A Mars satellite moving in an orbit of radius 9.4 × 10³ Km takes 27540 s to complete one revolution. Calculate the mass of Mars.

The time taken by the Mars to revolve round the sun is 1.88 years. Find the ratio of average distance between Mars and the sun to that between the earth and the sun.

The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84 × 10⁵ Km. Calculate the mass of the earth from these data.

A satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 Km above the earth’s surface. Find

(a) Its speed in the orbit.

(b) Its kinetic energy.

(c) The potential energy of the earth-satellite system and

(d) Its time period. Mass of the earth = 6 × 10²⁴ Kg.

(a) Find the radius of the circular orbit of a satellite moving with an angular speed equal to the angular speed of earth’s rotation.

(b) If the satellite is directly above the North Pole at some instant, find the time it takes to come over the equatorial plane.

Mass of the earth = 6 × 10²⁴ Kg.