Kepler's 3rd Law, circular orbit, 2 planets

AI Thread Summary
The discussion revolves around the application of Kepler's 3rd Law to a homework problem involving two planets in circular orbits. The key equations provided are T^2 = (4π^2a^3)/(GM) for the orbital period and E = -GMm/(2a) for energy. A participant inquires whether the presence of two planets affects these equations. The consensus is that since the mass of the planets is negligible compared to the central mass, their mutual gravitational effects can be ignored, allowing the original equations to remain valid. This understanding is crucial for solving the problem correctly.
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Homework Statement


http://www.its.caltech.edu/~tmu/ph1a/FPs/fp12.htm
this is the question.

Homework Equations



T^2=\frac{4\pi^2a^3}{GM}

E=-\frac{GMm}{2a}

The Attempt at a Solution



I have none. My question is, does the fact that there are two planets affect the equations for period and energy? Without knowing this, I can't solve any of it. Help? Slightly urgent. This problem is due tomorrow at 4pm PST.
 
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Well, since m << M, I would say that you can ignore any effects which the planets have on each other, so no, you don't need to change the period and energy equations.
 
Thanks.
 
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