J
2022
Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime
SULIYEVA, G. B., K. A. BOSHKAYEV, G. NURBAKYT, H. QUEVEDO, A. S. TAUKENOVA et. al.
Basic information
Original name
Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime
Authors
SULIYEVA, G. B., K. A. BOSHKAYEV, G. NURBAKYT, H. QUEVEDO, A. S. TAUKENOVA, Abylaikhan TLEMISSOV (398 Kazakhstan, belonging to the institution), Zhanerke TLEMISSOVA (398 Kazakhstan, belonging to the institution) and A. URAZALINA
Edition
International Journal of Mathematics and Physics, 2022, 2218-7987
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10308 Astronomy
Country of publisher
Kazakhstan
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19630/22:A0000239
Organization unit
Institute of physics in Opava
Keywords in English
test particles;gravitational field ;Hartle-Thorne metric;Sun's angular moment;quadrupole moment;perihelion shift
Tags
International impact, Reviewed
V originále
We study the motion of test particles in the gravitational field of a rotating and deformed object within the framework of the adiabatic theory. For this purpose, the Hartle-Thorne metric written in harmonic coordinates is employed in the post-Newtonian approximation where the adiabatic theory is valid. As a result, we obtain the perihelion shift formula for test particles orbiting on the equatorial plane of a rotating and deformed object. Based on the perihelion shift expression, we show that the principle of superposition is valid for the individual effects of the gravitational source mass, angular momentum and quadrupole moment. The resulting formula was applied to the inner planets of the Solar system. The outcomes are in a good agreement with observational data. It was also shown that the corrections related to the Sun's angular moment and quadrupole moment have little impact on the perihelion shift. On the whole, it was demonstrated that the adiabatic theory, along with its simplicity, leads to correct results, which in the limiting cases correspond to the ones reported in the literature.
Displayed: 28/12/2024 05:47