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Annoying ellitpical orbit problem

  • #1

Homework Statement



a planet in elliptical orbit about a star has speed of 100 m/s at its closest approach of 1X 10^10m . what is the speed at its furthest approach of 3X10^10m? What has happened to its total mechanical energy?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
ideasrule
Homework Helper
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You have to at least give it a try before asking for help.
 
  • #3
I tried to figure out it using mGh+1/2mv^2 = mechanical energy original = mechanical energy final. However, I know there has to be an easier way to do it, using ratios. Could you please tell me the trick?
 

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