Circular motion of identical spheres in space

AI Thread Summary
The discussion focuses on calculating the shortest period of revolution for two identical spheres in circular orbit around a midpoint in free space. Newton's version of Kepler's third law is suggested as a relevant approach to solve the problem. Participants are encouraged to explore the gravitational interactions and orbital mechanics involved. The inquiry highlights a gap in available resources for understanding this specific scenario. Overall, the thread seeks assistance in applying theoretical physics to a practical question about orbital dynamics.
sberreb
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Hey everyone,
I have this question that does not make much sens to me and I can't find any clue on the internet.

Find the shortest possible periode of revolution of two identical gratitating solid spheres which are in circular orbit in free space about a point midway between them. (You can imagine the spheres fabricated from any material obtained by man.)

Some help would be appreciated.
have a good day
 
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I think Newton's version of Kepler's 3rd law would be appropriate for this problem.
 

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