They decided to determine what type of material would be required to build a space elevator, assuming it would be a straight cable with no variations in its cross section, and found that the ] required would be twice that of any then-existing material including ], ], and ]. | |||
In 2012, the ] announced that it could build a space elevator by 2050 using carbon nanotube technology.<ref name="physorg_obayashi">{{cite news| url=http://www.physorg.com/news/2012-02-japan-builder-eyes-space-elevator.html | website=Phys.org | title=Going up: Japan builder eyes space elevator | date=22 February 2012}}</ref> The design's passenger climber would be able to reach the level of geosynchronous equatorial orbit (GEO) after an 8-day trip.<ref>{{cite news| url=https://www.smithsonianmag.com/smart-news/researchers-take-tiny-first-step-toward-space-elevator-180970212/ | title=Japan Takes Tiny First Step Toward Space Elevator | date=5 September 2018 |work=Smithsonian Magazine |first=Jason |last=Daley}}</ref> Further details were published in 2016.<ref>{{cite journal |last1=Ishikawa |first1=Y. |date=2016 |title=Obayashi Corporation's Space Elevator Construction Concept |url=https://ui.adsabs.harvard.edu/abs/2016JBIS...69..227I/abstract |journal=Journal of the British Interplanetary Society |volume=69 |issue= |pages=227–239 |doi= |bibcode=2016JBIS...69..227I |access-date=5 January 2021}}</ref> | |||
In 1975 an American scientist, ], reinvented the concept yet again, publishing his analysis in the journal ]. He designed<ref name="pearson"> | |||
{{cite journal | |||
| author = Pearson, J. | |||
| year = 1975 | |||
| title = The orbital tower: a spacecraft launcher using the Earth's rotational energy | |||
| url = http://www.star-tech-inc.com/papers/tower/tower.pdf | |||
| journal = Acta Astronautica | |||
| volume = 2 | |||
| pages = 785–799 | |||
| doi = 10.1016/0094-5765(75)90021-1 | |||
| format = PDF <!--Retrieved from CrossRef by DOI bot--> | |||
| issue = 9–10 | |||
}} | |||
</ref> a tapered cross section that would be better suited to building the elevator. The completed cable would be thickest at the geostationary orbit, where the tension was greatest, and would be narrowest at the tips to reduce the amount of weight per unit area of cross section that any point on the cable would have to bear. He suggested using a counterweight that would be slowly extended out to 144,000 kilometers (90,000 miles, almost half the distance to the ]) as the lower section of the elevator was built. Without a large counterweight, the upper portion of the cable would have to be longer than the lower due to the way ] and centrifugal forces change with distance from Earth. His analysis included disturbances such as the gravitation of the Moon, wind and moving payloads up and down the cable. The weight of the material needed to build the elevator would have required thousands of ] trips, although part of the material could be transported up the elevator when a minimum strength strand reached the ground or be manufactured in space from ] or ]. | |||
In 2013, the ] published a technological feasibility assessment which concluded that the critical capability improvement needed was the tether material, which was projected to achieve the necessary ] within 20 years. The four-year long study looked into many facets of space elevator development including missions, development schedules, financial investments, revenue flow, and benefits. It was reported that it would be possible to operationally survive smaller impacts and avoid larger impacts, with meteors and space debris, and that the estimated cost of lifting a kilogram of payload to GEO and beyond would be $500.<ref name="ISEC_SE_way_forward_2013"/>{{rp|10–11, 207–208}}<ref>{{cite report |editor-last1=Swan |editor-first1=Peter |editor-last2=Penny |editor-first2=Rober "Skip" |editor-last3=Swan |editor-first3=Cathy |date=2010 |title=Space Elevator Survivability, Space Debris Mitigation |url=https://static1.squarespace.com/static/5e35af40fb280744e1b16f7b/t/5e5c1d06483fcf20335da699/1583095099789/2010StudyReport_SpaceElevatorSpaceDebris.pdf |publisher=International Space Elevator Consortium}}{{Self-published source|reason=Published via Lulu.com.|date=August 2024}}</ref>{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}} | |||
In 1979, space elevators were introduced to a broader audience with the simultaneous publication of ]'s novel, '']'', in which engineers construct a space elevator on top of a mountain peak in the fictional island country of ''Taprobane'' (loosely based on ], albeit moved south to the Equator), and ]'s first novel, '']'', also featuring the building of a space elevator. Three years later, in ]'s 1982 novel '']'' the principal character makes use of the "Nairobi Beanstalk" in the course of her travels. In ]'s 1993 novel '']'', colonists build a space elevator on Mars that allows both for more colonists to arrive and also for natural resources mined there to be able to leave for Earth. In ]'s 2000 novel, '']'', a family excursion up the Ecuador "beanstalk" is actually a child-custody kidnapping. Gerrold's book also examines some of the industrial applications of a mature elevator technology. In a biological version, ]'s novel ''The Highest Frontier'' depicts a college student ascending a space elevator constructed of self-healing cables of anthrax bacilli. The engineered bacteria can regrow the cables when severed by space debris. | |||
In 2014, Google X's Rapid Evaluation R&D team began the design of a Space Elevator, eventually finding that no one had yet manufactured a perfectly formed ] strand longer than a meter. They thus put the project in "deep freeze" and also keep tabs on any advances in the carbon nanotube field.<ref>{{cite web|last=Gayomali|first=Chris|title=Google X Confirms The Rumors: It Really Did Try To Design A Space Elevator|url=http://www.fastcompany.com/3029138/world-changing-ideas/google-x-confirms-the-rumors-it-really-did-try-to-design-a-space-elevat?partner=rss|work=Fast Company |date=15 April 2014 |access-date=17 April 2014}}</ref> | |||
===21st century=== | |||
After the development of ] in the 1990s, engineer ] of ]/Marshall's Advanced Projects Office realized that the high strength of these materials might make the concept of an orbital skyhook feasible, and put together a workshop at the ], inviting many scientists and engineers to discuss concepts and compile plans for an elevator to turn the concept into a reality.<ref>Science @ NASA, , September 2000</ref> The publication he edited, compiling information from the workshop, "Space Elevators: An Advanced Earth-Space Infrastructure for the New Millennium",<ref>{{cite web | title = Space Elevators: An Advanced Earth-Space Infrastructure for the New Millennium | url = http://www.affordablespaceflight.com/spaceelevator.html| archiveurl = http://web.archive.org/web/20070221162221/http://www.affordablespaceflight.com/spaceelevator.html| archivedate = 2007-02-21|work=affordablespaceflight.com}}</ref> provides an introduction to the state of the technology at the time (1999), and summarizes the findings. | |||
In 2018, researchers at Japan's ] launched STARS-Me, two ]s connected by a tether, which a mini-elevator will travel on.<ref>{{Cite web | url=https://www.nbcnews.com/mach/science/colossal-elevator-space-could-be-going-sooner-you-ever-imagined-ncna915421 | title=A colossal elevator to space could be going up sooner than you ever imagined |work=NBC News |date=2 October 2018 |first=Scott |last=Snowden}}</ref><ref>{{cite web |url=https://www.curbed.com/2018/9/12/17851500/space-elevator-japan-news |title=Japan is trying to build an elevator to space |publisher=Curbed.com |first=Meghan |last=Barber |date=12 September 2018 |access-date=18 September 2018}}</ref> The experiment was launched as a test bed for a larger structure.<ref>{{Cite web | url=https://gizmodo.com/japan-testing-miniature-space-elevator-near-the-interna-1828800558 |title = Japan Testing Miniature Space Elevator Near the International Space Station| date=4 September 2018 }}</ref> | |||
Another American scientist, ], suggested creating a {{convert|100,000|km|mi|abbr=on}} long paper-thin ribbon using a carbon nanotube composite material. He chose the wide-thin ribbon-like cross-section shape rather than earlier circular cross-section concepts because that shape would stand a greater chance of surviving impacts by meteoroids. The ribbon cross-section shape also provided large surface area for climbers to climb with simple rollers. Supported by the ], Edwards' work was expanded to cover the deployment scenario, climber design, power delivery system, ] avoidance, anchor system, surviving ], avoiding lightning and hurricanes by locating the anchor in the western equatorial Pacific, construction costs, construction schedule, and environmental hazards.<ref name=Edwards/> | |||
In 2019, the ] published "Road to the Space Elevator Era",<ref>{{cite book |vauthors=Swan PA, Raitt DI, Knapman JM, Tsuchida A, Fitzgerald MA, Ishikawa Y |title=Road to the Space Elevator Era |date=30 May 2019 |publisher=International Academy of Astronautics |isbn=978-0-9913370-3-3 |url=https://www.heinleinbooks.com/product-page/road-to-the-space-elevator-era}}</ref> a study report summarizing the assessment of the space elevator as of summer 2018. The essence is that a broad group of space professionals gathered and assessed the status of the space elevator development, each contributing their expertise and coming to similar conclusions: (a) Earth Space Elevators seem feasible, reinforcing the IAA 2013 study conclusion (b) Space Elevator development initiation is nearer than most think. This last conclusion is based on a potential process for manufacturing macro-scale single crystal ]<ref name="azom.com">{{Cite web |date=23 July 2018 |title=Space Elevator Technology and Graphene: An Interview with Adrian Nixon |url=https://www.azom.com/article.aspx?ArticleID=16371}}</ref> with higher ] than ]s. | |||
To speed space elevator development, proponents have organized several ], similar to the ], for relevant technologies.<ref>{{cite web | |||
|url=http://msnbc.msn.com/id/5792719/ | |||
|title=Space elevator contest proposed | |||
|first=Alan | |||
|last=Boyle | |||
|publisher=MSNBC | |||
|date=August 27, 2004}}</ref><ref>{{cite web | |||
|url=http://www.elevator2010.org/ | |||
|title=The Space Elevator – Elevator:2010 | |||
|accessdate=March 5, 2006}}</ref> Among them are ], which organized annual competitions for climbers, ribbons and power-beaming systems from 2005 to 2009, the Robogames Space Elevator Ribbon Climbing competition,<ref>{{cite web | |||
|url=http://robogames.net/rules/climbing.php | |||
|title=Space Elevator Ribbon Climbing Robot Competition Rules | |||
|accessdate=March 5, 2006 |archiveurl = http://web.archive.org/web/20051201005853/http://robolympics.net/rules/climbing.shtml |archivedate = December 1, 2005}}</ref> as well as NASA's ] program, which, in March 2005, announced a partnership with the ] (the operator of Elevator:2010), raising the total value of prizes to US$400,000.<ref>{{cite web | |||
|url=http://www.nasa.gov/home/hqnews/2005/mar/HQ_m05083_Centennial_prizes.html | |||
|title=NASA Announces First Centennial Challenges' Prizes | |||
|year=2005 | |||
|accessdate=March 5, 2006}}</ref><ref>{{cite web | |||
|url=http://www.space.com/news/050323_centennial_challenge.html | |||
|title=NASA Details Cash Prizes for Space Privatization | |||
|first=Robert Roy | |||
|last=Britt | |||
|publisher=Space.com | |||
|accessdate=March 5, 2006}}</ref> | |||
The first European Space Elevator Challenge (EuSEC) to establish a climber structure took place in August 2011.<ref>{{cite web | |||
|title=What's the European Space Elevator Challenge? | |||
|url=http://eusec.warr.de/?eusec|publisher=European Space Elevator Challenge | |||
|accessdate=April 21, 2011}}</ref> | |||
==Materials== | |||
In 2005, "the ] of space elevator companies announced that it will be building a carbon nanotube manufacturing plant in ], to supply various glass, plastic and metal companies with these strong materials. Although LiftPort hopes to eventually use carbon nanotubes in the construction of a {{convert|100,000|km|mi|abbr=on}} space elevator, this move will allow it to make money in the short term and conduct research and development into new production methods."<ref>{{cite web | |||
A significant difficulty with making a space elevator for the Earth is strength of materials. Since the structure must hold up its own weight in addition to the payload it may carry, the strength to weight ratio, or ], of the material it is made of must be extremely high. | |||
|url=http://www.universetoday.com/am/publish/liftport_manufacture_nanotubes.html?2742005 | |||
|title=Space Elevator Group to Manufacture Nanotubes | |||
|year=2005 | |||
|publisher=Universe Today | |||
|accessdate=March 5, 2006}}</ref> Their announced goal was a space elevator launch in 2010. On February 13, 2006 the LiftPort Group announced that, earlier the same month, they had tested a mile of "space-elevator tether" made of carbon-fiber composite strings and fiberglass tape measuring 5 cm (2 in) wide and 1 mm (approx. 13 sheets of paper) thick, lifted with balloons.<ref>{{cite news | |||
|url=http://www.newscientistspace.com/article/dn8725.html | |||
|title=Space-elevator tether climbs a mile high | |||
|date=February 15, 2006 | |||
|work=NewScientist.com | |||
|publisher=New Scientist | |||
|first=Kimm | |||
|last=Groshong | |||
|accessdate=March 5, 2006}}</ref> | |||
Since 1959, most ideas for space elevators have focused on purely ] structures, with the weight of the system held up from above by centrifugal forces. In the tensile concepts, a ] reaches from a large mass (the counterweight) beyond geostationary orbit to the ground. This structure is held in tension between Earth and the counterweight like an upside-down ]. The cable thickness is tapered based on tension; it has its maximum at a geostationary orbit and the minimum on the ground. | |||
In 2007, ] held the 2007 Space Elevator games, which featured US$500,000 awards for each of the two competitions, (US$1,000,000 total) as well as an additional US$4,000,000 to be awarded over the next five years for space elevator related technologies.<ref>. spaceward.org</ref> No teams won the competition, but a team from ] entered the first 2-gram (0.07 oz), 100-percent carbon nanotube entry into the competition.<ref>. The Spaceward Foundation</ref> Japan held an international conference in November 2008 to draw up a timetable for building the elevator.<ref name=JapanUKTimes>{{cite news | title = Japan hopes to turn sci-fi into reality with elevator to the stars | url = http://www.timesonline.co.uk/tol/news/uk/science/article4799369.ece | work=The Times | location=London | first=Leo | last=Lewis | date=September 22, 2008 | accessdate=May 23, 2010}} Lewis, Leo; News International Group; accessed September 22, 2008.</ref> | |||
The concept is applicable to other planets and ]. For locations in the Solar System with weaker gravity than Earth's (such as the ] or ]), the strength-to-density requirements for tether materials are not as problematic. Currently available materials (such as ]) are strong and light enough that they could be practical as the tether material for elevators there.<ref>] (1978). . Carnegie Mellon University. frc.ri.cmu.edu.</ref> | |||
In 2008 the book "Leaving the Planet by Space Elevator", by Dr. Brad Edwards and Philip Ragan, was published in Japanese and entered the Japanese best seller list.<ref name=Leaving>{{cite web | title = Leaving the Planet by Space Elevator | url = http://www.leavingtheplanet.com/}} Edwards, Bradley C. and Westling, Eric A. and Ragan, Philip; Leasown Pty Ltd.; accessed September 26, 2008.</ref> This has led to a Japanese announcement of intent to build a Space Elevator at a projected price tag of a trillion yen (£5 billion/ $8 billion). In a report by Leo Lewis, Tokyo correspondent of The Times newspaper in England, plans by Shuichi Ono, chairman of the Japan Space Elevator Association, are unveiled. Lewis says: "Japan is increasingly confident that its sprawling academic and industrial base can solve those issues, and has even put the astonishingly low price tag of a trillion yen (£5 billion/ $8 billion) on building the elevator. Japan is renowned as a global leader in the precision engineering and high-quality material production without which the idea could never be possible."<ref name=JapanUKTimes/> | |||
Available materials are not strong and light enough to make an Earth space elevator practical.<ref>{{cite web |last=Fleming |first=Nic |date=15 February 2015 |title=Should We give up on the dream of space elevators? |url=http://www.bbc.com/future/story/20150211-space-elevators-a-lift-too-far |access-date=4 January 2021 |publisher=BBC |quote='This is extremely complicated. I don't think it's really realistic to have a space elevator,' said Elon Musk during a conference at MIT, adding that it would be easier to 'have a bridge from LA to Tokyo' than an elevator that could take material into space.}}</ref><ref>{{cite web |last=Donahue |first=Michelle Z. |date=21 January 2016 |title=People Are Still Trying to Build a Space Elevator |url=https://www.smithsonianmag.com/innovation/people-are-still-trying-build-space-elevator-180957877/ |access-date=4 January 2020 |publisher=Smithsonian Magazine |quote='We understand it’s a difficult project,' Yoji Ishikawa says. 'Our technology is very low. If we need to be at 100 to get an elevator built – right now we are around a 1 or 2. But we cannot say this project is not possible.'}}</ref><ref>{{cite web |date=30 January 2018 |title=Why the world still awaits its first space elevator |url=https://www.economist.com/the-economist-explains/2018/01/30/why-the-world-still-awaits-its-first-space-elevator |access-date=4 January 2020 |publisher=The Economist |quote=The chief obstacle is that no known material has the necessary combination of lightness and strength needed for the cable, which has to be able to support its own weight. Carbon nanotubes are often touted as a possibility, but they have only about a tenth of the necessary strength-to-weight ratio and cannot be made into filaments more than a few centimetres long, let alone thousands of kilometres. Diamond nanothreads, another exotic form of carbon, might be stronger, but their properties are still poorly understood.}}</ref> Some sources expect that future advances in ]s (CNTs) could lead to a practical design.<ref name="Edwards" /><ref name="Smitherman"/>{{Page needed|date=August 2024|reason=Lengthy document; please provide applicable page.}}<ref name="universetoday" /> Other sources believe that CNTs will never be strong enough.<ref>{{cite web |last=Aron |first=Jacob |date=13 June 2016 |title=Carbon nanotubes too weak to get a space elevator off the ground |url=https://www.newscientist.com/article/2093356-carbon-nanotubes-too-weak-to-get-a-space-elevator-off-the-ground/ |access-date=3 January 2020 |publisher=New Scientist |quote=Feng Ding of the Hong Kong Polytechnic University and his colleagues simulated CNTs with a single atom out of place, turning two of the hexagons into a pentagon and heptagon, and creating a kink in the tube. They found this simple change was enough to cut the ideal strength of a CNT to 40 GPa, with the effect being even more severe when they increased the number of misaligned atoms... That’s bad news for people who want to build a space elevator, a cable between the Earth and an orbiting satellite that would provide easy access to space. Estimates suggest such a cable would need a tensile strength of 50 GPa, so CNTs were a promising solution, but Ding’s research suggests they won’t work.}}</ref><ref>{{cite web |last=Christensen |first=Billn |date=2 June 2006 |title=Nanotubes Might Not Have the Right Stuff |url=https://www.space.com/2456-nanotubes-stuff.html |access-date=3 January 2020 |publisher=Space.com |quote=recent calculations by Nicola Pugno of the Polytechnic of Turin, Italy, suggest that carbon nanotube cables will not work... According to their calculations, the cable would need to be twice as strong as that of any existing material including graphite, quartz, and diamond.}}</ref><ref>{{cite web |last=Whittaker |first=Clay |date=15 June 2016 |title=Carbon Nanotubes Can't Handle a Space Elevator |url=https://www.popsci.com/carbon-nanotubes-cant-handle-space-elevator/ |access-date=3 January 2020 |publisher=Popular Science |quote=Alright, space elevator plans are back to square one, people. Carbon nanotubes probably aren't going to be our material solution for a space elevator, because apparently even a minuscule (read: atomic) flaw in the design drastically decreases strength.}}</ref> Possible future alternatives include ]s, ]<ref name="SCIAM_DN" /><ref name="Xtech_DN" /> and macro-scale single crystal ].<ref name="azom.com" /> | |||
In 2011, ] was reported to be working on plans for a space elevator at its secretive ] location.<ref>{{cite news| url=http://www.nytimes.com/2011/11/14/technology/at-google-x-a-top-secret-lab-dreaming-up-the-future.html | work=The New York Times | title=At Google X, a Top-Secret Lab Dreaming Up the Future | date=November 13, 2011}}</ref> Since then, Google has stated that it is not working on a space elevator.<ref>{{cite web|last=Bryant|first=Martin|title=Google X Lab will reveal another ‘moonshot’ next month – but it’s not working on a space elevator|url=http://thenextweb.com/google/2013/03/12/google-x-lab-will-reveal-another-moonshot-next-month-but-its-not-working-on-a-space-elevator/|work=The Next Web|accessdate=24 June 2013|date=12 March 2013}}</ref> | |||
==In fiction== | |||
In 2012, the ] announced that in 38 years it could build a space elevator using carbon nanotube technology.<ref>{{cite news| url=http://www.physorg.com/news/2012-02-japan-builder-eyes-space-elevator.html | work=PhysOrg.com | title=Going up: Japan builder eyes space elevator | date=February 22, 2012}}</ref> At 200 kilometers per hour, the design's 30-passenger climber would be able to reach the GEO level after a 7.5 day trip.<ref>{{cite news| url=http://www.ibtimes.com/articles/302223/20120221/space-elevator-60000-miles-reality-obayashi-nanotube.htm | title=Space Elevator That Soars 60,000 Miles into Space May Become Reality by 2050 | date=February 21, 2012}}</ref> No cost estimates, finance plans, or other specifics were made. This, along with timing and other factors, hinted that the announcement was made largely to provide publicity for the opening of one of the company's other projects in Tokyo.<ref>{{cite web|last=Boucher |first=Marc |url=http://www.spaceelevator.com/2012/02/obayashi-and-the-space-elevator---a-story-of-hype.html#more |title=Obayashi and the Space Elevator – A Story of Hype – The Space Elevator Reference |work=Spaceelevator.com |date=February 23, 2012 |accessdate=August 14, 2012}}{{dead link|date=January 2014}}</ref> | |||
{{main|Space elevators in fiction}} | |||
{{unsourced|section|date=December 2024}} | |||
In 1979, space elevators were introduced to a broader audience with the simultaneous publication of ]'s novel, '']'', in which engineers construct a space elevator on top of a mountain peak in the fictional island country of "Taprobane" (loosely based on ], albeit moved south to the Equator), and ]'s first novel, '']'', also featuring the building of a space elevator. Three years later, in ]'s 1982 novel '']'', the principal character mentions a disaster at the “Quito Sky Hook” and makes use of the "Nairobi Beanstalk" in the course of her travels. In ]'s 1993 novel '']'', colonists build a space elevator on Mars that allows both for more colonists to arrive and also for natural resources mined there to be able to leave for Earth. ]'s book '']'' describes a space elevator built on Mars. In ]'s 2000 novel, '']'', a family excursion up the Ecuador "beanstalk" is actually a child-custody kidnapping. Gerrold's book also examines some of the industrial applications of a mature elevator technology. The concept of a space elevator, called the ], is also depicted in John Scalzi's 2005 novel ''].'' In a biological version, ]'s 2011 novel ''The Highest Frontier'' depicts a college student ascending a space elevator constructed of self-healing cables of anthrax bacilli. The engineered bacteria can regrow the cables when severed by space debris. | |||
==Physics |
==Physics== | ||
===Apparent gravitational field=== | ===Apparent gravitational field=== | ||
An Earth space elevator cable rotates along with the rotation of the Earth. Therefore, the cable, and objects attached to it, would experience upward centrifugal force in the direction opposing the downward gravitational force. The higher up the cable the object is located, the less the gravitational pull of the Earth, and the stronger the upward centrifugal force due to the rotation, so that more centrifugal force opposes less gravity. The centrifugal force and the gravity are balanced at geosynchronous equatorial orbit (GEO). Above GEO, the centrifugal force is stronger than gravity, causing objects attached to the cable there to pull ''upward'' on it. Because the counterweight, above GEO, is rotating about the Earth faster than the natural orbital speed for that altitude, it exerts a centrifugal pull on the cable and thus holds the whole system aloft. | |||
The net force for objects attached to the cable is called the ''apparent gravitational field''. The apparent gravitational field for attached objects is the (downward) gravity minus the (upward) centrifugal force. The apparent gravity experienced by an object on the cable is zero at GEO, downward below GEO, and upward above GEO. | |||
The apparent gravitational field can be represented this way: | |||
The apparent gravitational field can be represented this way:<ref name="aravind"/>{{rp|Table 1}} | |||
:The downward force of actual ] ''decreases'' with height: ] | |||
{{block indent|The downward force of actual ] ''decreases'' with height: ]}} | |||
{{block indent|The upward ] due to the planet's rotation ''increases'' with height: ]}} | |||
{{block indent|Together, the apparent gravitational field is the sum of the two: | |||
{{block indent|<math>g = -\frac{GM}{r^2} + \omega^2 r</math>}}}} | |||
where | |||
:Together, the apparent gravitational field is the sum of the two: | |||
{{block indent|''g'' is the acceleration of ''apparent'' gravity, pointing down (negative) or up (positive) along the vertical cable (m s<sup>−2</sup>),}} | |||
{{block indent|''g<sub>r</sub>'' is the gravitational acceleration due to Earth's pull, pointing down (negative)(m s<sup>−2</sup>),}} | |||
{{block indent|''a'' is the centrifugal acceleration, pointing up (positive) along the vertical cable (m s<sup>−2</sup>),}} | |||
{{block indent|''G'' is the ] (m<sup>3</sup> s<sup>−2</sup> kg<sup>−1</sup>)}} | |||
{{block indent|''M'' is the mass of the Earth (kg)}} | |||
{{block indent|''r'' is the distance from that point to Earth's center (m),}} | |||
{{block indent|''ω'' is Earth's rotation speed (radian/s).}} | |||
At some point up the cable, the two terms (downward gravity and upward centrifugal force) are equal and opposite. Objects fixed to the cable at that point put no weight on the cable. This altitude (r<sub>1</sub>) depends on the mass of the planet and its rotation rate. Setting actual gravity equal to centrifugal acceleration gives:<ref name="aravind"/>{{rp|p. 126}} | |||
:<math> g = -G \cdot M/r^2 + \omega^2 \cdot r</math> | |||
{{block indent|<math>r_1 = \left(\frac{GM}{\omega^2}\right)^\frac{1}{3}</math>}} | |||
This is {{convert|35786|km|mi|0|abbr=on}} above Earth's surface, the altitude of geostationary orbit.<ref name="aravind"/>{{rp|Table 1}} | |||
where | |||
On the cable ''below'' geostationary orbit, downward gravity would be greater than the upward centrifugal force, so the apparent gravity would pull objects attached to the cable downward. Any object released from the cable below that level would initially accelerate downward along the cable. Then gradually it would deflect eastward from the cable. On the cable ''above'' the level of stationary orbit, upward centrifugal force would be greater than downward gravity, so the apparent gravity would pull objects attached to the cable ''upward''. Any object released from the cable ''above'' the geosynchronous level would initially accelerate ''upward'' along the cable. Then gradually it would deflect westward from the cable. | |||
:''g'' is the acceleration of ''actual'' gravity or ''apparent'' gravity down (negative) or up (positive) along the vertical cable (m s<sup>−2</sup>), | |||
:''a'' is the centrifugal acceleration up (positive) along the vertical cable (m s<sup>−2</sup>), | |||
:''G'' is the ] (m<sup>3</sup> s<sup>−2</sup> kg<sup>−1</sup>) | |||
:''M'' is the mass of the Earth (kg) | |||
:''r'' is the distance from that point to Earth's center (m), | |||
:''ω'' is Earth's rotation speed (radian/s). | |||
===Cable section=== | |||
At some point up the cable, the two terms (downward gravity and upward centrifugal force) equal each other; objects fixed to the cable there have no weight on the cable. This occurs at the level of the stationary orbit. This level (r<sub>1</sub>) depends on the mass of the planet and its rotation rate. Setting actual gravity and centrifugal acceleration equal to each other gives: | |||
Historically, the main technical problem has been considered the ability of the cable to hold up, with tension, the weight of itself below any given point. The greatest tension on a space elevator cable is at the point of geostationary orbit, {{convert|35786|km|mi|0|abbr=on}} above the Earth's equator. This means that the cable material, combined with its design, must be strong enough to hold up its own weight from the surface up to {{convert|35786|km|mi|0|abbr=on}}. A cable which is thicker in cross section area at that height than at the surface could better hold up its own weight over a longer length. How the cross section area tapers from the maximum at {{convert|35786|km|mi|0|abbr=on}} to the minimum at the surface is therefore an important design factor for a space elevator cable. | |||
:<math>r_1 = (G \cdot M/\omega^2)^{1/3}</math> | |||
To maximize the usable excess strength for a given amount of cable material, the cable's cross section area would need to be designed for the most part in such a way that the ] (i.e., the tension per unit of cross sectional area) is constant along the length of the cable.<ref name="aravind" /><ref>Artuković, Ranko (2000). zadar.net</ref> The constant-stress criterion is a starting point in the design of the cable cross section area as it changes with altitude. Other factors considered in more detailed designs include thickening at altitudes where more space junk is present, consideration of the point stresses imposed by climbers, and the use of varied materials.<ref name="PhaseII"/> To account for these and other factors, modern detailed designs seek to achieve the largest '']'' possible, with as little variation over altitude and time as possible.<ref name="PhaseII"/> In simple starting-point designs, that equates to constant-stress. | |||
On Earth, this level is {{convert|35786|km|mi|0|abbr=on}} above the surface, the level of geostationary orbit. | |||
For a constant-stress cable with no safety margin, the cross-section-area as a function of distance from Earth's center is given by the following equation:<ref name="aravind" /> | |||
Seen from a geosynchronous station, any object dropped off the tether from a point closer to Earth will initially accelerate downward. If dropped from any point above a geosynchronous station, the object would initially accelerate up toward space. | |||
{{CSS image crop | |||
===Cable section=== | |||
|Image = Space Elevator Taper Profile.svg | |||
Historically, the main technical problem has been considered the ability of the cable to hold up, with tension, the weight of itself below any particular point. The vertical point with the greatest tension on a space elevator cable is at the level of geostationary orbit, {{convert|35786|km|mi|0|abbr=on}} above the Earth's equator. This means that the cable material combined with its design must be strong enough to hold up the weight of its own mass from the surface up to 35,786 km. By making any cable larger in cross section at this level compared to at the surface, it can better hold up a longer length of itself. For a space elevator cable, an important design factor in addition to the material is how the cross section area tapers down from the maximum at 35,786 km to the minimum at the surface. | |||
|bSize = 375 | |||
|cWidth = 330 | |||
|cHeight = 135 | |||
|oTop = 0 | |||
|oLeft = 28 | |||
|Location = right | |||
|Description = Several taper profiles with different material parameters | |||
}} | |||
{{block indent|<math>A( r ) = A_s \exp\left</math>}} | |||
To maximize the usable excess strength for a given amount of cable material, the cable's cross section area will need to be designed in such a way that at any given point, it is proportional to the force it has to withstand.<ref name="aravind"/><ref> | |||
Artuković, Ranko (2000). zadar.net</ref> | |||
{{Section OR|date=February 2012}} | |||
For such an idealized design without climbers attached, without thickening at high space-junk altitudes, etc., the cross-section will follow this differential equation: | |||
:<math>\sigma \cdot dS = g \cdot \rho \cdot S \cdot dr</math> | |||
or | |||
:<math>dS/S = g \cdot \rho/\sigma \cdot dr</math> | |||
or | |||
:<math>dS/S = \rho/\sigma \cdot ( G \cdot M/r^2 - \omega^2 \cdot r ) \cdot dr</math> | |||
where | |||
:''g'' is the acceleration along the radius (m·s<sup>−2</sup>), | |||
:''S'' is the cross-section area of the cable at any given point r, (m<sup>2</sup>) and dS its variation (m<sup>2</sup> as well), | |||
:''ρ'' is the density of the material used for the cable (kg·m<sup>−3</sup>). | |||
:''σ'' is the stress the cross-section area can bear without ] (N·m<sup>−2</sup>=kg·m<sup>−1</sup>·s<sup>−2</sup>), its elastic limit. | |||
The value of ''g'' is given by the first equation, which yields: | |||
:<math>\Delta\left{}_{r_1}^{r_0} = \rho/\sigma \cdot \Delta\left{}_{r_1}^{r_0}</math>, | |||
where | |||
the variation being taken between ''r<sub>1</sub>'' (geostationary) and ''r<sub>0</sub>'' (ground). | |||
{{block indent|<math>g</math> is the gravitational acceleration at Earth's surface (m·s<sup>−2</sup>),}} | |||
{{block indent|<math>A_s</math> is the cross-section area of the cable at Earth's surface (m<sup>2</sup>),}} | |||
{{block indent|<math>\rho</math> is the density of the material used for the cable (kg·m<sup>−3</sup>),}} | |||
{{block indent|<math>R</math> is the Earth's equatorial radius,}} | |||
{{block indent|<math>R_g</math> is the radius of geosynchronous orbit,}} | |||
{{block indent|1=<math>T</math> is the stress the cross-section area can bear without ] (N·m<sup>−2</sup>), its elastic limit.}} | |||
Safety margin can be accounted for by dividing T by the desired safety factor.<ref name="aravind" /> | |||
It turns out that between these two points, this quantity can be expressed simply as: | |||
<math>\Delta\left = \rho/\sigma \cdot g_0 \cdot r_0 \cdot ( 1 + x/2 - 3/2 \cdot x^{1/3} )</math>, or | |||
:<math>S_0 = S_1.e^{\rho/\sigma \cdot g_0 \cdot r_0 \cdot ( 1 + x/2 - 3/2 \cdot x^{1/3} )}</math> | |||
where <math>x = \omega^2 \cdot r_0/g_0</math> is the ratio between the centrifugal force on the equator and the gravitational force. | |||
===Cable |
===Cable materials=== | ||
Using the above formula, the ratio between the cross-section at geostationary orbit and the cross-section at Earth's surface, known as taper ratio, can be calculated:<ref group="note">Specific substitutions used to produce the factor {{val|4.85|e=7}}:{{block indent|<math>A(R_g)/A_s = \exp \left</math>}}</ref>{{block indent|<math>A(R_g)/A_s = \exp \left</math> }} | |||
{{Section OR|small=yes|date=October 2012}} | |||
] | |||
The '']'' can be used to compare materials: it is the length of an un-tapered cylindrical cable at which it will break under its own weight under constant gravity. For a given material, that length is ''σ/ρ/g<sub>0</sub>''. The free breaking length needed is given by the equation | |||
{| class="wikitable" style="text-align:left" | |||
:<math>\Delta\left = \rho/\sigma \cdot g_0 \cdot r_0 \cdot ( 1 + x/2 - 3/2 \cdot x^{1/3} )</math>, where <math>x = w^2 \cdot r_0/g_0.</math> | |||
|+Taper ratio for some materials<ref name="aravind" /> | |||
If one does not take into account the ''x'' factor (which reduces the strength needed by about 30 percent), this equation also says that the section ratio equals ''e'' (exponential one) when: | |||
|- | |||
:<math>\sigma = \rho \cdot r_0 \cdot g_0.</math> | |||
!Material!!Tensile strength<br />(MPa)!!Density<br />(kg/m<sup>3</sup>)!!]<br />(MPa)/(kg/m<sup>3</sup>)!!Taper ratio | |||
If the material can support a free breaking length of only one tenth this, the section needed at a geosynchronous orbit will be ]<sup>10</sup> (a factor of 22026) times the ground section. | |||
|- | |||
|] || 5,000 || 7,900 || 0.63 ||{{val|1.6|e=33}} | |||
|- | |||
|] || 3,600 || 1,440 || 2.5 ||{{val|2.5|e=8}} | |||
|- | |||
|] @23°C || 3,600 || 0,980 || 3.7 ||{{val|5.4|e=6}} | |||
|- | |||
|Single wall ] || 130,000 || 1,300 || 100 || 1.6 | |||
|} | |||
The taper ratio becomes very large unless the specific strength of the material used approaches 48 (MPa)/(kg/m<sup>3</sup>). Low specific strength materials require very large taper ratios which equates to large (or astronomical) total mass of the cable with associated large or impossible costs. | |||
==Structure== | ==Structure== | ||
] | ] | ||
There are a variety of space elevator designs. Almost every design includes a base station, a cable, climbers, and a counterweight. Earth's rotation creates upward ]<!-- |
There are a variety of space elevator designs proposed for many planetary bodies. Almost every design includes a base station, a cable, climbers, and a counterweight. For an Earth Space Elevator the Earth's rotation creates upward ]<!--"upward" is a continuously changing direction which implies an accelerated reference frame where "c.f." is unquestionable (see http://xkcd.com/123/) --> on the counterweight. The counterweight is held down by the cable while the cable is held up and taut by the counterweight. The base station anchors the whole system to the surface of the Earth. Climbers climb up and down the cable with cargo. | ||
===Base station=== | ===Base station=== | ||
Modern concepts for the base station/anchor are typically mobile stations, large oceangoing vessels or other mobile platforms. |
Modern concepts for the base station/anchor are typically mobile stations, large oceangoing vessels or other mobile platforms. Mobile base stations would have the advantage over the earlier stationary concepts (with land-based anchors) by being able to maneuver to avoid high winds, storms, and ]. Oceanic anchor points are also typically in ], simplifying and reducing the cost of negotiating territory use for the base station.<ref name="Edwards" /> | ||
Stationary land |
Stationary land-based platforms would have simpler and less costly logistical access to the base. They also would have the advantage of being able to be at high altitudes, such as on top of mountains. In an alternate concept, the base station could be a tower, forming a space elevator which comprises both a compression tower close to the surface, and a tether structure at higher altitudes.<ref name="JBIS1999" /> Combining a compression structure with a tension structure would reduce loads from the atmosphere at the Earth end of the tether, and reduce the distance into the Earth's gravity field that the cable needs to extend, and thus reduce the critical strength-to-density requirements for the cable material, all other design factors being equal. | ||
===Cable=== | ===Cable=== | ||
] | ] are one of the candidates for a cable material.<ref name="physorg_obayashi"/>]] | ||
].]] | |||
A space elevator cable must carry its own weight as well as the additional weight of climbers. The required strength of the cable will vary along its length. This is because at various points it has to carry the weight of the cable below, or provide a downward force to retain the cable and counterweight above. Maximum tension on a space elevator cable is at geosynchronous altitude so the cable must be thickest there and taper carefully as it approaches Earth. Any potential cable design may be characterized by the taper factor – the ratio between the cable's radius at geosynchronous altitude and at the Earth's surface.<ref name=NASA97029>{{cite web|url=http://www.nas.nasa.gov/assets/pdf/techreports/1997/nas-97-029.pdf | |||
A space elevator cable would need to carry its own weight as well as the additional weight of climbers. The required strength of the cable would vary along its length. This is because at various points it would have to carry the weight of the cable below, or provide a downward force to retain the cable and counterweight above. Maximum tension on a space elevator cable would be at geosynchronous altitude so the cable would have to be thickest there and taper as it approaches Earth. Any potential cable design may be characterized by the taper factor – the ratio between the cable's radius at geosynchronous altitude and at the Earth's surface.<ref>{{cite web |title=NAS-97-029: NASA Applications of Molecular Nanotechnology |author=Globus, Al |display-authors=etal |publisher=NASA |url=http://www.nas.nasa.gov/assets/pdf/techreports/1997/nas-97-029.pdf |access-date=27 September 2008 |archive-date=8 April 2016 |archive-url=https://web.archive.org/web/20160408064557/http://www.nas.nasa.gov/assets/pdf/techreports/1997/nas-97-029.pdf |url-status=dead }}</ref> | |||
|title=NAS-97-029: NASA Applications of Molecular Nanotechnology | |||
|author=Globus, Al ''et al.'' | |||
|publisher=NASA | |||
|accessdate=September 27, 2008|format=PDF}}</ref> | |||
The cable |
The cable would need to be made of a material with a high ]. For example, the Edwards space elevator design assumes a cable material with a tensile strength of at least 100 ]s.<ref name="Edwards"/> Since Edwards consistently assumed the density of his carbon nanotube cable to be 1300 kg/m<sup>3</sup>,<ref name="EDWARDS_PHASE_I_2000_472Edwards.html"/> that implies a specific strength of 77 megapascal/(kg/m<sup>3</sup>). This value takes into consideration the entire weight of the space elevator. An untapered space elevator cable would need a material capable of sustaining a length of {{convert|4,960|km|mi|sp=us}} of its own weight ''at ]'' to reach a ] altitude of {{convert|35786|km|mi|0|abbr=on}} without yielding.<ref>This 4,960 km "escape length" (calculated by ] in 1979) is much shorter than the actual distance spanned because ] increase (and gravity decreases) dramatically with height: {{cite web |last=Clarke |first=A. C. |year=1979 |title=The space elevator: 'thought experiment', or key to the universe? |url=http://www.islandone.org/LEOBiblio/CLARK2.HTM |url-status=dead |archive-url=https://web.archive.org/web/20140103033306/http://www.islandone.org/LEOBiblio/CLARK2.HTM |archive-date=3 January 2014 |access-date=5 January 2010}}</ref> Therefore, a material with very high strength and lightness is needed. | ||
For comparison, metals like titanium, steel or aluminium alloys have ] of only 20–30 km. Modern ] materials such as ], ] and ] have breaking lengths of 100–400 km |
For comparison, metals like titanium, steel or aluminium alloys have ] of only 20–30 km (0.2–0.3 MPa/(kg/m<sup>3</sup>)). Modern ] materials such as ], ] and ] have breaking lengths of 100–400 km (1.0–4.0 MPa/(kg/m<sup>3</sup>)). Nanoengineered materials such as ] and, more recently discovered, ] ribbons (perfect two-dimensional sheets of carbon) are expected to have breaking lengths of 5000–6000 km (50–60 MPa/(kg/m<sup>3</sup>)), and also are able to conduct electrical power.{{Citation needed|date=April 2014}} | ||
For high specific strength, carbon has advantages because it is only the |
For a space elevator on Earth, with its comparatively high gravity, the cable material would need to be stronger and lighter than currently available materials.<ref name="Huff.3353697" /> For this reason, there has been a focus on the development of new materials that meet the demanding specific strength requirement. For high specific strength, carbon has advantages because it is only the sixth element in the ]. Carbon has comparatively few of the ] which contribute most of the dead weight of any material. Most of the interatomic ] of any element are contributed by only the ] electrons. For carbon, the strength and stability of those bonds is high compared to the mass of the atom. The challenge in using carbon nanotubes remains to extend to macroscopic sizes the production of such material that are still perfect on the microscopic scale (as microscopic ] are most responsible for material weakness).<ref name="Huff.3353697">{{cite news |first=Jillian |last=Scharr |title=Space Elevators On Hold At Least Until Stronger Materials Are Available, Experts Say |newspaper=Huffington Post |date=29 May 2013 |url=https://www.huffingtonpost.com/2013/05/29/space-elevators-stronger-materials_n_3353697.html}}</ref><ref>{{cite journal |last=Feltman |first=R. |title=Why Don't We Have Space Elevators? |journal=Popular Mechanics |date=7 March 2013 |url=http://www.popularmechanics.com/science/space/nasa/why-dont-we-have-space-elevators-15185070}}</ref><ref>{{cite news |last=Templeton |first=Graham |url=http://www.extremetech.com/extreme/176625-60000-miles-up-geostationary-space-elevator-could-be-built-by-2035-says-new-study |title=60,000 miles up: Space elevator could be built by 2035, says new study |work=Extreme Tech |date=6 March 2014 |access-date=14 April 2014}}</ref> As of 2014, carbon nanotube technology allowed growing tubes up to a few tenths of meters.<ref>{{cite journal| first1=X.| last1=Wang| title=Fabrication of Ultralong and Electrically Uniform Single-Walled Carbon Nanotubes on Clean Substrates| volume=9| pages=3137–3141| year=2009| doi=10.1021/nl901260b| journal=Nano Letters| last2=Li| first2=Q.| last3=Xie| first3=J.| last4=Jin| first4=Z.| last5=Wang| first5=J.| last6=Li| first6=Y.| last7=Jiang| first7=K.| last8=Fan| first8=S.| issue=9| pmid=19650638| bibcode=2009NanoL...9.3137W| url=http://www.chem.pku.edu.cn/page/liy/labhomepage/publications/2009/2009NL.pdf| url-status=dead| archive-url=https://web.archive.org/web/20170808164154/http://www.chem.pku.edu.cn/page/liy/labhomepage/publications/2009/2009NL.pdf| archive-date=8 August 2017| citeseerx=10.1.1.454.2744}}</ref> | ||
}}</ref> | |||
In 2014, ] were first synthesized.<ref name="SCIAM_DN">{{cite magazine |url=http://www.scientificamerican.com/article/liquid-benzene-squeezed-to-form-diamond-nanothreads/ |title=Liquid Benzene Squeezed to Form Diamond Nanothreads |first=Julia |last=Calderone |date=26 September 2014 |magazine=] |access-date=22 July 2018}}</ref> Since they have strength properties similar to carbon nanotubes, diamond nanothreads were quickly seen as candidate cable material as well.<ref name="Xtech_DN">{{cite news |url=http://www.extremetech.com/extreme/190691-new-diamond-nanothreads-could-be-the-key-material-for-building-a-space-elevator |title=New diamond nanothreads could be the key material for building a space elevator |first=Sebastian |last=Anthony |date=23 September 2014 |publisher=Zeff Davis, LLC |newspaper=Extremetech |access-date=22 July 2018}}</ref> | |||
].]] | |||
===Climbers=== | ===Climbers=== | ||
] | ] | ||
A space elevator cannot be an elevator in the typical sense (with moving cables) due to the need for the cable to be significantly wider at the center than at the tips. While various designs employing moving cables have been proposed, most cable designs call for the "elevator" to climb up a stationary cable. | A space elevator cannot be an elevator in the typical sense (with moving cables) due to the need for the cable to be significantly wider at the center than at the tips. While various designs employing moving cables have been proposed, most cable designs call for the "elevator" to climb up a stationary cable. | ||
Line 214: | Line 157: | ||
Climbers cover a wide range of designs. On elevator designs whose cables are planar ribbons, most propose to use pairs of rollers to hold the cable with friction. | Climbers cover a wide range of designs. On elevator designs whose cables are planar ribbons, most propose to use pairs of rollers to hold the cable with friction. | ||
Climbers |
Climbers would need to be paced at optimal timings so as to minimize cable stress and oscillations and to maximize throughput. Lighter climbers could be sent up more often, with several going up at the same time. This would increase throughput somewhat, but would lower the mass of each individual payload.<ref name="LangGTOSS">{{cite web |url=http://spaceelevatorwiki.com/images/2/2b/Paper_Lang_Climber_Transit.pdf |last=Lang |first=David D. |title=Space Elevator Dynamic Response to In-Transit Climbers |access-date=9 February 2016 |archive-date=28 May 2016 |archive-url=https://web.archive.org/web/20160528232403/http://spaceelevatorwiki.com/images/2/2b/Paper_Lang_Climber_Transit.pdf |url-status=dead }}</ref> | ||
] | ] | ||
The horizontal speed of each part of the cable increases with altitude, proportional to distance from the center of the Earth, reaching low ] at a point approximately 66 percent of the height between the surface and geostationary orbit |
The horizontal speed, i.e. due to orbital rotation, of each part of the cable increases with altitude, proportional to distance from the center of the Earth, reaching low ] at a point approximately 66 percent of the height between the surface and geostationary orbit, or a height of about 23,400 km. A payload released at this point would go into a highly eccentric elliptical orbit, staying just barely clear from atmospheric reentry, with the ] at the same altitude as low earth orbit (LEO) and the ] at the release height. With increasing release height the orbit would become less eccentric as both periapsis and apoapsis increase, becoming circular at geostationary level.<ref>{{cite web |first=Blaise |last=Gassend |title=Falling Climbers |url=http://gassend.net/spaceelevator/falling-climbers/index.html |access-date=16 December 2013}}</ref><ref>{{cite web |title=Space elevator to low orbit? |url=http://www.endlessskyway.com/2010/05/space-elevator-to-low-orbit.html |date=19 May 2010 |website=Endless Skyway |access-date=16 December 2013 |archive-url=https://web.archive.org/web/20131216184533/http://www.endlessskyway.com/2010/05/space-elevator-to-low-orbit.html |archive-date=16 December 2013 |url-status=dead}}</ref> | ||
{{cite web | |||
|first=Blaise Gassend | |||
|title=Falling Climbers | |||
|url=http://gassend.net/spaceelevator/falling-climbers/index.html | |||
|accessdate=December 16, 2013 | |||
}}</ref><ref name=Skyway_to_LEO> | |||
{{cite web | |||
|first="Endless Skyway"|title=Space elevator to low orbit? | |||
|url=http://www.endlessskyway.com/2010/05/space-elevator-to-low-orbit.html | |||
|accessdate=December 16, 2013 | |||
}}</ref> | |||
When the payload has reached GEO, the horizontal speed is exactly the speed of a circular orbit at that level, so that if released, it would remain adjacent to that point on the cable. If not, while attached to the cable at GEO, the payload will be in a state of unstable vertical equilibrium: a small push down will send it accelerating back to the Earth, whereas a small push up will send acceleratig towards the end of the cable. If the cable extends long enough over GEO, the speed reached by the payload at the end can exceed orbital. | |||
When the payload has reached GEO, the horizontal speed is exactly the speed of a circular orbit at that level, so that if released, it would remain adjacent to that point on the cable. The payload can also continue climbing further up the cable beyond GEO, allowing it to obtain higher speed at jettison. If released from 100,000 km, the payload would have enough speed to reach the asteroid belt.<ref name="PhaseII" /> | |||
As a payload is lifted up a space elevator, it gains not only altitude, but horizontal speed (angular momentum) as well. This angular momentum is taken from the Earth's own rotation. As the climber ascends, it is initially moving slightly more slowly than each successive part of cable it is moving on to. This is the ], the climber "drags" (Westward) on the cable as it climbs. The opposite process would occur for payloads descending the elevator, tilting the cable eastwards and insignificantly increasing Earth's rotation speed. | |||
As a payload is lifted up a space elevator, it would gain not only altitude, but horizontal speed (angular momentum) as well. The angular momentum is taken from the Earth's rotation. As the climber ascends, it is initially moving slower than each successive part of cable it is moving on to. This is the ]: the climber "drags" (westward) on the cable, as it climbs, and slightly decreases the Earth's rotation speed. The opposite process would occur for descending payloads: the cable is tilted eastward, thus slightly increasing Earth's rotation speed. | |||
The overall effect of the <!--n.b. the elevator is in a non inertial reference frame, so centrifugal is correct--->centrifugal force acting on the cable causes it to constantly try to return to the energetically favorable vertical orientation, so after an object has been lifted on the cable the counterweight will swing back towards the vertical like an inverted pendulum.<ref name="LangGTOSS"/> Space elevators and their loads will be designed so that the center of mass is always well-enough above the level of geostationary orbit<ref>. Gassend.net. Retrieved on September 30, 2011.</ref> to hold up the whole system. Lift and descent operations must be carefully planned so as to keep the pendulum-like motion of the counterweight around the tether point under control.<ref>{{cite journal|doi=10.1016/j.actaastro.2008.10.003|title=The effect of climber transit on the space elevator dynamics|year=2009|last1=Cohen|first1=Stephen S.|last2=Misra|first2=Arun K.|journal=Acta Astronautica|volume=64|issue=5–6|pages=538–553}}</ref> | |||
The overall effect of the <!--n.b. the elevator is in a non inertial reference frame, so centrifugal is correct--->centrifugal force acting on the cable would cause it to constantly try to return to the energetically favorable vertical orientation, so after an object has been lifted on the cable, the counterweight would swing back toward the vertical, a bit like a pendulum.<ref name="LangGTOSS" /> Space elevators and their loads would be designed so that the center of mass is always well-enough above the level of geostationary orbit<ref>{{cite web |url=http://gassend.net/spaceelevator/center-of-mass/index.html |title=Why the Space Elevator's Center of Mass is not at GEO |first=Blaise |last=Gassend |access-date=30 September 2011}}</ref> to hold up the whole system. Lift and descent operations would need to be carefully planned so as to keep the pendulum-like motion of the counterweight around the tether point under control.<ref>{{cite journal|doi=10.1016/j.actaastro.2008.10.003|title=The effect of climber transit on the space elevator dynamics|year=2009|last1=Cohen|first1=Stephen S.|last2=Misra|first2=Arun K.|journal=Acta Astronautica|volume=64|issue=5–6|pages=538–553|bibcode=2009AcAau..64..538C}}</ref> | |||
Climber speed is constrained on the upper end by Coriolis force, power available and ensuring the climber's accelerating force does not break the cable. On the lower end, speed is constrained by the need to move material up and down economically and expeditiously. At the speed of a very fast car or train of 300 km/h (180 mph) it will take about five days to climb to geosynchronous orbit. | |||
Climber speed would be limited by the Coriolis force, available power, and by the need to ensure the climber's accelerating force does not break the cable. Climbers would also need to maintain a minimum average speed in order to move material up and down economically and expeditiously.<ref>{{Cite web|last=Courtland|first=Rachel|title=Space elevator trips could be agonisingly slow|url=https://www.newscientist.com/article/dn16223-space-elevator-trips-could-be-agonisingly-slow/|access-date=2021-05-28|website=New Scientist|language=en-US}}</ref> At the speed of a very fast car or train of {{convert|300|km/h|mph|abbr=on}} it will take about 5 days to climb to geosynchronous orbit.<ref>{{cite book |last1=Fawcett |first1=Bill |title=LIFTPORT |last2=Laine |first2=Michael |last3=Nugent Jr. |first3=Tom |date=2006 |publisher=Meisha Merlin Publishing, Inc. |isbn=978-1-59222-109-7 |location=Canada |page=103 |language=en |name-list-style=amp}}</ref> | |||
===Powering climbers=== | ===Powering climbers=== | ||
Both power and energy are significant issues for |
Both power and energy are significant issues for climbers – the climbers would need to gain a large amount of potential energy as quickly as possible to clear the cable for the next payload. | ||
Various methods have been proposed to |
Various methods have been proposed to provide energy to the climber: | ||
* Transfer the energy to the climber through ] while it is climbing. | * Transfer the energy to the climber through ] while it is climbing. | ||
* Transfer the energy to the climber through some material structure while it is climbing. | * Transfer the energy to the climber through some material structure while it is climbing. | ||
* Store the energy in the climber before it starts – requires an extremely high ] such as nuclear energy. | * Store the energy in the climber before it starts – requires an extremely high ] such as nuclear energy. | ||
* Solar power – After the first 40 km it is possible to use solar energy to power the climber<ref>{{cite web |last1=Swan |first1=P. A. |last2=Swan |first2=C. W. |last3=Penny |first3=R. E. |last4=Knapman |first4=J. M. |last5=Glaskowsky |first5=P. N. |title=Design Consideration for Space Elevator Tether Climbers |url=http://isec.org/pdfs/isec_reports/2013_ISEC_Design_Considerations_for_Space_Elevator_Tether_Climbers_Final_Report.pdf |url-status=dead |archive-url=https://web.archive.org/web/20170116175959/http://isec.org/pdfs/isec_reports/2013_ISEC_Design_Considerations_for_Space_Elevator_Tether_Climbers_Final_Report.pdf |archive-date=16 January 2017 |publisher=] |quote=During the last ten years, the assumption was that the only power available would come from the surface of the Earth, as it was inexpensive and technologically feasible. However, during the last ten years of discussions, conference papers, IAA Cosmic Studies, and interest around the globe, many discussions have led some individuals to the following conclusions: • Solar Array technology is improving rapidly and will enable sufficient energy for climbing • Tremendous advances are occurring in lightweight deployable structures.}}</ref> | |||
* Solar power – power compared to the weight of panels limits the speed of climb.<ref>{{cite web | |||
|url = http://www.isr.us/Downloads/niac_pdf/chapter4.html | |||
|title = NIAC Space Elevator Report – Chapter 4: Power Beaming | |||
|last = Edwards, B. C. | |||
|archiveurl = http://web.archive.org/web/20071013160456/http://isr.us/Downloads/niac_pdf/chapter4.html | |||
|archivedate = October 13, 2007 | |||
|publisher = ] | |||
|quote = Alternatives that have been suggested include running power up the cable, solar or nuclear power onboard and using the cable's movement in the environment's electromagnetic field. None of these methods are feasible on further examination due to efficiency or mass considerations. Another alternative is to run two cables, for carrying power (a high-voltage positive and a negative line) and each capable of holding the counterweight (system redundancy). | |||
}}</ref> | |||
Wireless energy transfer such as laser power beaming is currently considered the most likely method |
Wireless energy transfer such as ] is currently considered the most likely method, using megawatt-powered free electron or solid state lasers in combination with adaptive mirrors approximately {{convert|10|m|ft|abbr=on}} wide and a photovoltaic array on the climber tuned to the laser frequency for efficiency.<ref name="Edwards" /> For climber designs powered by power beaming, this efficiency is an important design goal. Unused energy would need to be re-radiated away with heat-dissipation systems, which add to weight. | ||
Yoshio Aoki, a professor of precision machinery engineering at ] and director of the Japan Space Elevator Association, suggested including a second cable and using the conductivity of carbon nanotubes to provide power.<ref name=JapanUKTimes/> | Yoshio Aoki, a professor of precision machinery engineering at ] and director of the Japan Space Elevator Association, suggested including a second cable and using the conductivity of carbon nanotubes to provide power.<ref name="JapanUKTimes" /> | ||
Various mechanical means of applying power have also been proposed; such as moving, looped or vibrating cables.{{Citation needed|date=January 2010}} | |||
===Counterweight=== | ===Counterweight=== | ||
] | |||
Several solutions have been proposed to act as a counterweight: | Several solutions have been proposed to act as a counterweight: | ||
* a heavy, captured ]<ref name="NASASci" /><ref>{{cite web|url=https://www.popsci.com/building-hanging-from-an-asteroid/ |title=This building hanging from an asteroid is absurd – but let's take it seriously for a second |work=Popular Science |first=Sara |last=Chodosh |date=29 March 2017 |language=en|access-date=4 September 2019}}</ref> | |||
*a heavy, captured ];<ref name=NASASci/> | |||
*a ], ] or ] positioned past geostationary orbit |
* a ], ] or ] positioned past geostationary orbit | ||
*a further upward extension of the cable itself so that the net upward pull |
* a further upward extension of the cable itself so that the net upward pull would be the same as an equivalent counterweight | ||
*parked spent climbers that had been used to thicken the cable during construction, other junk, and material lifted up the cable for the purpose of increasing the counterweight.<ref>Edwards BC, Westling EA. (2002) ''The Space Elevator: A Revolutionary Earth-to-Space Transportation System.'' San Francisco, |
* parked spent climbers that had been used to thicken the cable during construction, other junk, and material lifted up the cable for the purpose of increasing the counterweight.<ref name="PhaseII">Edwards BC, Westling EA. (2002) ''The Space Elevator: A Revolutionary Earth-to-Space Transportation System.'' San Francisco, California: Spageo Inc. {{ISBN|0-9726045-0-2}}.</ref> | ||
Extending the cable has the advantage of some simplicity of the task and the fact that a payload that went to the end of the counterweight-cable would acquire considerable velocity relative to the Earth, allowing it to be launched into interplanetary space. |
Extending the cable has the advantage of some simplicity of the task and the fact that a payload that went to the end of the counterweight-cable would acquire considerable velocity relative to the Earth, allowing it to be launched into interplanetary space. Its disadvantage is the need to produce greater amounts of cable material as opposed to using just anything available that has mass. | ||
==Related concepts== | |||
The conventional current concept of a "Space Elevator" has evolved from a static compressive structure reaching to the level of GEO, to the modern baseline idea of a static tensile structure anchored to the ground and extending to well above the level of GEO. In the current usage by practitioners (and in this article), a "Space Elevator" means the Tsiolkovsky-Artsutanov-Pearson type as considered by the . This conventional type is a static structure fixed to the ground and extending into space high enough that cargo can climb the structure up from the ground to a level where simple release will put the cargo into an ].<ref>"CLIMB: The Journal of the International Space Elevator Consortium", Volume 1, Number 1, December 2011, This journal is cited as an example of what is generally considered to be under the term "Space Elevator" by the international community. </ref> | |||
Some concepts related to this modern baseline are not usually termed a "Space Elevator", but are similar in some way and are sometimes termed "Space Elevator" by their proponents. For example, ] published an article in 1977 called "A Non-Synchronous Orbital ]" describing a concept using a rotating cable.<ref>{{cite journal|author=Moravec, Hans P. |title=A Non-Synchronous Orbital Skyhook|journal=Journal of the Astronautical Sciences|volume=25|date= October–December 1977|bibcode=1977JAnSc..25..307M|pages=307–322}}</ref> The rotation speed would exactly match the orbital speed in such a way that the tip velocity at the lowest point was zero compared to the object to be "elevated". It would dynamically grapple and then "elevate" high flying objects to orbit or low orbiting objects to higher orbit. Other ideas use very tall compressive towers to reduce the demands on launch vehicles.<ref name=TorontoProposal /> The vehicle is "elevated" up the tower, which may extend as high as ], and is launched from the top. | |||
==Applications== | |||
The original concept envisioned by Tsiolkovsky was a compression structure, a concept similar to an ]. While such structures might reach ] (100 km, 62 mi), they are unlikely to reach geostationary orbit. The concept of a Tsiolkovsky tower combined with a classic space elevator cable (reaching above the level of GEO) has been suggested.<ref name="JBIS1999">{{cite journal | |||
===Launching into deep space=== | |||
| author = Landis, Geoffrey A. and Cafarelli, Craig | |||
An object attached to a space elevator at a radius of approximately 53,100 km would be at ] when released. Transfer orbits to the L1 and L2 ]s could be attained by release at 50,630 and 51,240 km, respectively, and transfer to lunar orbit from 50,960 km.<ref>{{cite web|url=http://www.spaceelevator.com/docs/iac-2004/iac-04-iaa.3.8.3.04.engel.pdf |title=IAC-04-IAA.3.8.3.04 Lunar transportation scenarios utilising the space elevator |author=Engel, Kilian A. |publisher=www.spaceelevator.com |url-status=dead |archive-url=https://web.archive.org/web/20120424230830/http://www.spaceelevator.com/docs/iac-2004/iac-04-iaa.3.8.3.04.engel.pdf |archive-date=24 April 2012}}</ref> | |||
| year = 1999 | |||
| title = The Tsiolkovski Tower Reexamined | |||
| journal = Journal of the British Interplanetary Society | |||
| volume = 52 | |||
| pages = 175–180 | |||
| others = Presented as paper IAF-95-V.4.07, 46th International Astronautics Federation Congress, Oslo Norway, October 2–6, 1995 | |||
|bibcode = 1999JBIS...52..175L }} | |||
</ref> | |||
At the end of Pearson's {{convert|144,000|km|mi|abbr=on}} cable, the tangential velocity is 10.93 kilometers per second (6.79 mi/s). That is more than enough to ] Earth's gravitational field and send probes at least as far out as ]. Once at Jupiter, a ] maneuver could permit solar escape velocity to be reached.<ref name="aravind">{{cite journal|title=The physics of the space elevator |author=Aravind, P. K.|year=2007|journal=American Journal of Physics|volume=45|issue=2|doi=10.1119/1.2404957|page=125 |url=http://users.wpi.edu/~paravind/Publications/PKASpace%20Elevators.pdf |bibcode=2007AmJPh..75..125A|access-date=7 January 2013|archive-url=https://web.archive.org/web/20181221130720/http://users.wpi.edu/~paravind/Publications/PKASpace%20Elevators.pdf |archive-date=21 December 2018|url-status=dead}}</ref> | |||
A tall tower<ref>Boucher, Marc. (September 1, 2009) {{dead link|date=January 2014}}. Spaceelevator.com. Retrieved on September 30, 2011.</ref> to access near-space altitudes of {{convert|20|km|mi|abbr=on}} has been proposed by Canadian researchers. The structure would be pneumatically supported and free standing with control systems guiding the structure's center of mass. Proposed uses include tourism and commerce, communications, wind generation and low-cost space launch.<ref name=TorontoProposal>{{cite journal|doi=10.1016/j.actaastro.2009.02.018 |url=http://pi.library.yorku.ca/dspace/bitstream/handle/10315/2587/AA_3369_Quine_Space_Elevator_Final_2009.pdf|bibcode=2009AcAau..65..365Q|title=A free-standing space elevator structure: A practical alternative to the space tether|year=2009|last1=Quine|first1=B.M.|last2=Seth|first2=R.K.|last3=Zhu|first3=Z.H.|journal=Acta Astronautica|volume=65|issue=3–4|page=365}}</ref> | |||
===Extraterrestrial elevators=== | |||
Other concepts related to a space elevator (or parts of a space elevator) include an ], a pneumatic space tower,<ref name=YorkU2009 >{{cite news| title=York U-designed space elevator would reach 20 km above Earth | date=June 15, 2009 | publisher=York University | url =http://www.yorku.ca/mediar/archive/Release.php?Release=1695| accessdate = November 13, 2009 }}</ref><ref>, '']'', June 17, 2009. Retrieved Feb 2013.</ref> a ], a ], a ], a ], a space hoist and the ].<ref>{{dead link|date=January 2014}}, "Knight Science Journalism Tracker (MIT)", July 1, 2009</ref> | |||
==Launching into deep space== | |||
An object attached to a space elevator at a radius of approximately 53,100 km will be at ] when released. Transfer orbits to the L1 and L2 ]s can be attained by release at 50,630 and 51,240 km, respectively, and transfer to lunar orbit from 50,960 km.<ref>{{cite web|url=http://www.spaceelevator.com/docs/iac-2004/iac-04-iaa.3.8.3.04.engel.pdf|title=IAC-04-IAA.3.8.3.04 Lunar transportation scenarios utilising the space elevator|author=Engel, Kilian A. |publisher=www.spaceelevator.com}}{{dead link|date=January 2014}}</ref> | |||
At the end of Pearson's {{convert|144,000|km|mi|abbr=on}} cable, the tangential velocity is 10.93 kilometers per second (6.79 mi/s). That is more than enough to ] Earth's gravitational field and send probes at least as far out as ]. Once at Jupiter, a ] maneuver permits solar escape velocity to be reached.<ref name="aravind">{{cite journal|title=The physics of the space elevator|author=Aravind, P. K. |url=http://users.wpi.edu/~paravind/Publications/PKASpace%20Elevators.pdf|year=2007|journal=American Journal of Physics|volume=45|issue=2|publisher=American Association of Physics Teachers|doi=10.1119/1.2404957|page=125|bibcode = 2007AmJPh..75..125A }}</ref> | |||
==Extraterrestrial elevators== | |||
A space elevator could also be constructed on other planets, asteroids and moons. | A space elevator could also be constructed on other planets, asteroids and moons. | ||
A ] tether could be much shorter than one on Earth. Mars' surface gravity is 38 percent of Earth's, while it rotates around its axis in about the same time as Earth. Because of this, Martian ] is much closer to the surface, and hence the elevator |
A ] tether could be much shorter than one on Earth. Mars' surface gravity is 38 percent of Earth's, while it rotates around its axis in about the same time as Earth. Because of this, Martian ] is much closer to the surface, and hence the elevator could be much shorter. Current materials are already sufficiently strong to construct such an elevator.<ref>Forward, Robert L. and Moravec, Hans P. (22 March 1980) . Carnegie Mellon University. "Interestingly enough, they are already more than strong enough for constructing skyhooks on the moon and Mars."</ref> Building a Martian elevator would be complicated by the Martian moon ], which is in a low orbit and intersects the Equator regularly (twice every orbital period of 11 h 6 min). Phobos and Deimos may get in the way of an areostationary space elevator; on the other hand, they may contribute useful resources to the project. Phobos is projected to contain high amounts of carbon. If carbon nanotubes become feasible for a tether material, there will be an abundance of carbon near Mars. This could provide readily available resources for future colonization on Mars. | ||
]]] | |||
On the near side of the Moon, the strength-to-density required of the tether of a ] exists in currently available materials. A lunar space elevator would be about {{convert|50,000|km|mi|sp=us}} long. Since the Moon does not rotate fast enough, there is no effective lunar-stationary orbit, but the ]s could be used. The near side would extend through the Earth-Moon ] point from an anchor point near the center of the visible part of Earth's Moon.<ref name="Pearson 2005"/> | |||
] vs ] vs ] ] at ]]] | |||
] is ]: one side always faces its primary, Mars. An elevator extending 6,000 km from that inward side would end about 28 kilometers above the ], just out of the denser parts of the ]. A similar cable extending 6,000 km in the opposite direction would ] the first, so the center of mass of this system remains in Phobos. In total the space elevator would extend out over 12,000 km which would be below ] of Mars (17,032 km). A rocket launch would still be needed to get the rocket and cargo to the beginning of the space elevator 28 km above the surface. The surface of Mars is rotating at 0.25 ] at the equator and the bottom of the space elevator would be rotating around Mars at 0.77 km/s, so only 0.52 km/s (1872 km/h) of ] would be needed to get to the space elevator. Phobos orbits at 2.15 km/s and the outermost part of the space elevator would rotate around Mars at 3.52 km/s.<ref>{{cite journal |last1=Weinstein |first1=Leonard M. |title=Space Colonization Using Space-Elevators from Phobos |journal=AIP Conference Proceedings |date=January 2003 |volume=654 |pages=1227–1235 |doi=10.1063/1.1541423 |s2cid=1661518 |bibcode=2003AIPC..654.1227W |hdl=2060/20030065879 |url=https://space.nss.org/wp-content/uploads/2003-Space-Colonization-Using-Space-Elevators-From-Phobos.pdf |access-date=23 December 2022 |language=en}}</ref><ref>{{cite conference |last1=Weinstein |first1=Leonard |title=AIP Conference Proceedings |chapter=Space Colonization Using Space-Elevators from Phobos |conference=AIP Conference Proceedings|year=2003 |volume=654 |pages=1227–1235 |doi=10.1063/1.1541423 |bibcode=2003AIPC..654.1227W |hdl=2060/20030065879 |hdl-access=free}}</ref> | |||
The Earth's ] is a potential location for a ], especially as the ] required for the tether is low enough to use currently available materials. The Moon does not rotate fast enough for an elevator to be supported by centrifugal force (the proximity of the Earth means there is no effective lunar-stationary orbit), but differential gravity forces means that an elevator could be constructed through ]s. A near-side elevator would extend through the Earth-Moon ] point from an anchor point near the center of the visible part of Earth's Moon: the length of such an elevator must exceed the maximum L1 altitude of 59,548 km, and would be considerably longer to reduce the mass of the required apex counterweight.<ref name="Pearson 2005" /> A far-side lunar elevator would pass through the L2 Lagrangian point and would need to be longer than on the near-side; again, the tether length depends on the chosen apex anchor mass, but it could also be made of existing engineering materials.<ref name="Pearson 2005">{{cite web |last1=Pearson |first1=Jerome |last2=Levin |first2=Eugene |last3=Oldson |first3=John |last4=Wykes |first4=Harry |year=2005 |title=Lunar Space Elevators for Cislunar Space Development Phase I Final Technical Report |url=http://www.niac.usra.edu/files/studies/final_report/1032Pearson.pdf}}</ref> | |||
On the far side of the Moon, a lunar space elevator would need to be very long—more than twice the length of an Earth elevator—but due to the low gravity of the Moon, can also be made of existing engineering materials.<ref name="Pearson 2005">{{cite web| url=http://www.niac.usra.edu/files/studies/final_report/1032Pearson.pdf| last=Pearson| year= 2005| title=Lunar Space Elevators for Cislunar Space Development Phase I Final Technical Report| first=Jerome| coauthors= Eugene Levin, John Oldson and Harry Wykes| format=PDF}}</ref> | |||
] space elevator concept—the ] is less than 2% of earths at ~{{val|0.144|u=m/s2}}<ref name=Shepard-Richardson-etal-2017> | |||
Rapidly spinning asteroids or moons could use cables to eject materials to convenient points, such as Earth orbits;{{Citation needed|date=August 2008}} or conversely, to eject materials to send the bulk of the mass of the asteroid or moon to Earth orbit or a ]. ], a physicist and mathematician, has suggested{{Citation needed|date=September 2008}} using such smaller systems as power generators at points distant from the Sun where solar power is uneconomical. | |||
{{cite journal | |||
|last1=Shepard |first1=Michael K. | |||
|last2=Richardson |first2=James | |||
|last3=Taylor |first3=Patrick A. | |||
|display-authors=etal | |||
|year=2017 | |||
|title=Radar observations and shape model of asteroid 16 Psyche | |||
|journal=Icarus | |||
|volume=281 |pages=388–403 | |||
|bibcode=2017Icar..281..388S | |||
|doi=10.1016/j.icarus.2016.08.011 |doi-access=free | |||
}} | |||
</ref>]] | |||
] space elevator concept –<br />] is {{ubl|{{Gr|0.938|469.7|3}} ]{{refn|groupname=lower-alpha|name="known parameters"|Calculated based on known parameters: | |||
* Surface area: 4πr{{sup|2}} | |||
* Surface gravity: {{sfrac|GM|r{{sup|2}}}} | |||
* Escape velocity: {{sqrt|{{sfrac|2GM|r}}}} | |||
* Rotation velocity: {{sfrac|rotation period|circumference}}}}|0.029 ]}} less than 3% of ]'s]] | |||
Rapidly spinning asteroids or moons could use cables to eject materials to convenient points, such as Earth orbits;<ref>Ben Shelef, the Spaceward Foundation. {{Webarchive|url=https://web.archive.org/web/20130806051254/http://www.spaceward.org/documents/papers/ASE.pdf|date=6 August 2013}}.</ref> or conversely, to eject materials to send a portion of the mass of the asteroid or moon to Earth orbit or a ]. ], a physicist and mathematician, suggested{{Citation needed|date=September 2008}} using such smaller systems as power generators at points distant from the Sun where solar power is uneconomical. | |||
A space elevator using presently available engineering materials could be constructed between mutually tidally locked worlds, such as Pluto and Charon or the components of binary asteroid Antiope, with no terminus disconnect, according to Francis Graham of Kent State University.<ref>{{cite |
A space elevator using presently available engineering materials could be constructed between mutually tidally locked worlds, such as ] and ] or the components of binary asteroid ], with no terminus disconnect, according to Francis Graham of Kent State University.<ref>{{cite book|author=Graham FG |title=45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit|doi=10.2514/6.2009-4906|chapter=Preliminary Design of a Cable Spacecraft Connecting Mutually Tidally Locked Planetary Bodies|year=2009|isbn=978-1-60086-972-3}}</ref> However, spooled variable lengths of cable must be used due to ellipticity of the orbits. | ||
==Construction== | ==Construction== | ||
{{Main|Space elevator construction}} | {{Main|Space elevator construction}} | ||
The construction of a space elevator would need reduction of some technical risk. Some advances in engineering, manufacturing and physical technology are required. Once a first space elevator is built, the second one and all others would have the use of the previous ones to assist in construction, making their costs considerably lower. Such follow-on space elevators would also benefit from the great reduction in technical risk achieved by the construction of the first space elevator. | |||
The construction of a space elevator would need reduction of some technical risk. Some advances in engineering, manufacturing and physical technology are required.<ref name="Edwards" /> Once a first space elevator is built, the second one and all others would have the use of the previous ones to assist in construction, making their costs considerably lower. Such follow-on space elevators would also benefit from the great reduction in technical risk achieved by the construction of the first space elevator.<ref name="Edwards" /> | |||
Construction is conceived as the deployment of a long cable from a large spool. The spool is initially parked in a geostationary orbit above the planned anchor point. When a long cable is dropped "down" (toward Earth), it must be balanced by balancing mass being dropped "up" (away from Earth) for the whole system to remain on the geosynchronous orbit. Earlier designs imagined the balancing mass to be another cable (with counterweight) extending upward, with the main spool remaining at the original geosynchronous orbit level. Most current designs elevate the spool itself as the main cable is paid out, a simpler process. When the lower end of the cable is so long as to reach the Earth (at the equator), it can be anchored. Once anchored, the center of mass is elevated more (by adding mass at the upper end or by paying out more cable). This adds more tension to the whole cable, which can then be used as an elevator cable. | |||
Prior to the work of Edwards in 2000,<ref name="EDWARDS_PHASE_I_2000_472Edwards.html" /> most concepts for constructing a space elevator had the cable manufactured in space. That was thought to be necessary for such a large and long object and for such a large counterweight. Manufacturing the cable in space would be done in principle by using an ] or ] for source material.<ref name="Smitherman"/><ref>Hein, A. M., , International Astronautical Congress 2012, IAC-2012, Naples, Italy, 2012.</ref> These earlier concepts for construction require a large preexisting ] to maneuver an asteroid into its needed orbit around Earth. They also required the development of technologies for manufacture in space of large quantities of exacting materials.<ref name="ISEC_SE_way_forward_2013">{{cite book |editor-last1=Swan |editor-first1=Peter A. |editor-last2=Raitt |editor-first2=David I. |editor-last3=Swan |editor-first3=Cathy W. |editor-last4=Penny |editor-first4=Robert E. |editor-last5=Knapman |editor-first5=John M. |date=2013 |title=Space Elevators: An Assessment of the Technological Feasibility and the Way Forward |url=http://www.virginiaedition.com/media/spaceelevators.pdf |url-status=live |archive-url=https://web.archive.org/web/20140516231842/http://www.virginiaedition.com/media/spaceelevators.pdf |archive-date=16 May 2014 |publisher=] |isbn=9782917761311}}</ref>{{rp|326}} | |||
Since 2001, most work has focused on simpler methods of construction requiring much smaller space infrastructures. They conceive the launch of a long cable on a large spool, followed by deployment of it in space.<ref name="Edwards" /><ref name="EDWARDS_PHASE_I_2000_472Edwards.html" /><ref name="ISEC_SE_way_forward_2013" />{{rp|326}} The spool would be initially parked in a geostationary orbit above the planned anchor point. A long cable would be dropped "downward" (toward Earth) and would be balanced by a mass being dropped "upward" (away from Earth) for the whole system to remain on the geosynchronous orbit. Earlier designs imagined the balancing mass to be another cable (with counterweight) extending upward, with the main spool remaining at the original geosynchronous orbit level. Most current designs elevate the spool itself as the main cable is payed out, a simpler process. When the lower end of the cable is long enough to reach the surface of the Earth (at the equator), it would be anchored. Once anchored, the center of mass would be elevated more (by adding mass at the upper end or by paying out more cable). This would add more tension to the whole cable, which could then be used as an elevator cable. | |||
One plan |
One plan for construction uses conventional rockets to place a "minimum size" initial seed cable of only 19,800 kg.<ref name="Edwards" /> This first very small ribbon would be adequate to support the first 619 kg climber. The first 207 climbers would carry up and attach more cable to the original, increasing its cross section area and widening the initial ribbon to about 160 mm wide at its widest point. The result would be a 750-ton cable with a lift capacity of 20 tons per climber. | ||
===Safety issues and construction challenges=== | ===Safety issues and construction challenges=== | ||
{{Main|Space elevator safety}} | {{Main|Space elevator safety}} | ||
For early systems, transit times from the surface to the level of geosynchronous orbit would be about five days. |
For early systems, transit times from the surface to the level of geosynchronous orbit would be about five days. On these early systems, the time spent moving through the ] would be enough that passengers would need to be protected from radiation by shielding, which would add mass to the climber and decrease payload.<ref>{{cite web|url=https://www.newscientist.com/article/dn10520 |title=Space elevators: 'First floor, deadly radiation!' |access-date=2 January 2010 |date=13 November 2006|work=New Scientist |publisher=Reed Business Information Ltd.}}</ref> | ||
A space elevator would present a navigational hazard, both to aircraft and spacecraft. Aircraft could be diverted by ] restrictions. All objects in stable orbits that have ] below the maximum altitude of the cable that are not synchronous with the cable |
A space elevator would present a navigational hazard, both to aircraft and spacecraft. Aircraft could be diverted by ] restrictions. All objects in stable orbits that have ] below the maximum altitude of the cable that are not synchronous with the cable would impact the cable eventually, unless avoiding action is taken. One potential solution proposed by Edwards is to use a movable anchor (a sea anchor) to allow the tether to "dodge" any space debris large enough to track.<ref name="Edwards" /> | ||
Impacts by space objects such as meteoroids, micrometeorites and orbiting man-made debris |
Impacts by space objects such as meteoroids, micrometeorites and orbiting man-made debris pose another design constraint on the cable. A cable would need to be designed to maneuver out of the way of debris, or absorb impacts of small debris without breaking.{{Citation needed|date=July 2022}} | ||
===Economics=== | ===Economics=== | ||
{{Main|Space elevator economics}} | {{Main|Space elevator economics}} | ||
With a space elevator, materials might be sent into orbit at a fraction of the current cost. As of |
With a space elevator, materials might be sent into orbit at a fraction of the current cost. As of 2022, conventional rocket designs cost about US$12,125 per ] (US$5,500 per ]) for transfer to geostationary orbit.<ref>{{cite web|url=https://www.spacex.com/rideshare/#:~:text=%24275k%20for%2050kg%20to,LEO%2C%20GTO%2C%20and%20TLI.|title=Smallsat Rideshare Program|date=1 March 2022|work=SpaceX|access-date=1 May 2023}}</ref> Current space elevator proposals envision payload prices starting as low as $220 per kilogram ($100 per ]),<ref>{{cite web |author=The Spaceward Foundation |title=The Space Elevator FAQ |url=http://www.spaceward.org/elevator-faq |url-status=dead |archive-url=https://web.archive.org/web/20090227115101/http://www.spaceward.org/elevator-faq |archive-date=27 February 2009 |access-date=3 June 2009 |location=Mountain View, California}}</ref> similar to the $5–$300/kg estimates of the ], but higher than the $310/ton to 500 km orbit quoted to Dr. ] for an orbital airship system.<ref>{{cite web |first=Jerry |last=Pournelle |date=23 April 2003 |url=http://www.jerrypournelle.com/archives2/archives2view/view306.html#Friday |title=Friday's VIEW post from the 2004 Space Access Conference |access-date=1 January 2010}}</ref> | ||
Philip Ragan, co-author of the book |
Philip Ragan, co-author of the book ''Leaving the Planet by Space Elevator'', states that "The first country to deploy a space elevator will have a 95 percent cost advantage and could potentially control all space activities."<ref>{{cite news |url=http://www.news.com.au/news/race-to-build-worlds-first-space-elevator/story-fna7dq6e-1111118059040 |title=Race on to build world's first space elevator |date=17 November 2008|work=news.com.au|first=Andrew |last=Ramadge|author2=Schneider, Kate|access-date=January 14, 2016|url-status=dead|archive-date=13 September 2015 |archive-url=https://web.archive.org/web/20150913204538/http://www.news.com.au/news/race-to-build-worlds-first-space-elevator/story-fna7dq6e-1111118059040}}</ref> | ||
==International Space Elevator Consortium (ISEC)== | |||
The International Space Elevator Consortium (ISEC) is a US Non-Profit ] Corporation<ref>{{Cite web|title=ISEC IRS filing |url=https://apps.irs.gov/app/eos/displayAll.do?dispatchMethod=displayAllInfo&Id=4984679&ein=800302896&country=US&deductibility=all&dispatchMethod=searchAll&isDescending=false&city=&ein1=80-0302896&postDateFrom=&exemptTypeCode=al&submitName=Search&sortColumn=orgName&totalResults=1&names=&resultsPerPage=25&indexOfFirstRow=0&postDateTo=&state=IL|website=apps.irs.gov |access-date=9 February 2019}}</ref> formed to promote the development, construction, and operation of a space elevator as "a revolutionary and efficient way to space for all humanity".<ref name="isec">{{cite web |url=http://www.isec.org/index.php/what-is-isec |work=ISEC |title=What is ISEC? : About Us |access-date=2 June 2012 |url-status=dead |archive-url=https://web.archive.org/web/20120707201835/http://www.isec.org/index.php/what-is-isec |archive-date=7 July 2012}}</ref> It was formed after the Space Elevator Conference in ] in July 2008 and became an affiliate organization with the ]<ref>{{Cite web|title=NSS Affiliates|website=www.nss.org |url=http://www.nss.org/about/affiliates.html|access-date=30 August 2015|archive-date=16 October 2015 |archive-url=https://web.archive.org/web/20151016040656/http://www.nss.org/about/affiliates.html|url-status=dead}}</ref> in August 2013.<ref name="isec" /> ISEC hosts an annual Space Elevator conference at the ].<ref>{{Cite web |url=https://www.space.com/27225-space-elevator-technology.html|title=Space Elevator Advocates Take Lofty Look at Innovative Concepts |first=Leonard |last=David |date=22 September 2014 |website=Space.com |language=en|access-date=13 February 2019}}</ref><ref>{{Cite web|url=https://space.nss.org/the-international-space-elevator-consortium-isec-2017-space-elevator-conference/ |title=The International Space Elevator Consortium (ISEC) 2017 Space Elevator Conference |date=14 August 2017|publisher=National Space Society |language=en-US|access-date=13 February 2019}}</ref><ref>{{Cite web |url=http://spaceref.com/space-elevator/annual-space-elevator-conference-set-for-august-25-27.html |title=Annual Space Elevator Conference Set for August 25–27 |website=SpaceRef |first=Marc |last=Boucher |date=17 July 2012 |access-date=13 February 2019 }}{{Dead link|date=December 2023 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> | |||
ISEC coordinates with the two other major societies focusing on space elevators: the Japanese Space Elevator Association<ref>{{Cite web|title = Japan Space Elevator Association|url = http://www.jsea.jp/links/|script-website = ja:一般|JSEA 一般社団法人 宇宙エレベーター協会|access-date = 30 August 2015}}</ref> and EuroSpaceward.<ref>{{cite web|url = http://www.eurospaceward.org/|title = Eurospaceward|date = 30 August 2015|access-date = 30 August 2015|website = Eurospaceward}}</ref> ISEC supports symposia and presentations at the International Academy of Astronautics<ref>{{Cite web|url = http://iaaweb.org/content/view/624/823/|title = Homepage of the Study Group 3.24, Road to Space Elevator Era|date = 2 October 2014|access-date = 30 August 2015|website = The International Academy of Astronautics (IAA)|last = Akira|first = Tsuchida}}</ref> and the International Astronautical Federation Congress<ref>{{Cite web|url = http://www.iafastro.org/events/iac/iac-2014/meetings/|title = IAC 2014 Meeting Schedule|access-date = 30 August 2015|website = International Astronautical Federation|archive-date = 24 September 2015|archive-url = https://web.archive.org/web/20150924032203/http://www.iafastro.org/events/iac/iac-2014/meetings/|url-status = dead}}</ref> each year. | |||
==Related concepts== | |||
The conventional current concept of a "Space Elevator" has evolved from a static compressive structure reaching to the level of GEO, to the modern baseline idea of a static tensile structure anchored to the ground and extending to well above the level of GEO. In the current usage by practitioners (and in this article), a "Space Elevator" means the Tsiolkovsky-Artsutanov-Pearson type as considered by the International Space Elevator Consortium. This conventional type is a static structure fixed to the ground and extending into space high enough that cargo can climb the structure up from the ground to a level where simple release will put the cargo into an ].<ref>"CLIMB: The Journal of the International Space Elevator Consortium", Volume 1, Number 1, December 2011, This journal is cited as an example of what is generally considered to be under the term "Space Elevator" by the international community. {{Webarchive|url=https://web.archive.org/web/20131218085857/http://www.isec.org/index.php?option=com_content&view=article&id=28&Itemid=31|date=18 December 2013}}.</ref> | |||
Some concepts related to this modern baseline are not usually termed a "Space Elevator", but are similar in some way and are sometimes termed "Space Elevator" by their proponents. For example, ] published an article in 1977 called "A Non-Synchronous Orbital ]" describing a concept using a rotating cable.<ref>{{cite journal |author=Moravec, Hans P. |title=A Non-Synchronous Orbital Skyhook|journal=Journal of the Astronautical Sciences|volume=25 |date=October–December 1977|bibcode=1977JAnSc..25..307M|pages=307–322}}</ref> The rotation speed would exactly match the orbital speed in such a way that the tip velocity at the lowest point was zero compared to the object to be "elevated". It would dynamically grapple and then "elevate" high flying objects to orbit or low orbiting objects to higher orbit. | |||
The original concept envisioned by Tsiolkovsky was a compression structure, a concept similar to an ]. While such structures might reach ] (100 km, 62 mi), they are unlikely to reach geostationary orbit. The concept of a Tsiolkovsky tower combined with a classic space elevator cable (reaching above the level of GEO) has been suggested.<ref name="JBIS1999"/> Other ideas use very tall compressive towers to reduce the demands on launch vehicles.<ref name="TorontoProposal"/> The vehicle is "elevated" up the tower, which may extend as high as ], and is launched from the top. Such a tall tower to access near-space altitudes of {{cvt|20|km|mi}} has been proposed by various researchers.<ref name="TorontoProposal">{{cite journal |last1=Quine |first1=B. M. |last2=Seth |first2=R. K. |last3=Zhu |first3=Z. H. |year=2009 |title=A free-standing space elevator structure: A practical alternative to the space tether |url=http://pi.library.yorku.ca/dspace/bitstream/handle/10315/2587/AA_3369_Quine_Space_Elevator_Final_2009.pdf |journal=Acta Astronautica |volume=65 |issue=3–4 |page=365 |bibcode=2009AcAau..65..365Q |citeseerx=10.1.1.550.4359 |doi=10.1016/j.actaastro.2009.02.018}}</ref><ref>{{Cite book |doi = 10.2514/6.1998-3737|chapter = Compression structures for Earth launch |title = 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit|year = 1998|last1 = Landis|first1 = Geoffrey}}</ref><ref>Hjelmstad, Keith, , ''Hieroglyph'', 30 November 2013. Retrieved 1 September 2015.</ref> | |||
The aerovator is a concept invented by a Yahoo Group discussing space elevators, and included in a 2009 book about space elevators. It would consist of a >1000 km long ribbon extending diagonally upwards from a ground-level hub and then levelling out to become horizontal. Aircraft would pull on the ribbon while flying in a circle, causing the ribbon to rotate around the hub once every 13 minutes with its tip travelling at 8 km/s. The ribbon would stay in the air through a mix of ] and centrifugal force. Payloads would climb up the ribbon and then be launched from the fast-moving tip into orbit.<ref>{{Citation |last=Van Pelt |first=Micheal |title=Space Elevators |date=2009 |work=Space Tethers and Space Elevators |pages=143–178 |editor-last= |editor-first= |url=https://doi.org/10.1007/978-0-387-76556-3_6 |access-date=2023-12-27 |place=New York, New York |publisher=Springer |language=en-us |doi=10.1007/978-0-387-76556-3_6 |isbn=978-0-387-76556-3}}.</ref> | |||
Other concepts for ] related to a space elevator (or parts of a space elevator) include an ], a ], a ], a ], a ], and a buoyant "SpaceShaft".<ref>{{Cite web |title=Space Shaft: Or, the story that would have been a bit finer, if only one had known.... |url=https://ksj.mit.edu/tracker-archive/space-shaft-or-story-would-have-been-bit/ |access-date=2024-04-18 |website=Knight Science Journalism @MIT |language=en-US}}</ref> | |||
==Notes== | |||
{{reflist|group=note}} | |||
==See also== | ==See also== | ||
{{Portal|Spaceflight|Science}} | {{Portal|Spaceflight|Science}} | ||
*] | |||
* ] – a space elevator prize competition | |||
*] | |||
* ] for the Moon variant | |||
* ] discusses alternative construction methods of a space elevator. | |||
* ] discusses capital and maintenance costs of a space elevator. | |||
* ] discusses safety aspects of space elevator construction and operation. | |||
* ] | |||
* ] – for other transportation methods using long cables | |||
* ]: | |||
** ] – a hypervelocity belt system that forms a launch track at 80 km | |||
**] – an alternative method for moving materials or people | |||
** ] or ] – among methods for launching materials | |||
** ] – very tall structures using fast moving masses to hold it up | |||
** ] – A atmospherically buoyant spar that could reach up to LEO and provide super-heavy lifting capacity. | |||
==References== | ==References== | ||
{{ |
{{reflist|1=25em}} | ||
==Further reading== | ==Further reading== | ||
{{Refbegin}} | |||
* Edwards BC, Ragan P. "Leaving The Planet By Space Elevator" Seattle, USA: Lulu; 2006. ISBN 978-1-4303-0006-9 | |||
* {{Webarchive|url=https://web.archive.org/web/20150328040627/http://www.nss.org/resources/library/spaceelevator/2000-SpaceElevator-NASA-CP210429.pdf |date=28 March 2015 }} (PDF), held in 1999 at the NASA Marshall Space Flight Center, Huntsville, Alabama. Compiled by D.V. Smitherman Jr., published August 2000 | |||
* Edwards BC, Westling EA. ''The Space Elevator: A Revolutionary Earth-to-Space Transportation System.'' San Francisco, USA: Spageo Inc.; 2002. ISBN 0-9726045-0-2. | |||
* "The Political Economy of Very Large Space Projects" , John Hickman, Ph.D. '']'' Vol. 4 – November 1999 | |||
* <nowiki></nowiki>. A conference publication based on findings from the Advanced Space Infrastructure Workshop on Geostationary Orbiting Tether "Space Elevator" Concepts, held in 1999 at the NASA Marshall Space Flight Center, Huntsville, Alabama. Compiled by D.V. Smitherman, Jr., published August 2000. | |||
* By Bradley Carl Edwards | |||
*"The Political Economy of Very Large Space Projects" , John Hickman, Ph.D. '']'' Vol. 4 – November 1999. | |||
* Ziemelis K. (2001) "Going up". In ] '''2289''': 24–27. {{Webarchive|url=https://web.archive.org/web/20220112075348/http://www.spaceref.com/news/viewnews.html?id=337 |date=12 January 2022 }}. Title page: "The great space elevator: the dream machine that will turn us all into astronauts." | |||
* By Bradley Carl Edwards | |||
* . An overview by Leonard David of space.com, published 27 March 2002 | |||
*Ziemelis K. (2001) "Going up". In ] '''2289''': 24–27. . Title page: "The great space elevator: the dream machine that will turn us all into astronauts." | |||
* Krishnaswamy, Sridhar. Stress Analysis – (PDF) | |||
*{{dead link|date=January 2014}}. An overview by Leonard David of space.com, published March 27, 2002. | |||
* ]'s Roadmap for Elevator To Space (PDF) | |||
* Krishnaswamy, Sridhar. Stress Analysis — {{dead link|date=January 2014}} (PDF) | |||
* {{cite news |date=28 March 2008 |first=David |last=Shiga |url=https://www.newscientist.com/article/dn13552-space-elevators-face-wobble-problem/ |title=Space elevators face wobble problem |work=New Scientist}} | |||
* ]'s Roadmap for Elevator To Space {{dead link|date=January 2014}} (PDF) | |||
* Alexander Bolonkin, "". Elsevier, 2005. 488 pgs{{ISBN|978-0-08044-731-5}}. | |||
* {{dead link|date=January 2014}}: New Scientist | |||
* Alexander Bolonkin, “Non Rocket Space Launch and Flight”. Elsevier, 2005. 488 pgs. ISBN 978-0-08044-731-5 .http://www.archive.org/details/Non-rocketSpaceLaunchAndFlight, | |||
{{Refend}} | {{Refend}} | ||
==External links== | ==External links== | ||
{{Commons category|Space elevators}} | {{Commons category|Space elevators}} | ||
{{Spoken Misplaced Pages|Space_elevator.ogg|2006-05-29}} | {{Spoken Misplaced Pages|Space_elevator.ogg|date=2006-05-29}} | ||
* | * (8 June 2006 – subscription required) | ||
* ''Riding the Space Elevator'' | |||
* | |||
* | |||
* | |||
* {{Webarchive|url=https://web.archive.org/web/20200201205032/http://www.islandone.org/LEOBiblio/CLARK1.HTM |date=1 February 2020 }}. By Sir Arthur C. Clarke. Address to the XXXth International Astronautical Congress, Munich, 20 September 1979 | |||
* – Ing-Math.Net (German Max-Born Space Elevator Team 2006) (German) | |||
* | |||
* (WARR) (German) | |||
* |
* entry at '']'' | ||
* ''Riding the Space Elevator'' | |||
* | |||
* . By Sir Arthur C. Clarke. Address to the XXXth International Astronautical Congress, Munich, September 20, 1979. | |||
* The math and the numbers for actual materials. | |||
{{Space elevator}} | {{Space elevator}} | ||
{{Non-rocket spacelaunch}} | {{Non-rocket spacelaunch}} | ||
{{Emerging technologies}} | {{Emerging technologies|topics=yes|space=yes}} | ||
{{Authority control}} | |||
{{DEFAULTSORT:Space Elevator}} | {{DEFAULTSORT:Space Elevator}} | ||
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Latest revision as of 02:49, 11 January 2025
Proposed type of space transportation system
A space elevator, also referred to as a space bridge, star ladder, and orbital lift, is a proposed type of planet-to-space transportation system, often depicted in science fiction. The main component would be a cable (also called a tether) anchored to the surface and extending into space. An Earth-based space elevator would consist of a cable with one end attached to the surface near the equator and the other end attached to a counterweight in space beyond geostationary orbit (35,786 km altitude). The competing forces of gravity, which is stronger at the lower end, and the upward centrifugal pseudo-force (it is actually the inertia of the counterweight that creates the tension on the space side), which is stronger at the upper end, would result in the cable being held up, under tension, and stationary over a single position on Earth. With the tether deployed, climbers (crawlers) could repeatedly climb up and down the tether by mechanical means, releasing their cargo to and from orbit. The design would permit vehicles to travel directly between a planetary surface, such as the Earth's, and orbit, without the use of large rockets.
History
Early concept
The idea of the space elevator appears to have developed independently in different times and places. The earliest models originated with two Russian scientists in the late nineteenth century. In his 1895 collection Dreams of Earth and Sky, Konstantin Tsiolkovsky envisioned a massive sky ladder to reach the stars as a way to overcome gravity. Decades later, in 1960, Yuri Artsutanov independently developed the concept of a "Cosmic Railway", a space elevator tethered from an orbiting satellite to an anchor on the equator, aiming to provide a safer and more efficient alternative to rockets. In 1966, Isaacs and his colleagues introduced the concept of the 'Sky-Hook', proposing a satellite in geostationary orbit with a cable extending to Earth.
Innovations and designs
The space elevator concept reached America in 1975 when Jerome Pearson began researching the idea, inspired by Arthur C. Clarke's 1969 speech before Congress. After working as an engineer for NASA and the Air Force Research Laboratory, he developed a design for an "Orbital Tower", intended to harness Earth's rotational energy to transport supplies into low Earth orbit. In his publication in Acta Astronautica, the cable would be thickest at geostationary orbit where tension is greatest, and narrowest at the tips to minimize weight per unit area. He proposed extending a counterweight to 144,000 kilometers (89,000 miles) as without a large counterweight, the upper cable would need to be longer due to the way gravitational and centrifugal forces change with distance from Earth. His analysis included the Moon's gravity, wind, and moving payloads. Building the elevator would have required thousands of Space Shuttle trips, though material could be transported once a minimum strength strand reached the ground or be manufactured in space from asteroidal or lunar ore. Pearson's findings, published in Acta Astronautica, caught Clarke's attention and led to technical consultations for Clarke's science fiction novel The Fountains of Paradise (1979), which features a space elevator.
The first gathering of multiple experts who wanted to investigate this alternative to space flight took place at the 1999 NASA conference 'Advanced Space Infrastructure Workshop on Geostationary Orbiting Tether Space Elevator Concepts'. in Huntsville, Alabama. D.V. Smitherman, Jr., published the findings in August of 2000 under the title Space Elevators: An Advanced Earth-Space Infrastructure for the New Millennium, concluding that the space elevator could not be built for at least another 50 years due to concerns about the cable's material, deployment, and upkeep.
Dr. B.C. Edwards suggested that a 100,000 km (62,000 mi) long paper-thin ribbon, utilizing a carbon nanotube composite material could solve the tether issue due to their high tensile strength and low weight The proposed wide-thin ribbon-like cross-section shape instead of earlier circular cross-section concepts would increase survivability against meteoroid impacts. With support from NASA Institute for Advanced Concepts (NIAC), his work was involved more than 20 institutions and 50 participants. The Space Elevator NIAC Phase II Final Report, in combination with the book The Space Elevator: A Revolutionary Earth-to-Space Transportation System (Edwards and Westling, 2003) summarized all effort to design a space elevator including deployment scenario, climber design, power delivery system, orbital debris avoidance, anchor system, surviving atomic oxygen, avoiding lightning and hurricanes by locating the anchor in the western equatorial Pacific, construction costs, construction schedule, and environmental hazards. Additionally, he researched the structural integrity and load-bearing capabilities of space elevator cables, emphasizing their need for high tensile strength and resilience. His space elevator concept never reached NIAC's third phase, which he attributed to submitting his final proposal during the week of the Space Shuttle Columbia disaster.
21st century advancements
To speed space elevator development, proponents have organized several competitions, similar to the Ansari X Prize, for relevant technologies. Among them are Elevator:2010, which organized annual competitions for climbers, ribbons and power-beaming systems from 2005 to 2009, the Robogames Space Elevator Ribbon Climbing competition, as well as NASA's Centennial Challenges program, which, in March 2005, announced a partnership with the Spaceward Foundation (the operator of Elevator:2010), raising the total value of prizes to US$400,000. The first European Space Elevator Challenge (EuSEC) to establish a climber structure took place in August 2011.
In 2005, "the LiftPort Group of space elevator companies announced that it will be building a carbon nanotube manufacturing plant in Millville, New Jersey, to supply various glass, plastic and metal companies with these strong materials. Although LiftPort hopes to eventually use carbon nanotubes in the construction of a 100,000 km (62,000 mi) space elevator, this move will allow it to make money in the short term and conduct research and development into new production methods." Their announced goal was a space elevator launch in 2010. On 13 February 2006, the LiftPort Group announced that, earlier the same month, they had tested a mile of "space-elevator tether" made of carbon-fiber composite strings and fiberglass tape measuring 5 cm (2.0 in) wide and 1 mm (0.039 in) (approx. 13 sheets of paper) thick, lifted with balloons. In April 2019, Liftport CEO Michael Laine admitted little progress has been made on the company's lofty space elevator ambitions, even after receiving more than $200,000 in seed funding. The carbon nanotube manufacturing facility that Liftport announced in 2005 was never built.
In 2007, Elevator:2010 held the 2007 Space Elevator games, which featured US$500,000 awards for each of the two competitions ($1,000,000 total), as well as an additional $4,000,000 to be awarded over the next five years for space elevator related technologies. No teams won the competition, but a team from MIT entered the first 2-gram (0.07 oz), 100-percent carbon nanotube entry into the competition. Japan held an international conference in November 2008 to draw up a timetable for building the elevator.
In 2012, the Obayashi Corporation announced that it could build a space elevator by 2050 using carbon nanotube technology. The design's passenger climber would be able to reach the level of geosynchronous equatorial orbit (GEO) after an 8-day trip. Further details were published in 2016.
In 2013, the International Academy of Astronautics published a technological feasibility assessment which concluded that the critical capability improvement needed was the tether material, which was projected to achieve the necessary specific strength within 20 years. The four-year long study looked into many facets of space elevator development including missions, development schedules, financial investments, revenue flow, and benefits. It was reported that it would be possible to operationally survive smaller impacts and avoid larger impacts, with meteors and space debris, and that the estimated cost of lifting a kilogram of payload to GEO and beyond would be $500.
In 2014, Google X's Rapid Evaluation R&D team began the design of a Space Elevator, eventually finding that no one had yet manufactured a perfectly formed carbon nanotube strand longer than a meter. They thus put the project in "deep freeze" and also keep tabs on any advances in the carbon nanotube field.
In 2018, researchers at Japan's Shizuoka University launched STARS-Me, two CubeSats connected by a tether, which a mini-elevator will travel on. The experiment was launched as a test bed for a larger structure.
In 2019, the International Academy of Astronautics published "Road to the Space Elevator Era", a study report summarizing the assessment of the space elevator as of summer 2018. The essence is that a broad group of space professionals gathered and assessed the status of the space elevator development, each contributing their expertise and coming to similar conclusions: (a) Earth Space Elevators seem feasible, reinforcing the IAA 2013 study conclusion (b) Space Elevator development initiation is nearer than most think. This last conclusion is based on a potential process for manufacturing macro-scale single crystal graphene with higher specific strength than carbon nanotubes.
Materials
A significant difficulty with making a space elevator for the Earth is strength of materials. Since the structure must hold up its own weight in addition to the payload it may carry, the strength to weight ratio, or Specific strength, of the material it is made of must be extremely high.
Since 1959, most ideas for space elevators have focused on purely tensile structures, with the weight of the system held up from above by centrifugal forces. In the tensile concepts, a space tether reaches from a large mass (the counterweight) beyond geostationary orbit to the ground. This structure is held in tension between Earth and the counterweight like an upside-down plumb bob. The cable thickness is tapered based on tension; it has its maximum at a geostationary orbit and the minimum on the ground.
The concept is applicable to other planets and celestial bodies. For locations in the Solar System with weaker gravity than Earth's (such as the Moon or Mars), the strength-to-density requirements for tether materials are not as problematic. Currently available materials (such as Kevlar) are strong and light enough that they could be practical as the tether material for elevators there.
Available materials are not strong and light enough to make an Earth space elevator practical. Some sources expect that future advances in carbon nanotubes (CNTs) could lead to a practical design. Other sources believe that CNTs will never be strong enough. Possible future alternatives include boron nitride nanotubes, diamond nanothreads and macro-scale single crystal graphene.
In fiction
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In 1979, space elevators were introduced to a broader audience with the simultaneous publication of Arthur C. Clarke's novel, The Fountains of Paradise, in which engineers construct a space elevator on top of a mountain peak in the fictional island country of "Taprobane" (loosely based on Sri Lanka, albeit moved south to the Equator), and Charles Sheffield's first novel, The Web Between the Worlds, also featuring the building of a space elevator. Three years later, in Robert A. Heinlein's 1982 novel Friday, the principal character mentions a disaster at the “Quito Sky Hook” and makes use of the "Nairobi Beanstalk" in the course of her travels. In Kim Stanley Robinson's 1993 novel Red Mars, colonists build a space elevator on Mars that allows both for more colonists to arrive and also for natural resources mined there to be able to leave for Earth. Larry Niven's book Rainbow Mars describes a space elevator built on Mars. In David Gerrold's 2000 novel, Jumping Off The Planet, a family excursion up the Ecuador "beanstalk" is actually a child-custody kidnapping. Gerrold's book also examines some of the industrial applications of a mature elevator technology. The concept of a space elevator, called the Beanstalk, is also depicted in John Scalzi's 2005 novel Old Man's War. In a biological version, Joan Slonczewski's 2011 novel The Highest Frontier depicts a college student ascending a space elevator constructed of self-healing cables of anthrax bacilli. The engineered bacteria can regrow the cables when severed by space debris.
Physics
Apparent gravitational field
An Earth space elevator cable rotates along with the rotation of the Earth. Therefore, the cable, and objects attached to it, would experience upward centrifugal force in the direction opposing the downward gravitational force. The higher up the cable the object is located, the less the gravitational pull of the Earth, and the stronger the upward centrifugal force due to the rotation, so that more centrifugal force opposes less gravity. The centrifugal force and the gravity are balanced at geosynchronous equatorial orbit (GEO). Above GEO, the centrifugal force is stronger than gravity, causing objects attached to the cable there to pull upward on it. Because the counterweight, above GEO, is rotating about the Earth faster than the natural orbital speed for that altitude, it exerts a centrifugal pull on the cable and thus holds the whole system aloft.
The net force for objects attached to the cable is called the apparent gravitational field. The apparent gravitational field for attached objects is the (downward) gravity minus the (upward) centrifugal force. The apparent gravity experienced by an object on the cable is zero at GEO, downward below GEO, and upward above GEO.
The apparent gravitational field can be represented this way:
The downward force of actual gravity decreases with height: The upward centrifugal force due to the planet's rotation increases with height: Together, the apparent gravitational field is the sum of the two:where
g is the acceleration of apparent gravity, pointing down (negative) or up (positive) along the vertical cable (m s), gr is the gravitational acceleration due to Earth's pull, pointing down (negative)(m s), a is the centrifugal acceleration, pointing up (positive) along the vertical cable (m s), G is the gravitational constant (m s kg) M is the mass of the Earth (kg) r is the distance from that point to Earth's center (m), ω is Earth's rotation speed (radian/s).At some point up the cable, the two terms (downward gravity and upward centrifugal force) are equal and opposite. Objects fixed to the cable at that point put no weight on the cable. This altitude (r1) depends on the mass of the planet and its rotation rate. Setting actual gravity equal to centrifugal acceleration gives:
This is 35,786 km (22,236 mi) above Earth's surface, the altitude of geostationary orbit.
On the cable below geostationary orbit, downward gravity would be greater than the upward centrifugal force, so the apparent gravity would pull objects attached to the cable downward. Any object released from the cable below that level would initially accelerate downward along the cable. Then gradually it would deflect eastward from the cable. On the cable above the level of stationary orbit, upward centrifugal force would be greater than downward gravity, so the apparent gravity would pull objects attached to the cable upward. Any object released from the cable above the geosynchronous level would initially accelerate upward along the cable. Then gradually it would deflect westward from the cable.
Cable section
Historically, the main technical problem has been considered the ability of the cable to hold up, with tension, the weight of itself below any given point. The greatest tension on a space elevator cable is at the point of geostationary orbit, 35,786 km (22,236 mi) above the Earth's equator. This means that the cable material, combined with its design, must be strong enough to hold up its own weight from the surface up to 35,786 km (22,236 mi). A cable which is thicker in cross section area at that height than at the surface could better hold up its own weight over a longer length. How the cross section area tapers from the maximum at 35,786 km (22,236 mi) to the minimum at the surface is therefore an important design factor for a space elevator cable.
To maximize the usable excess strength for a given amount of cable material, the cable's cross section area would need to be designed for the most part in such a way that the stress (i.e., the tension per unit of cross sectional area) is constant along the length of the cable. The constant-stress criterion is a starting point in the design of the cable cross section area as it changes with altitude. Other factors considered in more detailed designs include thickening at altitudes where more space junk is present, consideration of the point stresses imposed by climbers, and the use of varied materials. To account for these and other factors, modern detailed designs seek to achieve the largest safety margin possible, with as little variation over altitude and time as possible. In simple starting-point designs, that equates to constant-stress.
For a constant-stress cable with no safety margin, the cross-section-area as a function of distance from Earth's center is given by the following equation:
Several taper profiles with different material parameterswhere
is the gravitational acceleration at Earth's surface (m·s), is the cross-section area of the cable at Earth's surface (m), is the density of the material used for the cable (kg·m), is the Earth's equatorial radius, is the radius of geosynchronous orbit, is the stress the cross-section area can bear without yielding (N·m), its elastic limit.Safety margin can be accounted for by dividing T by the desired safety factor.
Cable materials
Using the above formula, the ratio between the cross-section at geostationary orbit and the cross-section at Earth's surface, known as taper ratio, can be calculated:
Material | Tensile strength (MPa) |
Density (kg/m) |
Specific strength (MPa)/(kg/m) |
Taper ratio |
---|---|---|---|---|
Steel | 5,000 | 7,900 | 0.63 | 1.6×10 |
Kevlar | 3,600 | 1,440 | 2.5 | 2.5×10 |
UHMWPE @23°C | 3,600 | 0,980 | 3.7 | 5.4×10 |
Single wall carbon nanotube | 130,000 | 1,300 | 100 | 1.6 |
The taper ratio becomes very large unless the specific strength of the material used approaches 48 (MPa)/(kg/m). Low specific strength materials require very large taper ratios which equates to large (or astronomical) total mass of the cable with associated large or impossible costs.
Structure
There are a variety of space elevator designs proposed for many planetary bodies. Almost every design includes a base station, a cable, climbers, and a counterweight. For an Earth Space Elevator the Earth's rotation creates upward centrifugal force on the counterweight. The counterweight is held down by the cable while the cable is held up and taut by the counterweight. The base station anchors the whole system to the surface of the Earth. Climbers climb up and down the cable with cargo.
Base station
Modern concepts for the base station/anchor are typically mobile stations, large oceangoing vessels or other mobile platforms. Mobile base stations would have the advantage over the earlier stationary concepts (with land-based anchors) by being able to maneuver to avoid high winds, storms, and space debris. Oceanic anchor points are also typically in international waters, simplifying and reducing the cost of negotiating territory use for the base station.
Stationary land-based platforms would have simpler and less costly logistical access to the base. They also would have the advantage of being able to be at high altitudes, such as on top of mountains. In an alternate concept, the base station could be a tower, forming a space elevator which comprises both a compression tower close to the surface, and a tether structure at higher altitudes. Combining a compression structure with a tension structure would reduce loads from the atmosphere at the Earth end of the tether, and reduce the distance into the Earth's gravity field that the cable needs to extend, and thus reduce the critical strength-to-density requirements for the cable material, all other design factors being equal.
Cable
A space elevator cable would need to carry its own weight as well as the additional weight of climbers. The required strength of the cable would vary along its length. This is because at various points it would have to carry the weight of the cable below, or provide a downward force to retain the cable and counterweight above. Maximum tension on a space elevator cable would be at geosynchronous altitude so the cable would have to be thickest there and taper as it approaches Earth. Any potential cable design may be characterized by the taper factor – the ratio between the cable's radius at geosynchronous altitude and at the Earth's surface.
The cable would need to be made of a material with a high tensile strength/density ratio. For example, the Edwards space elevator design assumes a cable material with a tensile strength of at least 100 gigapascals. Since Edwards consistently assumed the density of his carbon nanotube cable to be 1300 kg/m, that implies a specific strength of 77 megapascal/(kg/m). This value takes into consideration the entire weight of the space elevator. An untapered space elevator cable would need a material capable of sustaining a length of 4,960 kilometers (3,080 mi) of its own weight at sea level to reach a geostationary altitude of 35,786 km (22,236 mi) without yielding. Therefore, a material with very high strength and lightness is needed.
For comparison, metals like titanium, steel or aluminium alloys have breaking lengths of only 20–30 km (0.2–0.3 MPa/(kg/m)). Modern fiber materials such as kevlar, fiberglass and carbon/graphite fiber have breaking lengths of 100–400 km (1.0–4.0 MPa/(kg/m)). Nanoengineered materials such as carbon nanotubes and, more recently discovered, graphene ribbons (perfect two-dimensional sheets of carbon) are expected to have breaking lengths of 5000–6000 km (50–60 MPa/(kg/m)), and also are able to conduct electrical power.
For a space elevator on Earth, with its comparatively high gravity, the cable material would need to be stronger and lighter than currently available materials. For this reason, there has been a focus on the development of new materials that meet the demanding specific strength requirement. For high specific strength, carbon has advantages because it is only the sixth element in the periodic table. Carbon has comparatively few of the protons and neutrons which contribute most of the dead weight of any material. Most of the interatomic bonding forces of any element are contributed by only the outer few electrons. For carbon, the strength and stability of those bonds is high compared to the mass of the atom. The challenge in using carbon nanotubes remains to extend to macroscopic sizes the production of such material that are still perfect on the microscopic scale (as microscopic defects are most responsible for material weakness). As of 2014, carbon nanotube technology allowed growing tubes up to a few tenths of meters.
In 2014, diamond nanothreads were first synthesized. Since they have strength properties similar to carbon nanotubes, diamond nanothreads were quickly seen as candidate cable material as well.
Climbers
A space elevator cannot be an elevator in the typical sense (with moving cables) due to the need for the cable to be significantly wider at the center than at the tips. While various designs employing moving cables have been proposed, most cable designs call for the "elevator" to climb up a stationary cable.
Climbers cover a wide range of designs. On elevator designs whose cables are planar ribbons, most propose to use pairs of rollers to hold the cable with friction.
Climbers would need to be paced at optimal timings so as to minimize cable stress and oscillations and to maximize throughput. Lighter climbers could be sent up more often, with several going up at the same time. This would increase throughput somewhat, but would lower the mass of each individual payload.
The horizontal speed, i.e. due to orbital rotation, of each part of the cable increases with altitude, proportional to distance from the center of the Earth, reaching low orbital speed at a point approximately 66 percent of the height between the surface and geostationary orbit, or a height of about 23,400 km. A payload released at this point would go into a highly eccentric elliptical orbit, staying just barely clear from atmospheric reentry, with the periapsis at the same altitude as low earth orbit (LEO) and the apoapsis at the release height. With increasing release height the orbit would become less eccentric as both periapsis and apoapsis increase, becoming circular at geostationary level.
When the payload has reached GEO, the horizontal speed is exactly the speed of a circular orbit at that level, so that if released, it would remain adjacent to that point on the cable. The payload can also continue climbing further up the cable beyond GEO, allowing it to obtain higher speed at jettison. If released from 100,000 km, the payload would have enough speed to reach the asteroid belt.
As a payload is lifted up a space elevator, it would gain not only altitude, but horizontal speed (angular momentum) as well. The angular momentum is taken from the Earth's rotation. As the climber ascends, it is initially moving slower than each successive part of cable it is moving on to. This is the Coriolis force: the climber "drags" (westward) on the cable, as it climbs, and slightly decreases the Earth's rotation speed. The opposite process would occur for descending payloads: the cable is tilted eastward, thus slightly increasing Earth's rotation speed.
The overall effect of the centrifugal force acting on the cable would cause it to constantly try to return to the energetically favorable vertical orientation, so after an object has been lifted on the cable, the counterweight would swing back toward the vertical, a bit like a pendulum. Space elevators and their loads would be designed so that the center of mass is always well-enough above the level of geostationary orbit to hold up the whole system. Lift and descent operations would need to be carefully planned so as to keep the pendulum-like motion of the counterweight around the tether point under control.
Climber speed would be limited by the Coriolis force, available power, and by the need to ensure the climber's accelerating force does not break the cable. Climbers would also need to maintain a minimum average speed in order to move material up and down economically and expeditiously. At the speed of a very fast car or train of 300 km/h (190 mph) it will take about 5 days to climb to geosynchronous orbit.
Powering climbers
Both power and energy are significant issues for climbers – the climbers would need to gain a large amount of potential energy as quickly as possible to clear the cable for the next payload.
Various methods have been proposed to provide energy to the climber:
- Transfer the energy to the climber through wireless energy transfer while it is climbing.
- Transfer the energy to the climber through some material structure while it is climbing.
- Store the energy in the climber before it starts – requires an extremely high specific energy such as nuclear energy.
- Solar power – After the first 40 km it is possible to use solar energy to power the climber
Wireless energy transfer such as laser power beaming is currently considered the most likely method, using megawatt-powered free electron or solid state lasers in combination with adaptive mirrors approximately 10 m (33 ft) wide and a photovoltaic array on the climber tuned to the laser frequency for efficiency. For climber designs powered by power beaming, this efficiency is an important design goal. Unused energy would need to be re-radiated away with heat-dissipation systems, which add to weight.
Yoshio Aoki, a professor of precision machinery engineering at Nihon University and director of the Japan Space Elevator Association, suggested including a second cable and using the conductivity of carbon nanotubes to provide power.
Counterweight
Several solutions have been proposed to act as a counterweight:
- a heavy, captured asteroid
- a space dock, space station or spaceport positioned past geostationary orbit
- a further upward extension of the cable itself so that the net upward pull would be the same as an equivalent counterweight
- parked spent climbers that had been used to thicken the cable during construction, other junk, and material lifted up the cable for the purpose of increasing the counterweight.
Extending the cable has the advantage of some simplicity of the task and the fact that a payload that went to the end of the counterweight-cable would acquire considerable velocity relative to the Earth, allowing it to be launched into interplanetary space. Its disadvantage is the need to produce greater amounts of cable material as opposed to using just anything available that has mass.
Applications
Launching into deep space
An object attached to a space elevator at a radius of approximately 53,100 km would be at escape velocity when released. Transfer orbits to the L1 and L2 Lagrangian points could be attained by release at 50,630 and 51,240 km, respectively, and transfer to lunar orbit from 50,960 km.
At the end of Pearson's 144,000 km (89,000 mi) cable, the tangential velocity is 10.93 kilometers per second (6.79 mi/s). That is more than enough to escape Earth's gravitational field and send probes at least as far out as Jupiter. Once at Jupiter, a gravitational assist maneuver could permit solar escape velocity to be reached.
Extraterrestrial elevators
A space elevator could also be constructed on other planets, asteroids and moons.
A Martian tether could be much shorter than one on Earth. Mars' surface gravity is 38 percent of Earth's, while it rotates around its axis in about the same time as Earth. Because of this, Martian stationary orbit is much closer to the surface, and hence the elevator could be much shorter. Current materials are already sufficiently strong to construct such an elevator. Building a Martian elevator would be complicated by the Martian moon Phobos, which is in a low orbit and intersects the Equator regularly (twice every orbital period of 11 h 6 min). Phobos and Deimos may get in the way of an areostationary space elevator; on the other hand, they may contribute useful resources to the project. Phobos is projected to contain high amounts of carbon. If carbon nanotubes become feasible for a tether material, there will be an abundance of carbon near Mars. This could provide readily available resources for future colonization on Mars.
Phobos is tide-locked: one side always faces its primary, Mars. An elevator extending 6,000 km from that inward side would end about 28 kilometers above the Martian surface, just out of the denser parts of the atmosphere of Mars. A similar cable extending 6,000 km in the opposite direction would counterbalance the first, so the center of mass of this system remains in Phobos. In total the space elevator would extend out over 12,000 km which would be below areostationary orbit of Mars (17,032 km). A rocket launch would still be needed to get the rocket and cargo to the beginning of the space elevator 28 km above the surface. The surface of Mars is rotating at 0.25 km/s at the equator and the bottom of the space elevator would be rotating around Mars at 0.77 km/s, so only 0.52 km/s (1872 km/h) of Delta-v would be needed to get to the space elevator. Phobos orbits at 2.15 km/s and the outermost part of the space elevator would rotate around Mars at 3.52 km/s.
The Earth's Moon is a potential location for a Lunar space elevator, especially as the specific strength required for the tether is low enough to use currently available materials. The Moon does not rotate fast enough for an elevator to be supported by centrifugal force (the proximity of the Earth means there is no effective lunar-stationary orbit), but differential gravity forces means that an elevator could be constructed through Lagrangian points. A near-side elevator would extend through the Earth-Moon L1 point from an anchor point near the center of the visible part of Earth's Moon: the length of such an elevator must exceed the maximum L1 altitude of 59,548 km, and would be considerably longer to reduce the mass of the required apex counterweight. A far-side lunar elevator would pass through the L2 Lagrangian point and would need to be longer than on the near-side; again, the tether length depends on the chosen apex anchor mass, but it could also be made of existing engineering materials.
Rapidly spinning asteroids or moons could use cables to eject materials to convenient points, such as Earth orbits; or conversely, to eject materials to send a portion of the mass of the asteroid or moon to Earth orbit or a Lagrangian point. Freeman Dyson, a physicist and mathematician, suggested using such smaller systems as power generators at points distant from the Sun where solar power is uneconomical.
A space elevator using presently available engineering materials could be constructed between mutually tidally locked worlds, such as Pluto and Charon or the components of binary asteroid 90 Antiope, with no terminus disconnect, according to Francis Graham of Kent State University. However, spooled variable lengths of cable must be used due to ellipticity of the orbits.
Construction
Main article: Space elevator constructionThe construction of a space elevator would need reduction of some technical risk. Some advances in engineering, manufacturing and physical technology are required. Once a first space elevator is built, the second one and all others would have the use of the previous ones to assist in construction, making their costs considerably lower. Such follow-on space elevators would also benefit from the great reduction in technical risk achieved by the construction of the first space elevator.
Prior to the work of Edwards in 2000, most concepts for constructing a space elevator had the cable manufactured in space. That was thought to be necessary for such a large and long object and for such a large counterweight. Manufacturing the cable in space would be done in principle by using an asteroid or Near-Earth object for source material. These earlier concepts for construction require a large preexisting space-faring infrastructure to maneuver an asteroid into its needed orbit around Earth. They also required the development of technologies for manufacture in space of large quantities of exacting materials.
Since 2001, most work has focused on simpler methods of construction requiring much smaller space infrastructures. They conceive the launch of a long cable on a large spool, followed by deployment of it in space. The spool would be initially parked in a geostationary orbit above the planned anchor point. A long cable would be dropped "downward" (toward Earth) and would be balanced by a mass being dropped "upward" (away from Earth) for the whole system to remain on the geosynchronous orbit. Earlier designs imagined the balancing mass to be another cable (with counterweight) extending upward, with the main spool remaining at the original geosynchronous orbit level. Most current designs elevate the spool itself as the main cable is payed out, a simpler process. When the lower end of the cable is long enough to reach the surface of the Earth (at the equator), it would be anchored. Once anchored, the center of mass would be elevated more (by adding mass at the upper end or by paying out more cable). This would add more tension to the whole cable, which could then be used as an elevator cable.
One plan for construction uses conventional rockets to place a "minimum size" initial seed cable of only 19,800 kg. This first very small ribbon would be adequate to support the first 619 kg climber. The first 207 climbers would carry up and attach more cable to the original, increasing its cross section area and widening the initial ribbon to about 160 mm wide at its widest point. The result would be a 750-ton cable with a lift capacity of 20 tons per climber.
Safety issues and construction challenges
Main article: Space elevator safetyFor early systems, transit times from the surface to the level of geosynchronous orbit would be about five days. On these early systems, the time spent moving through the Van Allen radiation belts would be enough that passengers would need to be protected from radiation by shielding, which would add mass to the climber and decrease payload.
A space elevator would present a navigational hazard, both to aircraft and spacecraft. Aircraft could be diverted by air-traffic control restrictions. All objects in stable orbits that have perigee below the maximum altitude of the cable that are not synchronous with the cable would impact the cable eventually, unless avoiding action is taken. One potential solution proposed by Edwards is to use a movable anchor (a sea anchor) to allow the tether to "dodge" any space debris large enough to track.
Impacts by space objects such as meteoroids, micrometeorites and orbiting man-made debris pose another design constraint on the cable. A cable would need to be designed to maneuver out of the way of debris, or absorb impacts of small debris without breaking.
Economics
Main article: Space elevator economicsWith a space elevator, materials might be sent into orbit at a fraction of the current cost. As of 2022, conventional rocket designs cost about US$12,125 per kilogram (US$5,500 per pound) for transfer to geostationary orbit. Current space elevator proposals envision payload prices starting as low as $220 per kilogram ($100 per pound), similar to the $5–$300/kg estimates of the Launch loop, but higher than the $310/ton to 500 km orbit quoted to Dr. Jerry Pournelle for an orbital airship system.
Philip Ragan, co-author of the book Leaving the Planet by Space Elevator, states that "The first country to deploy a space elevator will have a 95 percent cost advantage and could potentially control all space activities."
International Space Elevator Consortium (ISEC)
The International Space Elevator Consortium (ISEC) is a US Non-Profit 501(c)(3) Corporation formed to promote the development, construction, and operation of a space elevator as "a revolutionary and efficient way to space for all humanity". It was formed after the Space Elevator Conference in Redmond, Washington in July 2008 and became an affiliate organization with the National Space Society in August 2013. ISEC hosts an annual Space Elevator conference at the Seattle Museum of Flight.
ISEC coordinates with the two other major societies focusing on space elevators: the Japanese Space Elevator Association and EuroSpaceward. ISEC supports symposia and presentations at the International Academy of Astronautics and the International Astronautical Federation Congress each year.
Related concepts
The conventional current concept of a "Space Elevator" has evolved from a static compressive structure reaching to the level of GEO, to the modern baseline idea of a static tensile structure anchored to the ground and extending to well above the level of GEO. In the current usage by practitioners (and in this article), a "Space Elevator" means the Tsiolkovsky-Artsutanov-Pearson type as considered by the International Space Elevator Consortium. This conventional type is a static structure fixed to the ground and extending into space high enough that cargo can climb the structure up from the ground to a level where simple release will put the cargo into an orbit.
Some concepts related to this modern baseline are not usually termed a "Space Elevator", but are similar in some way and are sometimes termed "Space Elevator" by their proponents. For example, Hans Moravec published an article in 1977 called "A Non-Synchronous Orbital Skyhook" describing a concept using a rotating cable. The rotation speed would exactly match the orbital speed in such a way that the tip velocity at the lowest point was zero compared to the object to be "elevated". It would dynamically grapple and then "elevate" high flying objects to orbit or low orbiting objects to higher orbit.
The original concept envisioned by Tsiolkovsky was a compression structure, a concept similar to an aerial mast. While such structures might reach space (100 km, 62 mi), they are unlikely to reach geostationary orbit. The concept of a Tsiolkovsky tower combined with a classic space elevator cable (reaching above the level of GEO) has been suggested. Other ideas use very tall compressive towers to reduce the demands on launch vehicles. The vehicle is "elevated" up the tower, which may extend as high as above the atmosphere, and is launched from the top. Such a tall tower to access near-space altitudes of 20 km (12 mi) has been proposed by various researchers.
The aerovator is a concept invented by a Yahoo Group discussing space elevators, and included in a 2009 book about space elevators. It would consist of a >1000 km long ribbon extending diagonally upwards from a ground-level hub and then levelling out to become horizontal. Aircraft would pull on the ribbon while flying in a circle, causing the ribbon to rotate around the hub once every 13 minutes with its tip travelling at 8 km/s. The ribbon would stay in the air through a mix of aerodynamic lift and centrifugal force. Payloads would climb up the ribbon and then be launched from the fast-moving tip into orbit.
Other concepts for non-rocket spacelaunch related to a space elevator (or parts of a space elevator) include an orbital ring, a space fountain, a launch loop, a skyhook, a space tether, and a buoyant "SpaceShaft".
Notes
- Specific substitutions used to produce the factor 4.85×10:
See also
References
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{{cite report}}
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'This is extremely complicated. I don't think it's really realistic to have a space elevator,' said Elon Musk during a conference at MIT, adding that it would be easier to 'have a bridge from LA to Tokyo' than an elevator that could take material into space.
- Donahue, Michelle Z. (21 January 2016). "People Are Still Trying to Build a Space Elevator". Smithsonian Magazine. Retrieved 4 January 2020.
'We understand it's a difficult project,' Yoji Ishikawa says. 'Our technology is very low. If we need to be at 100 to get an elevator built – right now we are around a 1 or 2. But we cannot say this project is not possible.'
- "Why the world still awaits its first space elevator". The Economist. 30 January 2018. Retrieved 4 January 2020.
The chief obstacle is that no known material has the necessary combination of lightness and strength needed for the cable, which has to be able to support its own weight. Carbon nanotubes are often touted as a possibility, but they have only about a tenth of the necessary strength-to-weight ratio and cannot be made into filaments more than a few centimetres long, let alone thousands of kilometres. Diamond nanothreads, another exotic form of carbon, might be stronger, but their properties are still poorly understood.
- Aron, Jacob (13 June 2016). "Carbon nanotubes too weak to get a space elevator off the ground". New Scientist. Retrieved 3 January 2020.
Feng Ding of the Hong Kong Polytechnic University and his colleagues simulated CNTs with a single atom out of place, turning two of the hexagons into a pentagon and heptagon, and creating a kink in the tube. They found this simple change was enough to cut the ideal strength of a CNT to 40 GPa, with the effect being even more severe when they increased the number of misaligned atoms... That's bad news for people who want to build a space elevator, a cable between the Earth and an orbiting satellite that would provide easy access to space. Estimates suggest such a cable would need a tensile strength of 50 GPa, so CNTs were a promising solution, but Ding's research suggests they won't work.
- Christensen, Billn (2 June 2006). "Nanotubes Might Not Have the Right Stuff". Space.com. Retrieved 3 January 2020.
recent calculations by Nicola Pugno of the Polytechnic of Turin, Italy, suggest that carbon nanotube cables will not work... According to their calculations, the cable would need to be twice as strong as that of any existing material including graphite, quartz, and diamond.
- Whittaker, Clay (15 June 2016). "Carbon Nanotubes Can't Handle a Space Elevator". Popular Science. Retrieved 3 January 2020.
Alright, space elevator plans are back to square one, people. Carbon nanotubes probably aren't going to be our material solution for a space elevator, because apparently even a minuscule (read: atomic) flaw in the design drastically decreases strength.
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During the last ten years, the assumption was that the only power available would come from the surface of the Earth, as it was inexpensive and technologically feasible. However, during the last ten years of discussions, conference papers, IAA Cosmic Studies, and interest around the globe, many discussions have led some individuals to the following conclusions: • Solar Array technology is improving rapidly and will enable sufficient energy for climbing • Tremendous advances are occurring in lightweight deployable structures.
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Further reading
- A conference publication based on findings from the Advanced Space Infrastructure Workshop on Geostationary Orbiting Tether "Space Elevator" Concepts Archived 28 March 2015 at the Wayback Machine (PDF), held in 1999 at the NASA Marshall Space Flight Center, Huntsville, Alabama. Compiled by D.V. Smitherman Jr., published August 2000
- "The Political Economy of Very Large Space Projects" HTML PDF, John Hickman, Ph.D. Journal of Evolution and Technology Vol. 4 – November 1999
- A Hoist to the Heavens By Bradley Carl Edwards
- Ziemelis K. (2001) "Going up". In New Scientist 2289: 24–27. Republished in SpaceRef Archived 12 January 2022 at the Wayback Machine. Title page: "The great space elevator: the dream machine that will turn us all into astronauts."
- The Space Elevator Comes Closer to Reality. An overview by Leonard David of space.com, published 27 March 2002
- Krishnaswamy, Sridhar. Stress Analysis – The Orbital Tower (PDF)
- LiftPort's Roadmap for Elevator To Space SE Roadmap (PDF)
- Shiga, David (28 March 2008). "Space elevators face wobble problem". New Scientist.
- Alexander Bolonkin, "Non Rocket Space Launch and Flight". Elsevier, 2005. 488 pgsISBN 978-0-08044-731-5.
External links
Listen to this article (54 minutes) This audio file was created from a revision of this article dated 29 May 2006 (2006-05-29), and does not reflect subsequent edits.(Audio help · More spoken articles)- The Economist: Waiting For The Space Elevator (8 June 2006 – subscription required)
- CBC Radio Quirks and Quarks November 3, 2001 Riding the Space Elevator
- Times of London Online: Going up ... and the next floor is outer space
- The Space Elevator: 'Thought Experiment', or Key to the Universe? Archived 1 February 2020 at the Wayback Machine. By Sir Arthur C. Clarke. Address to the XXXth International Astronautical Congress, Munich, 20 September 1979
- International Space Elevator Consortium Website
- Space Elevator entry at The Encyclopedia of Science Fiction
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