Answer:
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,
[tex]T=\frac{2\pi R}{\sqrt{\frac{GM}{R}}}[/tex]
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.
