A satellite of mass `M_(S)` is orbitting the earth in a circular orbit of radius `R_(S)`. It starts losing energy slowly at a constant rate C due to friction if `M_(e)` and `R_(e)` denote the mass and radius of the earth respectively show that the satellite falls on the earth in a limit time t given by `t=(GM_(S)M_(e))/(2C)((1)/(R_(e))-(1)/(R_(S)))`

Answer

n/a

Explanation

Loss of total energy
`=|TE|_("final")-|TE|_("initial")=Ct`
`impliesCt=(GM_(g)M_(e))/(2)((1)/(R_(e))-(1)/(R_(S)))`