Constructing the central potential from the orbit

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Chen
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Hi,

A particle of mass M is moving in an uknown central potential. Its orbit is a circle of raduis R, that passes through the origin. I need to reconstruct the potential from this information.

Thanks,
Chen
 
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Solved it. Thank you very very much.
 
Chen, I already know how to do this sum. It is you who posted asking for help.
The forum rules are that you should show your work if you require help. Besides, I wanted to know how far you had gone along. It's easier to provide hints that way.
So, I feel the way I answered was perfectly right.