A particle moves in an elliptical orbit in an inverse-square law central force ﬁeld. If the(adsbygoogle = window.adsbygoogle || []).push({});

ratio of the maximum angular velocity to the minimum angular velocity of the particle

in its orbit is n, then show that the eccentricity of the orbit is

[tex]

\epsilon = \frac{\sqrt{n}-1}{\sqrt{n}+1}[/tex]

Not sure where to go with this. I tried finding total energy and angular momentum in terms of max/min angular velocity and radius but can't get anywhere

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# Homework Help: Eccentricity of Orbit

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