Question

The period of a satellite in a circular orbit around a planet is independent of

Answer 1

The answer is mass.The period of a satellite in a circular orbit around a planet is independent of its mass

Answer 2

Answer: Mass of the satellite

Explanation:

The period of a satellite is given by

$T = \frac{\text{circumference of orbit}} {\text{orbital velocity}}\\T = \frac{2\pi r}{\sqrt\frac{GM}{r}} = 2\pi \times \sqrt{\frac{r^3}{GM}}$

where, M is the mass of the planet, r is the radius of the orbit and G is the gravitational constant.

Thus, the period of a satellite in a circular orbit around a planet depends on the radius of the orbit and the mass of the planet about which it is revolving. Thus, it is independent of the mass of the satellite.