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

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Dynamical Systems Pub Date : 2023-10-11 DOI:10.1137/23m1551912

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

{"title":"空间受限\\({\\boldsymbol{N+1}}\\) -具有Manev势的体问题中平衡点的稳定性","authors":"Mauricio Ascencio, Esther Barrabés, Josep M. Cors, Claudio Vidal","doi":"10.1137/23m1551912","DOIUrl":null,"url":null,"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.","PeriodicalId":49534,"journal":{"name":"SIAM Journal on Applied Dynamical Systems","volume":"52 1","pages":"0"},"PeriodicalIF":1.7000,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of Equilibrium Points in the Spatially Restricted \\\\({\\\\boldsymbol{N+1}}\\\\) -Body Problem with Manev Potential\",\"authors\":\"Mauricio Ascencio, Esther Barrabés, Josep M. Cors, Claudio Vidal\",\"doi\":\"10.1137/23m1551912\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":49534,\"journal\":{\"name\":\"SIAM Journal on Applied Dynamical Systems\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2023-10-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Journal on Applied Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/23m1551912\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Journal on Applied Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/23m1551912","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

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。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.