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A) Can two objects of the same mass be in the same Kepler orbit but with two separate angular velocities?

B) Does total energy correspond to a unique value of velocity and distance for the circular case? i.e. {total energy} \rightarrow {orbital velocity, distance} by one to one correspondence?

C) Is it possible to find a sequence of increasing and deceasing thrusts such that a satellite can remain in the same circular orbit but increase its rotation velocity?

ii) What if the orbit is allowed to be elliptical?

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