General orbital perturbation theory in Schwarzschild space-time

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Detalles Bibliográficos
Autores principales:	Yanchyshen, Oleksii, Hackmann, Eva, Lämmerzahl, Claus
Formato:	Preprint
Publicado:	2026
Materias:	General Relativity and Quantum Cosmology
Acceso en línea:	Acceder al recurso
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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
id	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

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