{"title":"变质量和小行星带作用下GPCR3BP的运动特性及其相互作用","authors":"Abdullah, Anurag Jain","doi":"10.1134/S106377292306001X","DOIUrl":null,"url":null,"abstract":"<p>The main aim of this paper is to investigate numerically the dynamical motion properties of the infinitesimal body under the various types of perturbations in generalized perturbed circular restricted three-body problem (GPCR3BP). Out of three bodies, one bigger body (known as primary) is taken as oblate in shape with radiation effects, another bigger body (known as secondary) is taken as triaxial in shape with albedo effect and the third body (known as infinitesimal body which is more smaller that the other two bigger bodies) is varying its mass. And also the perturbations due to asteroids belt, interactions between the bodies and the effects of Coriolis as well as centrifugal forces are assumed. Both primaries are moving in circular orbits around the origin which is their common center of mass also. Using the above defined perturbations, we determine the equations of motion and quasi-Jacobian integral for the infinitesimal body. We numerically perform the locations of equilibrium points (in-plane and out-of-plane), regions of motion, Poincaré surfaces of section, periodic orbits, basins of attraction and the stability of the equilibrium points.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"67 6","pages":"655 - 666"},"PeriodicalIF":1.1000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Motion Properties in the GPCR3BP with Their Interactions under the Effects of Variable Mass and Asteroids Belt\",\"authors\":\"Abdullah, Anurag Jain\",\"doi\":\"10.1134/S106377292306001X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The main aim of this paper is to investigate numerically the dynamical motion properties of the infinitesimal body under the various types of perturbations in generalized perturbed circular restricted three-body problem (GPCR3BP). Out of three bodies, one bigger body (known as primary) is taken as oblate in shape with radiation effects, another bigger body (known as secondary) is taken as triaxial in shape with albedo effect and the third body (known as infinitesimal body which is more smaller that the other two bigger bodies) is varying its mass. And also the perturbations due to asteroids belt, interactions between the bodies and the effects of Coriolis as well as centrifugal forces are assumed. Both primaries are moving in circular orbits around the origin which is their common center of mass also. Using the above defined perturbations, we determine the equations of motion and quasi-Jacobian integral for the infinitesimal body. We numerically perform the locations of equilibrium points (in-plane and out-of-plane), regions of motion, Poincaré surfaces of section, periodic orbits, basins of attraction and the stability of the equilibrium points.</p>\",\"PeriodicalId\":55440,\"journal\":{\"name\":\"Astronomy Reports\",\"volume\":\"67 6\",\"pages\":\"655 - 666\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-09-18\",\"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/S106377292306001X\",\"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/S106377292306001X","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}
Motion Properties in the GPCR3BP with Their Interactions under the Effects of Variable Mass and Asteroids Belt
The main aim of this paper is to investigate numerically the dynamical motion properties of the infinitesimal body under the various types of perturbations in generalized perturbed circular restricted three-body problem (GPCR3BP). Out of three bodies, one bigger body (known as primary) is taken as oblate in shape with radiation effects, another bigger body (known as secondary) is taken as triaxial in shape with albedo effect and the third body (known as infinitesimal body which is more smaller that the other two bigger bodies) is varying its mass. And also the perturbations due to asteroids belt, interactions between the bodies and the effects of Coriolis as well as centrifugal forces are assumed. Both primaries are moving in circular orbits around the origin which is their common center of mass also. Using the above defined perturbations, we determine the equations of motion and quasi-Jacobian integral for the infinitesimal body. We numerically perform the locations of equilibrium points (in-plane and out-of-plane), regions of motion, Poincaré surfaces of section, periodic orbits, basins of attraction and the stability of the equilibrium points.
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.