Wrong hypotheses in the generalized RTBP

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

Astrophysics and Space Science Pub Date : 2024-02-22 DOI:10.1007/s10509-024-04286-7

Antonio Elipe

引用次数: 0

Abstract

Generalized restricted three body problems consist of adding some extra hypotheses to the Restricted three body problem (RTBP) in order to have a new problem, not very different of the original RTBP. However, not any additional hypothesis is allowed; it must satisfy the laws of Physics. Among the several generalizations found in literature, we prove that at least there are two hypotheses that cannot be used, namely: 1) Perturbation in Coriolis and/or centrifugal forces, and 2) primaries are spheroids moving on elliptical orbits.

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广义 RTBP 中的错误假设

广义受限三体问题是在受限三体问题（RTBP）的基础上增加一些额外的假设，从而得到一个与原始 RTBP 没有太大区别的新问题。但是，不允许有任何额外的假设；这些假设必须符合物理定律。在文献中发现的几种概括中，我们证明至少有两种假设不能使用，即1) 科里奥利力和/或离心力的扰动，以及 2) 主星是在椭圆轨道上运动的球体。

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.