Perihelion precession in non-Newtonian central potentials

IF 1.8 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Astrophysics and Space Science Pub Date : 2025-04-25 DOI:10.1007/s10509-025-04426-7

Michele Andreoli

引用次数: 0

Abstract

High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form, are calculated in closed form. To validate the method, the series is applied to the specific case of s = 3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s = 4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities.

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非牛顿中心势的近日点进动

通过复杂分析技术，在非牛顿中心势中获得了对近日点前冲的高阶修正。结果是一个精确的级数展开，对于这种形式的扰动，其项是以封闭形式计算的。为了验证该方法，将该数列应用于 s = 3 的特定情况，并将结果与文献中与施瓦兹柴尔德度量相关的结果进行比较。作为进一步测试，还对 s = 4 的情况进行了数值模拟。代数计算和数值模拟是通过具有符号功能的软件进行的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Astrophysics and Space Science 地学天文-天文与天体物理

CiteScore

3.40

自引率

5.30%

发文量

106

审稿时长

2-4 weeks

期刊介绍： Astrophysics and Space Science publishes original contributions and invited reviews covering the entire range of astronomy, astrophysics, astrophysical cosmology, planetary and space science and the astrophysical aspects of astrobiology. This includes both observational and theoretical research, the techniques of astronomical instrumentation and data analysis and astronomical space instrumentation. We particularly welcome papers in the general fields of high-energy astrophysics, astrophysical and astrochemical studies of the interstellar medium including star formation, planetary astrophysics, the formation and evolution of galaxies and the evolution of large scale structure in the Universe. Papers in mathematical physics or in general relativity which do not establish clear astrophysical applications will no longer be considered. The journal also publishes topically selected special issues in research fields of particular scientific interest. These consist of both invited reviews and original research papers. Conference proceedings will not be considered. All papers published in the journal are subject to thorough and strict peer-reviewing. Astrophysics and Space Science features short publication times after acceptance and colour printing free of charge.