Celestial mechanics in Newtonian-like gravity with variable G

被引：1

作者：

Escorcio, Felipe S. ^{[1
]}

Fabris, Julio C. ^{[2
,3
,4
]}

Toniato, Junior D. ^{[5
,6
]}

Velten, Hermano ^{[1
]}

机构：

[1] Univ Fed Ouro Preto UFOP, Dept Fis, Campus Univ Morro Cruzeiro, BR-35400000 Ouro Preto, Brazil

[2] Univ Fed Espirito Santo UFES, Nucleo Cosmo Ufes, Av Fernando Ferrari 540, BR-29075910 Vitoria, ES, Brazil

[3] Univ Fed Espirito Santo UFES, Dept Fis, Av Fernando Ferrari 540, BR-29075910 Vitoria, ES, Brazil

[4] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Kashirskoe Shosse 31, Moscow 115409, Russia

[5] Univ Fed Espirito Santo, Nucleo Cosmo Ufes, Alto Univ S-N, BR-29500000 Alegre, ES, Brazil

[6] Univ Fed Espirito Santo, Dept Quim & Fis, Alto Univ S-N, BR-29500000 Alegre, ES, Brazil

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 12期

关键词：

PLANETS;

D O I：

10.1140/epjp/s13360-023-04729-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian has been recently proposed in Fabris (Eur Phys J Plus 136:143, 2021). This work demonstrates that the modified gravitational force acting on a test particle is analogous to that derived from the Manev potential. Specifically, an additional term proportional to-3 emerges alongside the conventional Newtonian component. We analyze the predicted expression for the pericenter advance and the Roche limit and use them to constraint the theory's single free parameter omega which is analogous to the Brans-Dicke parameter. At the same time this theory is able to solve the advance of Mercury's perihelion, we also show that there is no relevant impact on the Roche limit in comparison with the well-known Newtonian results.

引用

页数：13

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