$A$ satellite of mass $m$ is circulating around the Earth with constant angular velocity. If the radius of the orbit is $R_0$ and the mass of the Earth is $M$,the angular momentum about the centre of the Earth is:

Consider two satellites $S_{1}$ and $S_{2}$ with periods of revolution $1\, hr$ and $8\, hr$ respectively,revolving around a planet in circular orbits. The ratio of the angular velocity of satellite $S_{1}$ to the angular velocity of satellite $S_{2}$ is:

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

Spaceman Fred's spaceship (which has negligible mass) is in an elliptical orbit about Planet Bob. The minimum distance between the spaceship and the planet is $R$; the maximum distance between the spaceship and the planet is $2R$. At the point of maximum distance,Spaceman Fred is traveling at speed $v_0$. He then fires his thrusters so that he enters a circular orbit of radius $2R$. What is his new speed?

$A$ satellite is revolving around the Earth in a circular orbit at a uniform speed $v$. If the gravitational force suddenly disappears,the speed of the satellite will be ..............

Two satellites $A$ and $B$ are orbiting in circular paths of radii $4R$ and $R$ respectively. If the orbital velocity of satellite $A$ is $3V$,what is the orbital velocity of satellite $B$ (in $V$)?