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

verfasst von

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.

Externe Organisation(en)

Zentrum für angewandte Raumfahrt­technologie und Mikro­gravitation (ZARM)

Typ

Artikel

Journal

Classical and quantum gravity

Band

42

ISSN

0264-9381

Publikationsdatum

31.01.2025

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Elektronische Version(en)

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