EASY
Earn 100

An unmanned satellite and a spacecraft 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 has made it correct. For this to be done, docking of two ( and ) is required (in layman terms connecting and ). To achieve this, the rockets of have been fired in forward direction and docking takes place as shown in the figure below:

Take mass of the earth
Radius of the earth
Orbital radius
Mass of satellite
Mass of spacecraft
Assume that initially spacecraft leads satellite by , i.e., arrives at any particular position after of arrival. Based on the above information answer the following question.
To dock and in the above-described situation, one can use the rocket system of either one, i.e., either of or of . To accomplish docking in the minimum possible time, which of the following is the best way?
(a)
To use rocket system of .
(b)
To use rocket system of .
(c)
Either or
(d)
Information insufficient.

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Radius of planet
Gravitational constant ]

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