Closed-Form Analytical Solution for Secular Earth-Moon-Sun Dynamics with General Relativity and Oblateness Effects

Complete analytical solution for the secular dynamics of the Earth-Moon system under solar perturbations, simultaneously incorporating for the first time: Quadrupolar Kozai-Lidov perturbations General relativistic precession (1PN) Earth oblateness effects (J₂) The solution provides explicit expressions for orbital evolution using Jacobi elliptic functions, achieving sub-meter accuracy in Earth-Moon range over decadal timescales.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-29
DOI
https://doi.org/10.5281/zenodo.16994839
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Closed-Form Analytical Solution for Secular Earth-Moon-Sun Dynamics with General Relativity and Oblateness Effects

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Closed-Form Analytical Solution for Secular Earth-Moon-Sun Dynamics with General Relativity and Oblateness Effects

article en

Abstract

Complete analytical solution for the secular dynamics of the Earth-Moon system under solar perturbations, simultaneously incorporating for the first time: Quadrupolar Kozai-Lidov perturbations General relativistic precession (1PN) Earth oblateness effects (J₂) The solution provides explicit expressions for orbital evolution using Jacobi elliptic functions, achieving sub-meter accuracy in Earth-Moon range over decadal timescales.

Zenodo (CERN European Organization for Nuclear Research)
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Geochemistry and Geologic Mapping
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Closed-Form Analytical Solution for Secular Earth-Moon-Sun Dynamics with General Relativity and Oblateness Effects · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS