Bound states of central force system in special relativity

被引：0

作者：

Setiawan, Iwan ^{[1
]}

Sugihakim, Ryan ^{[2
]}

Gunara, Bobby Eka ^{[2
]}

机构：

[1] Univ Bengkulu, Dept Educ Phys, Kandang Limun 38371, Bengkulu, Indonesia

[2] Inst Teknol Bandung, Dept Phys, Theoret & High Energy Phys Div, Jalan Ganesha 10, Bandung 40132, Indonesia

来源：

PHYSICA SCRIPTA | 2022年 / 97卷 / 06期

关键词：

bound; states; central; relativity; DERIVATION; FORMULA; ORBITS;

D O I：

10.1088/1402-4896/ac7086

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we consider the central force problem in the special theory of relativity. We derive the special relativistic version of the Binet equation describing the orbit of a massive body. Then, the motion of a planet in a solar-like system where the gravitational potential is modified by adding a term that is proportional to the inverse of the square of the radial coordinate is discussed. Using perturbative method, we obtain the explicit orbital function. At the end, the orbital precession of the planet and its relation to the result from general relativity are also discussed.

引用

页数：12

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