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- Title
General relativistic approach to the vis-viva equation on Schwarzschild metric.
- Authors
Peng, Qi; Yokoyama, Shuichiro; Ichiki, Kiyotomo
- Abstract
A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The updated equation reduces to the traditional vis-viva equation under Newtonian conditions and is a more accurate tool for astrodynamics than the traditional equation. Preliminary simulation results demonstrate the application potential of the modified vis-viva equation for more complex n-body systems. Spherical symmetry is assumed in this approach; however, this limitation could be removed in future research. This study is a pivotal step toward bridging classical and relativistic mechanics and thus makes an important contribution to the field of celestial dynamics.
- Subjects
SCHWARZSCHILD metric; RELATIVISTIC mechanics; CLASSICAL mechanics; EQUATIONS; ASTRODYNAMICS
- Publication
General Relativity & Gravitation, 2024, Vol 56, Issue 4, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-024-03235-7