A satellite in a circular orbit of radius R around planet X has an orbital period T.

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A satellite in a circular orbit of radius R around planet X has an orbital period T. If Planet X had one-fourth as much mass, the orbital period of this satellite in an orbit of the same radius would be:

Time period of the satelliteT^2 = [4pi^2/(GM)] R^3Where M is the mass of the planetIf mass is made M/4Then by the above formula T becomesTwice that is 2T

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