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{This paradox denotes the fact that a satellite in a near circular orbit suffers an increase in velocity when subject to a drag force.}

The Specific energy of the satellite is K + U = E where K =v^2/2 is specific kinetic energy. U= -u/r is specific energy and E is specific total energy. If satellite in circular orbit then u=(v^2)*r.

If orbital radius changes by a small amount

*dr*, what is the resulting change

*dE*of the total energy?

3. The attempt at a solution

What I figured to do is take derivative with respect to

*r*but if I do that it will cancel out the distance completely when I plug in the

*u*into the E equation. I i'm not sure if that's the approach I should take. Or should I take derivative with respect to time, because as time changes distance also changes. Not to sure...