Details
| Original language | English |
|---|---|
| Article number | 045010 |
| Journal | Classical and quantum gravity |
| Volume | 42 |
| Issue number | 4 |
| Publication status | Published - 31 Jan 2025 |
| Externally published | Yes |
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.
Keywords
- cosmological constant, general relativistic Gaussian perturbation equations, osculating orbital elements, quantum corrections, Schwarzschild metric, self-forces, Weierstrass elliptic functions
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Classical and quantum gravity, Vol. 42, No. 4, 045010, 31.01.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Gaussian orbital perturbation theory in Schwarzschild space-time in terms of elliptic functions
AU - Yanchyshen, Oleksii
AU - Lämmerzahl, Claus
N1 - Publisher Copyright: © 2025 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
PY - 2025/1/31
Y1 - 2025/1/31
N2 - 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.
AB - 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.
KW - cosmological constant
KW - general relativistic Gaussian perturbation equations
KW - osculating orbital elements
KW - quantum corrections
KW - Schwarzschild metric
KW - self-forces
KW - Weierstrass elliptic functions
UR - http://www.scopus.com/inward/record.url?scp=85218057904&partnerID=8YFLogxK
U2 - 10.1088/1361-6382/ada90a
DO - 10.1088/1361-6382/ada90a
M3 - Article
VL - 42
JO - Classical and quantum gravity
JF - Classical and quantum gravity
SN - 0264-9381
IS - 4
M1 - 045010
ER -