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It was noted in #3609 that we had an abnormal discrepancy between the motion computed in the inertial frame and that computed using the geometric acceleration in the rotating-pulsating frame, but that this discrepancy was there in the MEO frame already.
This discrepancy is absent in the frame of the lunar surface. Interestingly @pleroy found that it is also absent when the Sun-Earth-Moon system is made planar; thus the issue is not just nonuniform rotation (the orbit of the moon is still eccentric in that case), but variation of the axis of rotation.
The text was updated successfully, but these errors were encountered:
The current theory is that this computation is incorrect. What we should be computing is the spin angular velocity of a rigid body (the frame) but we are using the formula for orbital angular velocity; Wikipedia even has a note explaining that this is wrong.
It was noted in #3609 that we had an abnormal discrepancy between the motion computed in the inertial frame and that computed using the geometric acceleration in the rotating-pulsating frame, but that this discrepancy was there in the MEO frame already.
This discrepancy is absent in the frame of the lunar surface. Interestingly @pleroy found that it is also absent when the Sun-Earth-Moon system is made planar; thus the issue is not just nonuniform rotation (the orbit of the moon is still eccentric in that case), but variation of the axis of rotation.
The text was updated successfully, but these errors were encountered: