Synthesized Dual-Resonance Model for Revealing the Isotropic Uniform Symmetry (IUS) of Planetary Orbits
Planetary Perturbations are caused by multi-body gravity and relativity. The first kind of perturbation method is to use a high-order numerical approximation or analytical series to obtain a result. Based on the SDP atom model, the study has developed a Synthesized Dual-Resonance model to describe orbital precession as the coupling of radial resonance and circumferential motion. The model has an integral form for angular momentum. Numerical simulations have shown that the shape of the orbit and its convergence properties at all frequencies are different, and cumulative orbits approach an isotropic, uniform, symmetric ring around a single dynamical center in the long-period limit. It has a relatively simple kinematic structure for quick orbit design and long-period prediction.
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