Effect of the Earth Movement on the Measured Moon Trajectory

All lunar theories within the framework of classical mechanics are based on the assumption of an inertial frame of reference,which is physically non-existent and has scarcely been examined in previous studies.This paper aims to examine the consequence of giving up the assumption of the existence of an inertial frame and the relevant influence on the measured moon trajectories.The general formulation of the lunar orbit is built from the perspective of the new general system theory(NGST),where the moon is modelled as a 6-DOF living body and active forces are introduced.This formulation can be retrograded to the framework of classical mechanics.Firstly,we calculate the active forces on the moon when a fixed earth movement and a fixed moon movement are assumed in the god-coordinate system.Then we investigate what will happen to the measured moon trajectory in the human-coordinate system when the earth movement and other parameters are perturbed in several cases.It is found that the results are sometimes inconsistent with the explanations using inertia forces in classical mechanics but can be well explained by NGST.We also discovered that the active forces on the moon should be adjusted constantly to maintain the stable measured moon trajectory.