A rocket coasts in an elliptical orbit around Earth. To
Chapter , Problem 100TAD(choose chapter or problem)
A rocket coasts in an elliptical orbit around Earth. To attain the greatest amount of KE for escape for a given amount of fuel, should it fire its engines to accelerate forward when it is at the apogee or at the perigee? (Hint: Let the formula \(F d=\Delta \mathrm{KE}\) be your guide to thinking. Suppose the thrust F is brief and of the same duration in either case. Then consider the distance d the rocket would travel during this brief burst at the apogee and at the perigee.)
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