Earth Satellites

The time period of an earth satellite in circular orbit is independent of

Two satellites of earth, ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$ are moving in the same orbit. The mass of ${\mathrm{S}}_1$ is four times the mass of ${\mathrm{S}}_2$. Which one of the following statements is true?

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is $v.$ The orbital velocity of a satellite orbiting at an altitude of half of the radius of earth is

A satellite is orbiting around the earth in a circular orbit of radius $r$. Its

The period of moon's rotation around the earth is nearly $29$ days. If moon's mass were $2$ fold its present value, and all other things remain unchanged, the period of moon's rotation would be nearly

Which of the following quantities does not depend upon the orbital radius of the satellite?

A ball is dropped from a spacecraft revolving around the earth at a height of $100 \mathrm{km}$, then the ball

A satellite $\mathrm{S}$ is moving in an elliptical orbit around earth. The mass of the satellite is very small compared to the mass of the earth.

Rockets are launched in Eastward direction to take advantage of

The time period of an Earth satellite, in circular orbit, is independent of

If $\mathrm{\rho }$ is the density of the planet, the time period of nearby satellite is given by

If $\rho$ is the density of the planet, the time period of nearby satellite is given by

Two satellites $A$ and $B$ go round a planet $P$ in circular orbits having radii $4R$ and $R$ respectively. If the speed of the satellite $A$ is $3v$, the speed of the satellite $B$ will be

An artificial satellite moving in a circular orbit around the earth has a total (kinetic $+$ potential) energy $E_0$. Its potential energy is

Two satellites, $A$ and $B$, moves around the earth in circular orbits at heights of $R_A$ and $R_B$, respectively, from the surface of the earth. Assuming earth to be a uniform sphere of radius $R_e$, the ratio of the magnitudes of their orbital velocities is