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Eccentricity

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A measure of how elongated an orbit is.

Key relatione = c/a

e = c/a measures how stretched an ellipse is: 0 for a circle, near 1 for long thin ellipses; e = 1 is a parabola (escape), >1 hyperbola.

Worked example

Halley's comet e = 0.97.

Common mistake

e ≥ 1 means unbound.

In more detail

Eccentricity measures how much an ellipse deviates from a circle. A circle has eccentricity zero, and values approaching one give very elongated orbits.

Real-world uses

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Frequently asked questions

What eccentricity is a circle?

Zero.

Can eccentricity be above one?

Yes, for open orbits such as hyperbolas, which escape the central body.

What eccentricity is a circle?

Zero. Eccentricity between zero and one describes ellipses, and a value of one gives a parabola.

Related topics in Gravitation & Orbits

Kepler's second law · Kepler's third law · Elliptical orbit energy · Perihelion and aphelion · Orbital transfers · Gravity assist

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