flufffrost
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DaveC426913 said:No. No work is being done because the CoM of the (Earth/Moon) system has remained stationary.
Depends on whether you include the asteroid in the system or not. If you do not, then yes work is done (the CoM of Earth/Moon has moved due the external influence of the asteroid); if you do, tehn no work is done (because the CoM of Earth/Moon/asteroid has not moved).
Sorry if I have misinterpreted once more, but I understand you guys to be saying that energy is not used in a system if the sum of potential and kinetic energy is constant. Is this right?