Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F22%3AA0000239" target="_blank" >RIV/47813059:19630/22:A0000239 - isvavai.cz</a>

Result on the web

<a href="https://ijmph.kaznu.kz/index.php/kaznu/article/view/460/275" target="_blank" >https://ijmph.kaznu.kz/index.php/kaznu/article/view/460/275</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.26577/ijmph.2022.v13.i1.09" target="_blank" >10.26577/ijmph.2022.v13.i1.09</a>

Result language

angličtina

Original language name

Adiabatic Theory Of Motion Of Bodies In The Hartle-Thorne Spacetime

Original language description

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.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Mathematics and Physics

ISSN

2218-7987

e-ISSN

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Volume of the periodical

13

Issue of the periodical within the volume

1

Country of publishing house

KZ - KAZAKSTAN

Number of pages

9

Pages from-to

79-86

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85139109974