A 400 kg satellite is in a circular orbit of radius 2R_Eabout the Earth. How much energy is required to transfer it to a circular orbit of radius 4R_E ?

A 400 kg satellite is in a circular orbit of radius 2R_Eabout the Eart

1.	A 400 kg satellite is in a circular orbit of radius 2R_Eabout the Earth. How much energy is required to transfer it to a circular orbit of radius 4R_E ?
Answer» Solution :Initial `E_(i) = (-GM_Em)/(4R_(E)` While finally `E_(F) =-(GM_(E)m)/(8R_E)` The CHANGE in the total energy is `DeltaE=E_(f) - E_(i)` `DeltaE=(gmR_E)/8=(9.81xx400xx6.37xx10^6)/8=3.13xx10^9J`