Physics - Gravitation Question with Solution | TestHub

A satellite of mass$\mathrm{m}$is orbiting the earth in a circular orbit at a height$2\mathrm{R}$above earth surface where$\mathrm{R}$is the radius of the earth. If it starts losing energy at a constant rate$\mathrm{\beta },$then it will fall on the earth surface after the time$\mathrm{t}=\frac{\mathrm{GMm}}{\mathrm{n\beta R}}.$Assuming that the satellite is approximately in a circular orbit at all times, find the value of$\mathrm{n}.$