Why is work done by the force of gravity on a satellite when it moves from one part of an elliptical orbit to another, but not when it moves from one part of a circular orbit to another?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Why is work done by the force of gravity on a satellite when it moves from one part of an elliptical orbit to another, but not when it moves from one part of a circular orbit to another?

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