The launch vehicle, thrown by the Earth satellite, first moves after it, and then overtakes it. Why is this happening?

The launch vehicle, thrown by the Earth satellite, first moves after it, and then overtakes it. Why is this happening? Does the same thing happen in preparation for the return of astronauts to Earth in a spacecraft still in circumlunar orbit?

Due to the large cross-section, the launch vehicle is more strongly decelerated by the atmosphere and descends, and then turning in a smaller orbit, it moves faster. There is no atmosphere around the Moon and therefore the launch vehicle is not decelerated there.

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