Show that for planetary motion around the sun, the orbital velocity of a planet is maximum and minimum at the nearest and furthest point respectively from the sun.

Find out the orbital velocity of mass 'm' rotating around sun of mass M with radius of the orbit r.

The orbital speed of a planet around the sun depends on the mass of the planet -is this statement true or false ?

State Kepler's third law of planetary motion and prove it considering circular orbits of planets .

Two planet are revolving around the sun. their time periods of revolution and the average radii of the orbits are respectively (T_1,T_2) and (r_1,r_2) . The ratio T_1//T_2 is

Assume that the earth moves around the sun in a circular orbit of radius R and there exists a planet which also moves around the sun in a circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

An artificial satellite is moving in an orbit around the earth with a velocity equal to one-third the escape velocity from the surface of the earth. (i) Find the height of the satellite from the surface of the earth.

A body thrown vertically upwards from a point with a velocity v_(0) rises to a maximum height and then comes back to the point. Then