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## Homework Statement

The three planets (v1, v2 and v3) in the diagram all have similar mass and are in a line equally spaced so that v1 and v3 are orbiting around v2 synchronously. If the mass of each of the planets are M and the radius of the orbit is R, what is the orbital period?

## Homework Equations

T=[itex]\frac{2*pi*r}{v}[/itex]

v=[itex]\sqrt{GM/r}[/itex]

Fg=GMm/r^2

## The Attempt at a Solution

I am pretty sure you just need to set two equations equal to each other and solve for the variable T, but I am unsure which two equations this is. It would be appreciated if somebody could explain all this to me. Thank you.