Abdullah, Majhar Ali, Sonia Aneja, Sada Nand Prasad
{"title":"圆形受限三体问题中各种摄动下的运动特性","authors":"Abdullah, Majhar Ali, Sonia Aneja, Sada Nand Prasad","doi":"10.1134/S0038094625600040","DOIUrl":null,"url":null,"abstract":"<p>The aim of this paper is to investigate the motion properties of the infinitesimal variable mass body under the effects of gravitational forces of the primaries and the Poynting–Robertson drag. The equations of motion are determined for the above said perturbations along with those caused by the second primary having modified Newtonian potential. Utilizing these equations of motion, we analytically evaluate the equilibrium points and their stability as well as reveal the numerical study for potential surfaces, equilibrium points, basins of attractions and the stability of equilibrium points. This study presents useful insights for understanding the impact of various perturbations on the motion of small particles in a system and provides the impetus for innovative research in the field of dynamical astronomy and celestial mechanics.</p>","PeriodicalId":778,"journal":{"name":"Solar System Research","volume":"59 6","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Motion Properties under Various Perturbations in the Circular Restricted 3-Body Problem\",\"authors\":\"Abdullah, Majhar Ali, Sonia Aneja, Sada Nand Prasad\",\"doi\":\"10.1134/S0038094625600040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The aim of this paper is to investigate the motion properties of the infinitesimal variable mass body under the effects of gravitational forces of the primaries and the Poynting–Robertson drag. The equations of motion are determined for the above said perturbations along with those caused by the second primary having modified Newtonian potential. Utilizing these equations of motion, we analytically evaluate the equilibrium points and their stability as well as reveal the numerical study for potential surfaces, equilibrium points, basins of attractions and the stability of equilibrium points. This study presents useful insights for understanding the impact of various perturbations on the motion of small particles in a system and provides the impetus for innovative research in the field of dynamical astronomy and celestial mechanics.</p>\",\"PeriodicalId\":778,\"journal\":{\"name\":\"Solar System Research\",\"volume\":\"59 6\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Solar System Research\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0038094625600040\",\"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":"Solar System Research","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0038094625600040","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}
Motion Properties under Various Perturbations in the Circular Restricted 3-Body Problem
The aim of this paper is to investigate the motion properties of the infinitesimal variable mass body under the effects of gravitational forces of the primaries and the Poynting–Robertson drag. The equations of motion are determined for the above said perturbations along with those caused by the second primary having modified Newtonian potential. Utilizing these equations of motion, we analytically evaluate the equilibrium points and their stability as well as reveal the numerical study for potential surfaces, equilibrium points, basins of attractions and the stability of equilibrium points. This study presents useful insights for understanding the impact of various perturbations on the motion of small particles in a system and provides the impetus for innovative research in the field of dynamical astronomy and celestial mechanics.
期刊介绍:
Solar System Research publishes articles concerning the bodies of the Solar System, i.e., planets and their satellites, asteroids, comets, meteoric substances, and cosmic dust. The articles consider physics, dynamics and composition of these bodies, and techniques of their exploration. The journal addresses the problems of comparative planetology, physics of the planetary atmospheres and interiors, cosmochemistry, as well as planetary plasma environment and heliosphere, specifically those related to solar-planetary interactions. Attention is paid to studies of exoplanets and complex problems of the origin and evolution of planetary systems including the solar system, based on the results of astronomical observations, laboratory studies of meteorites, relevant theoretical approaches and mathematical modeling. Alongside with the original results of experimental and theoretical studies, the journal publishes scientific reviews in the field of planetary exploration, and notes on observational results.