Perihelion precession in non-Newtonian central potentials
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909587839385600 |
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| author | Andreoli, Michele |
| author_facet | Andreoli, Michele |
| contents | High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form $δV=\fracγ{r^{s}}$, are calculated in closed form. To validate the method, the series is applied to the specific case of s=3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s=4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perihelion precession in non-Newtonian central potentials Andreoli, Michele Earth and Planetary Astrophysics General Relativity and Quantum Cosmology High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form $δV=\fracγ{r^{s}}$, are calculated in closed form. To validate the method, the series is applied to the specific case of s=3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s=4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities. |
| title | Perihelion precession in non-Newtonian central potentials |
| topic | Earth and Planetary Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.07690 |