Gaussian orbital perturbation theory in Schwarzschild space-time in terms of elliptic functions

authored by

Oleksii Yanchyshen, Claus Lämmerzahl

Abstract

General relativistic Gauss equations for osculating elements for bound orbits under the influence of a perturbing force in an underlying Schwarzschild space-time have been derived in terms of Weierstrass elliptic functions. Thereby, the perturbation forces are restricted to act within the orbital plane only. These equations are analytically solved in linear approximation for several different perturbations such as cosmological constant perturbation, quantum correction to the Schwarzschild metric, and hybrid Schwarzschild/post-Newtonian 2.5 order self-force for binary systems in an effective one-body framework.

External Organisation(s)

Center of Applied Space Technology and Microgravity (ZARM)

Type

Article

Journal

Classical and quantum gravity

Volume

42

ISSN

0264-9381

Publication date

31.01.2025

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Electronic version(s)

https://doi.org/10.1088/1361-6382/ada90a (Access: Unknown)
https://iopscience.iop.org/article/10.1088/1361-6382/ada90a (Access: Unknown)