Show that for a satellite close to the. earth's surface the time period (T) is related to its density `(pi)` in the following, manner—`[T prop 1/(sqrtP)]`

Frequency (n) and time-period (T) are related as

If T is the period of revolution of an artificial satellite orbiting very close to the earth's surface and rho is the density of the earth, then show that rho T^2 is a universal constant.

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

The mass and radius of a satellite is twice that of the earth. If a seconds pendulum is taken to that satellite, what will be its time period?

The radius of the earth = R. if a geostationary satellite is revolving along a circular path at an altitude of 6R above the surface of the earth, what will be the time period of revolution of another satellite revolving around the earth at an altitude of 2.5R ?

The time period of a satellite A, whose orbital radius is r_0 is T_0 and the time period of a satellite B having radius 4r_0 is T_B . Find the ratio of T_B and T_0 .

A geostationary satellite orbits around the earth surface in a circular orbit of radius 36,000 km. then, he time period of a spy satellite orbiting seventeen hundred kilometers above the earth's surface (R_e= 6400 km) will approximately be