Suppose a solar system, with three planets circling a star, exists in a galaxy far far away. One of the planets orbits the star with the period of 6.31 x 10^7 seconds/cycle and a radius of 3.00 x 10^11 m. It has a moon that orbits it with a period of 1.73 x 10^6 seconds/cycle at a radius of 6.00 x 10^8 m.

a) What is the mass of the planet's star?

b) What is the mass of the planet?

c) What is the speed of the planet's moon?

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Hubert KochLv2

3 May 2019

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An extrasolar planet can be detected by observing the wobbleit produces on the star around which it revolves. Suppose anextrasolar planet of mass mb revolves around its star of mass ma .If no external force acts on this simple two-object system, thenits CM is stationary. Assume ma and mb are in circular orbits withradii ra and rb about the system's CM.

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I have tried everything.
The innermost moon of Jupiter orbits the planet with a radius of433 x 10^3 km and a period of 1.77 days. What's the mass ofJupiter?
a) 1.3 x 10^27
b) 1.5 x 10^27
c) 1.7 x 10^27
d) 1.9 x 10^27

I used (T^2) / (R ^3) = (4pi^2) / (G x M) but I still couldn't getthe right answer and I don't know what other equation I could use.Please show a step by step to the answer

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