Two satellites are in orbit around the same planet. satellite a has a mass of 1.5 x 10^2 kg and satellite b has a mass of 4.5 x 10^3 kg. the mass of the planet is 6.6 x 10^24 kg. both satellites have the same orbital radius of 6.8 x 10^6 m. what is the difference in the orbital periods of the satellites?

The difference in the orbital periods of the satellites is zero.

Explanation:

Given data,

The mass of the planet A is, m = 1.5 x 10² kg

The mass of the planet B is, m' = 4.5 x 10³ kg

The mass of the planet is, M = 6.6 x 10²⁴ kg

The orbital radius of the satellites are, R = 6.8 x 10⁶ m

The orbital period of the satellite is given by,

From the above equation, it is evident that the period of the satellite is independent of the mass of the satellite.

Since the radius of the orbit of the satellites A and B are the same, the difference in the orbital periods of the satellites is zero.

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