{"title":"光引力轴对称受限五体问题","authors":"Prachi Sachan, Rajiv Aggarwal, Amit Mittal","doi":"10.1134/S1063772924600213","DOIUrl":null,"url":null,"abstract":"<p>In the framework of photogravitational axisymmetric restricted five-body problem (PAR5BP), the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analyzed numerically along with good agreement of the graphical results. We have determined the dynamics of the infinitesimal mass in the PAR5BP. We have determined the locations of the libration points (LPs) in the convex configuration. Further, the parametric evolution of the equilibrium points as the function of radiation parameter has been shown. The stability along with the zero velocity surface associated with the libration points are also investigated. It has been observed that none of the libration point is stable for any value of considered parameters.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"69 1","pages":"45 - 57"},"PeriodicalIF":1.1000,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Photogravitational Axisymmetric Restricted Five-Body Problem\",\"authors\":\"Prachi Sachan, Rajiv Aggarwal, Amit Mittal\",\"doi\":\"10.1134/S1063772924600213\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the framework of photogravitational axisymmetric restricted five-body problem (PAR5BP), the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analyzed numerically along with good agreement of the graphical results. We have determined the dynamics of the infinitesimal mass in the PAR5BP. We have determined the locations of the libration points (LPs) in the convex configuration. Further, the parametric evolution of the equilibrium points as the function of radiation parameter has been shown. The stability along with the zero velocity surface associated with the libration points are also investigated. It has been observed that none of the libration point is stable for any value of considered parameters.</p>\",\"PeriodicalId\":55440,\"journal\":{\"name\":\"Astronomy Reports\",\"volume\":\"69 1\",\"pages\":\"45 - 57\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-04-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astronomy Reports\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063772924600213\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomy Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063772924600213","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Photogravitational Axisymmetric Restricted Five-Body Problem
In the framework of photogravitational axisymmetric restricted five-body problem (PAR5BP), the existence and stability of the in-plane equilibrium points, the possible regions for motion are explored and analyzed numerically along with good agreement of the graphical results. We have determined the dynamics of the infinitesimal mass in the PAR5BP. We have determined the locations of the libration points (LPs) in the convex configuration. Further, the parametric evolution of the equilibrium points as the function of radiation parameter has been shown. The stability along with the zero velocity surface associated with the libration points are also investigated. It has been observed that none of the libration point is stable for any value of considered parameters.
期刊介绍：
Astronomy Reports is an international peer reviewed journal that publishes original papers on astronomical topics, including theoretical and observational astrophysics, physics of the Sun, planetary astrophysics, radio astronomy, stellar astronomy, celestial mechanics, and astronomy methods and instrumentation.
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