# Eccentricity

Table of contents |

2 Astronomy 3 Mechanics 4 Popular usage |

## Mathematics

In mathematics,**eccentricity**is a parameter associated with every conic section, see Conic section#Eccentricity. It can be thought of as a measure of how much the conic section deviates from being circular. In particular:

- The eccentricity of a circle is zero.
- The eccentricity of an ellipse is greater than zero and less than 1
- The eccentricity of a parabola is 1.
- The eccentricity of a hyperbola is greater than 1.
- The eccentricity of a straight line is infinity.

For any ellipse, where the length of the semi-major axis is *a*, and where the same of the semi-minor axis is *b*:

*a*, and where the same of the semi-minor axis is

*b*:

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## Astronomy

In astronomy, the eccentricity of an orbit can be calculated using the formulas above if the shape of the orbit is known.For example, the eccentricity of the Earth's orbit today is 0.0167. Through time, the eccentricity of the Earth's orbit slowly changes from nearly 0 to almost 0.05 as a result of gravitational attractions between the planets (see graph [1]).

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

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## Mechanics

In mechanical engineering, an eccentric is a wheel that rotates on an axle that is displaced from the focus of the circle described by the wheel; in other words, a mechanical motion that can operate either as a cam or a crank, depending upon how it is driven.## Popular usage

In popular usage,**eccentricity**refers to unusual or odd behavior on the part of a person, as opposed to being normal. Eccentric behavior is often considered whimsical or quirky, although it can also be strange and disturbing. American millionaire Howard Hughes, for example, was considered to be very eccentric in his old age, when he stored his urine in glass jars and never cut his hair or nails. Other people may have eccentric taste in clothes, or have eccentric hobbies 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 genius. However, many eccentrics are crankss, rather than geniuses.

John Stuart Mill says in his philosophical work *On Liberty* that the existence of eccentricity within a society is not only *possible*, it is *essential*. This bohemian personage, similar to that described by Rousseau, 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 categorical imperative of Kant, it is a crime against oneself.

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

For extravagant text, see also hyperbole.

See also List of notable eccentrics.