General Relativistic Approach to the Vis-viva Equation on Schwarzschild Metric
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914756667899904 |
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| author | Peng, Qi Yokoyama, Shuichiro Ichiki, Kiyotomo |
| author_facet | Peng, Qi Yokoyama, Shuichiro Ichiki, Kiyotomo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General Relativistic Approach to the Vis-viva Equation on Schwarzschild Metric Peng, Qi Yokoyama, Shuichiro Ichiki, Kiyotomo General Relativity and Quantum Cosmology 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. |
| title | General Relativistic Approach to the Vis-viva Equation on Schwarzschild Metric |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.10302 |