{"title":"光引力椭圆型受限三体问题的李级数解","authors":"A. Chakraborty, R. R. Dewangan, M. D. Pandey","doi":"10.1007/s10511-025-09875-0","DOIUrl":null,"url":null,"abstract":"<p>In this paper we have undertaken the study of systems with both radiating primaries in the frame work of elliptic restricted three body problem where the orbits of the two massive bodies about each other is assumed to be elliptic and the mass of the third body is negligible. In order to determine the problem's solution, we expand the formulation of the iterative expression for the Lie series terms. The impact of the primaries' radiation pressure on the orbit is depicted graphically in the Lie series solution of triangular equilibrium point <i>L</i><sub>4</sub>.</p>","PeriodicalId":479,"journal":{"name":"Astrophysics","volume":"68 2","pages":"310 - 322"},"PeriodicalIF":0.7000,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lie Series Solution for Photogravitational Elliptic Restricted Three Body Problem\",\"authors\":\"A. Chakraborty, R. R. Dewangan, M. D. Pandey\",\"doi\":\"10.1007/s10511-025-09875-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper we have undertaken the study of systems with both radiating primaries in the frame work of elliptic restricted three body problem where the orbits of the two massive bodies about each other is assumed to be elliptic and the mass of the third body is negligible. In order to determine the problem's solution, we expand the formulation of the iterative expression for the Lie series terms. The impact of the primaries' radiation pressure on the orbit is depicted graphically in the Lie series solution of triangular equilibrium point <i>L</i><sub>4</sub>.</p>\",\"PeriodicalId\":479,\"journal\":{\"name\":\"Astrophysics\",\"volume\":\"68 2\",\"pages\":\"310 - 322\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astrophysics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10511-025-09875-0\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrophysics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10511-025-09875-0","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Lie Series Solution for Photogravitational Elliptic Restricted Three Body Problem
In this paper we have undertaken the study of systems with both radiating primaries in the frame work of elliptic restricted three body problem where the orbits of the two massive bodies about each other is assumed to be elliptic and the mass of the third body is negligible. In order to determine the problem's solution, we expand the formulation of the iterative expression for the Lie series terms. The impact of the primaries' radiation pressure on the orbit is depicted graphically in the Lie series solution of triangular equilibrium point L4.
期刊介绍:
Astrophysics (Ap) is a peer-reviewed scientific journal which publishes research in theoretical and observational astrophysics. Founded by V.A.Ambartsumian in 1965 Astrophysics is one of the international astronomy journals. The journal covers space astrophysics, stellar and galactic evolution, solar physics, stellar and planetary atmospheres, interstellar matter. Additional subjects include chemical composition and internal structure of stars, quasars and pulsars, developments in modern cosmology and radiative transfer.