Suppose that a satellite ship orbits the Moon in an elliptical orbit. At its closes point to the MOon it has a speed of Vc and a radius Rc from center of Moon. At its farthest point, it has a speed of Vf and a radius Rf. Find the RAtio Vc/Vf ( Hint: at closest and farthest points , the relation v=rw is valid) Answer is Rf/Rc .
Can anyone please explain why ? Thanks.

Question

Suppose that a satellite ship orbits the Moon in an elliptical orbit. At its closes point to the MOon it has a speed of Vc and a radius Rc from center of Moon. At its farthest point, it has a speed of Vf and a radius Rf. Find the RAtio Vc/Vf ( Hint: at closest and farthest points , the relation v=rw is valid) Answer is Rf/Rc .
Can anyone please explain why ? Thanks.

fellowroot · Answer

attachment

fellowroot · Answer

I actually don't know if that's right because my Rf and Rc is switched compared to your answer. I also want to know if I can cancel out the angular velocities because I think the satellite increases in speed close to the moon and decreases in speed when its far from the moon. Anyway let me know if I got it or not.