An unmanned satellite `A` and a spacecraft `B` are orbiting around the earth in the same circular orbit as shown.

The spacecraft is ahead of the satellite by some time. Let us consider that some technical problem has arisen in the satellite and the astronaut from `B` has made it correct. For this to be done docking of two (`A` and `B`) is required (in layman terms connecting `A` and `B`). To achieve this, the rockets of `A` have been fired in forward direction and docking takes place as shown in the figure below:

Take mass of the earth `=5.98xx10^(24)kg`
Radius of the earth `=6400 km`
Orbital radius `=9600km`
Mass of satellite `A=320 kg`
Mass of spacecraft `=3200 kg`
Assume that initially spacecraft `B` leads satellite `A` by `100s`, i.e., `A` arrives at any particle position after `100 s` of `B’s` arrival. Based on the above information answer the following questions. After once returning to the original point, i.e., the place from where the rockets have been fired, in which direction and with what extent the rockets have to be fired from the satellite to again come back in the original orbit?

Options

A. Forward direction with the same extent.
B. Backward direction with the same extent.
C. Forward direction with the higher extent.
D. Backward direction with the higher extent.

Answer

B

Explanation

To bring back the satellite in the same orbit, we have to make the speed of the satellite as initial one for which we have to increase `v_(f)` by such amont so that it becomes equal to `v_(i)` for which we have to fire the rocket in backward direction with the same extent.