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@article{66442, author = {Suliyeva, G. B. and Boshkayev, K. A. and Nurbakyt, G. and Quevedo, H. and Taukenova, A. S. and Tlemissov, Abylaikhan and Tlemissova, Zhanerke and Urazalina, A.}, article_number = {1}, doi = {http://dx.doi.org/10.26577/ijmph.2022.v13.i1.09}, keywords = {test particles;gravitational field ;Hartle-Thorne metric;Sun's angular moment;quadrupole moment;perihelion shift}, language = {eng}, issn = {2218-7987}, journal = {International Journal of Mathematics and Physics}, title = {Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime}, url = {https://ijmph.kaznu.kz/index.php/kaznu/article/view/460/275}, volume = {13}, year = {2022} }
TY - JOUR ID - 66442 AU - Suliyeva, G. B. - Boshkayev, K. A. - Nurbakyt, G. - Quevedo, H. - Taukenova, A. S. - Tlemissov, Abylaikhan - Tlemissova, Zhanerke - Urazalina, A. PY - 2022 TI - Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime JF - International Journal of Mathematics and Physics VL - 13 IS - 1 SP - 79-86 EP - 79-86 SN - 22187987 KW - test particles;gravitational field ;Hartle-Thorne metric;Sun's angular moment;quadrupole moment;perihelion shift UR - https://ijmph.kaznu.kz/index.php/kaznu/article/view/460/275 N2 - 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. ER -
SULIYEVA, G. B., K. A. BOSHKAYEV, G. NURBAKYT, H. QUEVEDO, A. S. TAUKENOVA, Abylaikhan TLEMISSOV, Zhanerke TLEMISSOVA a A. URAZALINA. Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime. \textit{International Journal of Mathematics and Physics}. 2022, roč.~13, č.~1, s.~79-86, 9 s. ISSN~2218-7987. Dostupné z: https://dx.doi.org/10.26577/ijmph.2022.v13.i1.09.
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