A space vehicle of mass m is in a circular orbit of radius 2Re about the earth (mass me) - Physics - Gravitation

Question

A space vehicle of mass m is in a circular orbit of radius
2Re about the earth (mass me) What is the
work done by an external agent to transfer it to an orbit of radius
4Re

Pratyay Ghosh · Accepted Answer

Work done here is the difference in energies at the two
orbits

So,
W=Gmem22Re-Gmem24Re=Gmem8Re

A space vehicle of mass m is in a circular orbit of radius 2Re about the earth (mass me). What is the work done by an external agent to transfer it to an orbit of radius 4Re.

A space vehicle of mass m is in a circular orbit of radius 2R_e about the earth (mass m_e). What is the work done by an external agent to transfer it to an orbit of radius 4R_e.