Subjects: Astronomy >> Celestial Mechanics Subjects: Physics >> Geophysics, Astronomy, and Astrophysics submitted time 2024-05-16
Abstract： This paper presents a systematic improvement in celestial dynamics theory by introducing a new symmetric form of particle dynamics equation. For open multi-body systems, the symmetric new equation can be applied to any translational reference frame, thus avoiding the need for inertial reference frame approximations and enhancing the accuracy of theoretical predictions. In the case of bound multi-body systems, applying the symmetric new equation allows for an extremely simplified derivation of the planetary perturbation equation in one step. Furthermore, by considering temporary thrust or impact forces acting on planets, or even considering any external forces acting on the bound system further to enhance the computational precision, a new correction equation is now established for the planetary perturbation that can be further imposed with non-perturbative interactions. This will assist in the prediction of the trajectory of asteroids affected by external forces and in the accurate calculation of the orbit of satellites.
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Awaiting Review
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