A moon orbiting a planet in the solar system has an orbital period of 5.0 x 104 s, and the distance between the center of the moon and the planet is 2.0 x 108 m. What planet is it? a. Mars (mass = 6.42 x 1023 kg) c. Venus (mass = 4.87 x 1024 kg) b. Neptune (mass = 1.02 x 1026 kg) d. Jupiter (mass = 1.90 x 1027 kg)

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anas.p · Answer

remember the formula for finding the Orbital time is$$T=\sqrt{(r^{3}4\pi^2)/(GM)}$$. From this you can derive the mass of the planet in question.$$M=(r^3 \times 4\pi^2)/(GT^2)$$
M = Mass of the Planet.
T = Orbital Time.
r = Distance between the bodies (center of the bodies).
G = Gravitational constant.

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