Circular motion of identical spheres in space

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SUMMARY

The discussion focuses on calculating the shortest possible period of revolution for two identical, rotating solid spheres in circular orbit around a midpoint in free space. The participants suggest applying Newton's version of Kepler's Third Law to derive the solution. This approach emphasizes the gravitational interaction between the spheres and the central point, which is crucial for determining their orbital dynamics. The conversation highlights the need for a clear understanding of gravitational forces and orbital mechanics in this context.

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  • Newton's laws of motion
  • Kepler's laws of planetary motion
  • Gravitational force calculations
  • Orbital mechanics principles
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  • Study Newton's version of Kepler's Third Law in detail
  • Explore gravitational force equations between two bodies
  • Investigate the concept of circular orbits in physics
  • Learn about solid body rotation dynamics
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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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