- #1
cscott
- 782
- 1
A particle moves in an elliptical orbit in an inverse-square law central force field. If the
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
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