The maximum and minimum distances of a comet from the Sun are $1.6 \times 10^{12}\, m$ and $8.0 \times 10^{10}\, m$ respectively. If the speed of the comet at the nearest point is $6 \times 10^{4}\, ms ^{-1},$ the speed at the farthest point is ......... $\times 10^{3}\, m / s$

A planet revolving in elliptical orbit has

$(A)$ a constant velocity of revolution.

$(B)$ has the least velocity when it is nearest to the sun.

$(C)$ its areal velocity is directly proportional to its velocity.

$(D)$ areal velocity is inversely proportional to its velocity.

$(E)$ to follow a trajectory such that the areal velocity is constant.

Choose the correct answer from the options given below

The rotation period of an earth satellite close to the surface of the earth is $83$ minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be .......... $\min$

The largest and the shortest distance of the earth from the sun are ${r_1}$ and ${r_2}$, its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun

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

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