
TESS is a satellite of mass
in a circular orbit about the Earth as shown in
The radius of the Earth is
and the mass of the Earth, considered to be a point mass at its centre, is
.
It takes TESS 13.7 days to orbit the Earth. Show that the radius of orbit of TESS is
.
Calculate the change in gravitational potential energy between TESS in orbit and TESS on a launch pad on the surface of the Earth.