* have the eccentricity < math > e < 0. 240 </ math > ( to exclude detached objects )

The eccentricity of an ellipse, usually denoted by ε or e, is the ratio of the distance between the two foci, to the length of the major axis or e = 2f / 2a = f / a.

For an ellipse the eccentricity is between 0 and 1 ( 0 < e < 1 ).

The distance a < nowiki ></ nowiki > e from a focal point to the centre is called the linear eccentricity of the ellipse ( f = a < nowiki ></ nowiki > e ).

The eccentricity of the ellipse ( commonly denoted as either e or ) is

where again e is the eccentricity and where the function is the complete elliptic integral of the second kind.

where a is the semi-major axis, and e is the eccentricity.

The expressions below give the auxiliary latitudes in terms of the geodetic latitude, the semi-major axis, a, and the eccentricity, e. The forms given are, apart from notational variants, those in the standard reference for map projections, namely " Map projections — a working manual " by J. P. Snyder.

* involve one or any combination of the orbit parameters ( e. g. eccentricity versus semimajor axis, or eccentricity versus orbital inclination ).

If parameter e is smaller than one, e is the eccentricity and a the semi-major axis of an ellipse.

A prograde or retrograde impulse ( i. e. an impulse applied along the orbital motion ) changes both the eccentricity and the orbital period.

The work met with approval, and was followed in the same year by Le pazzie di Stelladaura e di Zoroastro, a farce full of humour and eccentricity.

The eccentricity, e, and either the semi-major axis, a, or the distance of periapsis, q, are used to specify the shape and size of an orbit.

While Sitchin's scenario for the creation of the Solar System is hard to reconcile with the Earth's current small orbital eccentricity of only 0. 0167, Sitchin's supporters maintain that it would explain much of Earth's peculiar early geography due to cleaving from the celestial collision, i. e., solid continents on one side and a giant ocean on the other.

To go to another planet using the simple low-energy Hohmann transfer orbit, if eccentricity of orbits is not a factor, launch windows are periodic according to the synodic period ; for example, in the case of Mars the period is 2. 135 years, i. e. 780 days.

The parameter θ is known as the true anomaly, p is the semi-latus rectum, while e is the orbital eccentricity, all obtainable from the various forms of the six independent orbital elements.

Four of the elements are independent of any particular coordinate system: M is mean anomaly ( deg ), n: mean daily motion ( deg / d ), a: size of semi-major axis ( AU ), e: eccentricity ( dimensionless ).

The calculation assumed conditions appropriate for 2000 A. D .: a solar constant of S < sub > 0 </ sub > = 1367 W m < sup >− 2 </ sup >, obliquity of ε = 23. 4398 °, longitude of perihelion of ϖ = 282. 895 °, eccentricity e = 0. 016704.

The green curve is with eccentricity e hypothetically set to 0.

This detail is possibly a nostalgic reference, reminiscent of a Victorian English eccentricity in which gentlemen were frequently, and stereotypically depicted ( e. g. Punch cartoons of the period 1875 – 90 ) wearing a loose-fitting robe smoking jacket and braided fez-like smoking cap when relaxing informally at home.

This scaled vector e has the same direction as A and its magnitude equals the eccentricity of the orbit.

The ratio of these two distances is the eccentricity of the ellipse.

Such appreciably nonzero values of inclination and eccentricity, though still small, are unusual for an inner satellite and can be explained by the influence of the innermost Galilean satellite, Io: in the past Amalthea has passed through several mean motion resonances with Io that have excited its inclination and eccentricity ( in a mean motion resonance the ratio of orbital periods of two bodies is a rational number like m: n ).

A column under a concentric axial load exhibiting the characteristic deformation of buckling The eccentricity of the axial force results in a bending moment acting on the beam element. The ratio of the effective length of a column to the least radius of gyration of its cross section is called the slenderness ratio ( sometimes expressed with the Greek letter lambda, λ ).

That ratio is called eccentricity, commonly denoted as " e ."

The eccentricity can be defined as the ratio of the linear eccentricity to the semimajor axis a: that is,.

Orbital eccentricity | Eccentricity is indicated by yellow bars illustrating the object's maximum and minimum distances from Jupiter.

Orbital eccentricity | Eccentricity is indicated by yellow bars illustrating the object's maximum and minimum distances from Jupiter.

Orbital eccentricity | Eccentricity is indicated by yellow bars illustrating the object's maximum and minimum distances from Jupiter.

Orbital eccentricity | Eccentricity is indicated by yellow bars illustrating the object's maximum and minimum distances from Jupiter.

The eccentricity ( orbit ) | eccentricities of the orbits are represented by segments ( extending from perihelion to aphelion ) with the inclination s represented on the vertical axis.

To draw the orbit with a pair of compasses the centre of the circle should be offset from the focus by an amount equal to the eccentricity multiplied by the radius.

The ellipse can also be defined as the set of points such that the distance from any point in that set to a given point in the plane ( a focus ) is a constant positive fraction less than 1 ( the eccentricity ) of the perpendicular distance of the point in the set to a given line ( called the directrix ).

* Horizontal eccentricity, in vision, degrees of visual angle from the center of the eye

* Orbital eccentricity, in astrodynamics, calculated from orbital state vectors as an absolute value of eccentricity vector or using other methods based on orbital energy and angular momentum

For comparison, the other two general conic sections, the ellipse and the parabola, derive from the corresponding Greek words for " deficient " and " comparable "; these terms may refer to the eccentricity of these curves, which is greater than one ( hyperbola ), less than one ( ellipse ) and exactly one ( parabola ), respectively.

These destructive acts, though often fuelled by drugs and alcohol, were Moon's way of expressing his eccentricity, as well as the joy he got from shocking the public.

How stretched out an ellipse is from a perfect circle is known as its eccentricity: a parameter that can take any value greater than or equal to 0 ( a circle ) and less than 1 ( as the eccentricity tends to 1, the ellipse tends to a parabola ).

For example, asteroids of the Alinda family are in or close to the 3: 1 resonance, with their orbital eccentricity steadily increased by interactions with Jupiter until they eventually have a close encounter with an inner planet that ejects them from the resonance.

Asteroids which approach it have their eccentricity slowly increased until they become Mars-crossers, at which point they are usually ejected from the asteroid belt by a close pass to Mars.

Numerical simulations have suggested that the eventual formation of a perihelion secular resonance between Mercury and Jupiter ( g < sub > 1 </ sub >= g < sub > 5 </ sub >) has the potential to greatly increase Mercury's eccentricity and possibly destabilize the inner Solar System several billion years from now.

Orbital eccentricity is represented by segments extending horizontally from perihelion to aphelion ; inclination is shown on the vertical axis.

Clouseau's immense ego, eccentricity, embellished French accent and mustache were derived from Hercule Poirot, the famous fictional Belgian detective that featured in the novels of Agatha Christie.

Le Petit Cénacle soon gained a reputation for extravagance and eccentricity, but also for being a unique refuge from society.

The eccentricity of Pan's orbit causes its distance from Saturn to vary by ~ 4 km.

In 2002, Muller speculated that Nemesis was perturbed 400 million years ago by a passing star from a circular orbit into an orbit with an eccentricity of 0. 7.

Over time, he gained a reputation for eccentricity, becoming known for his efforts to rehabilitate offenders and in particular campaigning for the parole and release from prison of the Moors murderer Myra Hindley.

The space velocity components of Epsilon Eridani in the Galactic coordinate system are =, which means that it is traveling within the Milky Way at a mean galactocentric distance of 28. 7 kly ( 8. 79 kiloparsecs ) from the core along an orbit that has an eccentricity of 0. 09.

Estimates of the maximum radius of its elliptical orbit — the semimajor axis — range from 3. 38 AU to 3. 50 AU and approximations of its orbital eccentricity range from to.