Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-11 DOI:10.1137/23m1551912

Mauricio Ascencio, Esther Barrabés, Josep M. Cors, Claudio Vidal

引用次数: 0

Abstract

We study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential , , where is a parameter related to the oblaticity or radiation source (according to the sign of the parameter ). Specifically, we investigate the relative equilibria of the infinitesimal mass and their linear stability as functions of the parameter and the mass parameter , the ratio of mass of the central body to the mass of one of the remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.

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空间受限\({\boldsymbol{N+1}}\) -具有Manev势的体问题中平衡点的稳定性

我们研究了一个无限小的质量在平面环状结构中排列的初等质点的引力作用下的动力学，加上具有马尼夫势的中心质量的影响，其中是与倾角或辐射源相关的参数(根据参数的符号)。具体地说，我们研究了无穷小质量的相对平衡及其线性稳定性，作为参数和质量参数的函数，中心物体的质量与其余物体的质量之比。我们还证明了中心物体与无限小质量之间不存在二元碰撞。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.