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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

International Journal of Mathematics and Physics

ISSN

2218-7987

e-ISSN

—

Svazek periodika

13

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

KZ - Republika Kazachstán

Počet stran výsledku

9

Strana od-do

79-86

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85139109974