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{{wiktionary|eccentric|eccentricity}}
] ] ] ] ]]


'''Eccentricity''' or '''eccentric''' may refer to:
⚫ ==Mathematics==


* ], odd behavior on the part of a person, as opposed to being "normal"
In ], '''eccentricity''' is a parameter associated with every ], see ]. It can be thought of as a measure of how much the conic section deviates from being circular. In particular:
{{toc_right}}
* The eccentricity of a ] is zero.
* The eccentricity of an ] is greater than zero and less than 1
* The eccentricity of a ] is 1.
* The eccentricity of a ] is greater than 1.
* The eccentricity of a ] is ].


==Mathematics, science and technology==
]
⚫ ===Mathematics===
* Off-], in geometry
* ] of a vertex in a graph
* ], a parameter associated with every conic section


===Orbital mechanics===
For any ellipse, where the length of the ] is ''a'', and where the same of the ] is ''b'':
* ], in astrodynamics, a measure of the non-circularity of an orbit
* ], the angle between the direction of periapsis and the current position of an object on its orbit
* ], in celestial mechanics, a dimensionless vector with direction pointing from apoapsis to periapsis
* Eccentric, a type of ], a circle or sphere used in obsolete epicyclical systems to carry a planet around the Earth or Sun


===Other uses in science and technology===
:<math>\mbox{eccentricity of ellipse: } \epsilon = \sqrt{1-\frac{b^2}{a^2}}</math>
* ], a wheel that rotates on an axle that is displaced from the focus of the circle described by the wheel
* ], in vision, degrees of visual angle from the center of the eye
* ], the lengthening of muscle fibers
* Eccentric position of a ] tripod, to be able to measure hidden points
* ], the motion of an active muscle while it is lengthening under load
* Eccentricity, a deviation from ]


==Other uses==
The dimensionless numerical eccentricity (called simply eccentricity hereafter) is shown using the greek letter epsilon <math>\boldsymbol{\epsilon}</math> to avoid confusion with the symbol <math>\boldsymbol{e}</math> , which will represent the linear eccentricity:
* ], a London gentlemen's club
* '']''
* '']''


== See also ==
:<math>\mbox{linear eccentricity of ellipse: } {e} = \epsilon {a}</math>
* {{lookfrom|eccentric}}
* {{intitle|eccentric*}}
* ]


{{disambiguation}}
Which is equivalent to stating that the eccentricity is the ratio of the distance between the foci (F1 and F2) to the major axis, a:
]

:<math>\mbox{eccentricity of ellipse: } \epsilon = \frac{2e}{2a}</math>

For any hyperbola, where the length of the ] is ''a'', and where the same of the ] is ''b'':

:<math>\mbox{eccentricity of hyperbola: } \epsilon = \sqrt{1+\frac{b^2}{a^2}}</math>

===External Links===

Mathworld:

==Astronomy==

In ], the eccentricity of an ] can be calculated using the formulas above if the shape of the orbit is known.

For example, the eccentricity of the ]'s orbit is 0.0167.

Orbital eccentricity can also be calculated using other methods based on orbital energy and angular momentum.

===External Links===

World of Physics:

==Popular usage==

In popular usage, '''eccentricity''' refers to unusual or odd ] on the part of a person, as opposed to being ]. Eccentric behavior is often considered whimsical or quirky, although it can also be strange and disturbing. American millionaire ], for example was considered to be very eccentric, and stored his ] in glass jars and never cut his hair or nails. Other people may have eccentric taste in ], or have eccentric ] or collections.

Many of history's most brilliant minds have displayed many unusual behaviors and habits, and eccentricity is sometimes thought to be a sign of ]. However, many eccentrics are ]s, rather than geniuses.

] says in his philosophical work "''On Liberty''", that the existence of eccentricity within a society is not only ''possible'', it is ''essential''. This ] personage, similar to that described by ], is in fact a great benefit to their society. A society without this is a stagnant society. Is it preferable to remain stagnant, ignorant but happy? According to the ] of ], it <!--? WHAT? -->is a crime against oneself.

'''Extravagance''' is a kind of eccentricity, related to abundance and wastefulness.

For extravagant text, see also ].

]

Latest revision as of 01:13, 29 June 2021

Eccentricity or eccentric may refer to:

Mathematics, science and technology

Mathematics

Orbital mechanics

  • Orbital eccentricity, in astrodynamics, a measure of the non-circularity of an orbit
  • Eccentric anomaly, the angle between the direction of periapsis and the current position of an object on its orbit
  • Eccentricity vector, in celestial mechanics, a dimensionless vector with direction pointing from apoapsis to periapsis
  • Eccentric, a type of deferent, a circle or sphere used in obsolete epicyclical systems to carry a planet around the Earth or Sun

Other uses in science and technology

Other uses

See also

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