SULIYEVA, G. B., K. A. BOSHKAYEV, G. NURBAKYT, H. QUEVEDO, A. S. TAUKENOVA, Abylaikhan TLEMISSOV, Zhanerke TLEMISSOVA and A. URAZALINA. Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime. International Journal of Mathematics and Physics. 2022, vol. 13, No 1, p. 79-86, 9 pp. ISSN 2218-7987. Available from: https://dx.doi.org/10.26577/ijmph.2022.v13.i1.09.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Kazakhstan
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/22:A0000239
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.26577/ijmph.2022.v13.i1.09
Keywords in English test particles;gravitational field ;Hartle-Thorne metric;Sun's angular moment;quadrupole moment;perihelion shift
Tags FÚ, RIV23
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 13/2/2023 12:40.
Abstract
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.
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