General orbital perturbation theory in Schwarzschild space-time
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913128175894528 |
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| author | Yanchyshen, Oleksii Hackmann, Eva Lämmerzahl, Claus |
| author_facet | Yanchyshen, Oleksii Hackmann, Eva Lämmerzahl, Claus |
| contents | We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe the evolution of orbital parameters in strong gravity relativistic settings. As examples of external forces we considered Kerr and $q$-metric space-times generated forces, for which we solve equations for osculating elements in linear approximation. For the Kerr space-time in the post-Newtonian limit, our result reproduces the well-known Lense--Thirring precession of the longitude of the ascending node. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_16887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | General orbital perturbation theory in Schwarzschild space-time Yanchyshen, Oleksii Hackmann, Eva Lämmerzahl, Claus General Relativity and Quantum Cosmology We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe the evolution of orbital parameters in strong gravity relativistic settings. As examples of external forces we considered Kerr and $q$-metric space-times generated forces, for which we solve equations for osculating elements in linear approximation. For the Kerr space-time in the post-Newtonian limit, our result reproduces the well-known Lense--Thirring precession of the longitude of the ascending node. |
| title | General orbital perturbation theory in Schwarzschild space-time |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.16887 |