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?