The period of a satellite in a circular or

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

A

radius of its orbit

B

both the mass and radius of the orbit

C

The mass of the satellite

D

neither the mass of the satellite nor the radius of its orbit.

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

The period of a satellite is given by

$T=\frac{\text { circumference of orbit }}{\text { or bital velocity }}$

$T=\frac{2 \pi r}{\sqrt{\frac{r M}{r}}}=2 \pi \times \sqrt{\frac{r^{3}}{G M}}$

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.