Two planets A and B are fixed at a distance d from each other as shown in the figure. If the mass of A is M A and that of B is M B , then find out the minimum velocity of a satellite of mass M S projected from the mid point of two planets to infinity.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Initial kinetic energy = 
M S V 2
Initial potential energy = – 
– 
= – 
(M A + M B )
Total initial energy = 
M S V 2 – 
(M A + M B )
Finally, Potential energy = 0
Kinetic energy = 0
⇒ Limiting case
Applying energy conservation
M S V 2 – 
(M A + M B ) = 0 ⇒ V = 2 
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