The time period of a satellite orbiting around the earth depends on-

CONCEPT:

• The orbital velocity of a satellite is the velocity required to put the satellite into its orbit around the earth.

Mathematically, it can be written as

\(v = \sqrt {\frac{{GM}}{{R + h}}}\)

Where G = universal gravitational constant, M = mass of the earth, R = radius of the earth

• Time Period of Satellite (T):  It is the time taken by satellite to go once around the earth i.e.,

\({\rm{T}} = \frac{{{\rm{Circumference\;of\;the\;orbit}}}}{{{\rm{orbital\;velocity}}}}\)

Mathematically, it can be written as

\(T = 2\pi \sqrt {\frac{{{r^3}}}{{GM}}}\)

Where r = distance between the earth and the satellite

EXPLANATION:

The time period of a satellite is given by:

\(T = 2\pi \sqrt {\frac{{{r^3}}}{{GM}}}\)

• It depends on the mass of the earth. So option 1 is correct.