The https://www-thphys.physics.ox.ac.uk/people/AndreiStarinets/TUTORIALS_NOTES_GR/gr-cosmology-exam-paper-2011-solutions.pdf#page=8[official notes, PDF pp. 8–9, handwritten pp. 2–3] calculate the geostationary satellite/station <proper time> ratio, including the equatorial station's rotation. They explicitly correct the formula printed in the paper; the printed target is not the first-order result of the stated <Schwarzschild metric>.

Solution

Past exam of the general relativity and cosmology and condensed matter physics paper of Part B of the physics course of the University of Oxford / 2011 / Section V / 1 / Unlettered 3 / Solution

 Solution (source code)