This is a perfect example of how you can confuse yourself unnecessarily by not following the correct procedure! Time dilations in the Special Theory of Relativity (SR) and in the General Theory of Relativity (GR) are always with respect to an inertial system clock. Both the satellites are non-inertial accelerating systems, changing each instant. You cannot compare clocks in the two non-inertial systems by using relative velocities in the SR equations. So both the satellite clocks will run slow with respect to an inertial system clock and once synchronized will show the same time forever. The time dilation equation in SR depends on v^2 and in GR depends on just location in the gravitational field.

Kashyap Vasavada, Emeritus Professor of Physics at Indiana-Purdue Univ. Indianapolis

This is a perfect example of how you can confuse yourself unnecessarily by not following the correct procedure! Time dilations in the Special Theory of Relativity (SR) and in the General Theory of Relativity (GR) are always with respect to an inertial system clock. Both the satellites are non-inertial accelerating systems, changing each instant. You cannot compare clocks in the two non-inertial systems by using relative velocities in the SR equations. So both the satellite clocks will run slow with respect to an inertial system clock and once synchronized will show the same time forever. The time dilation equation in SR depends on v^2 and in GR depends on just location in the gravitational field.