Space Tug by Murray Leinster

Making actual contact with the platform was not a matter for instruments and calculations. It had to be done directly -- by hand, as it were. Joe watched out the ports and played the controls of the steering jets with a nerve-racked precision. His task was not easy.

Before he could return to the point of rendezvous, the blinding sunlight on the Platform took on a tinge of red. It was the twilight-zone of the satellite's orbit, when for a time the sunlight that reached it was light which had passed through Earth's atmosphere and been bent by it and colored crimson by the dust in Earth's air. It glowed a fiery red, and the color deepened, and then there was darkness.