In Praise of Simple Physics by Nahin Paul J.;

Author:Nahin, Paul J.;
Language: eng
Format: epub, pdf
Publisher: Princeton University Press
Published: 2016-03-14T16:00:00+00:00

where we insert the minus sign because we know that v fd > 0 and that the total energy is decreasing. Now, from the boxed equation for total energy we have

and so differentiation with respect to time gives

or

Using the boxed equation for , we get

which says the rate of change of the orbital speed of the satellite is directly proportional to the drag force. And since both fd and m are positive, then , and the orbital speed continually increases even as the drag force continually drains energy from the satellite.

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