{"title":"Features of Space Debris Migration in the Earth–Moon System","authors":"T. V. Salnikova, E. I. Kugushev","doi":"10.1134/S0038094624700199","DOIUrl":null,"url":null,"abstract":"<p>The possibility of capturing and releasing cosmic masses is considered within the framework of a plane hyperbolic three-body problem, as well as within the framework of a plane parabolic three-body problem. A mathematical model is proposed that allows us to explain the formation of nonspherical satellites of planets, similar to the Martian satellites Phobos and Deimos, due to the interception or exchange of cosmic masses, and also allows us to understand why there is no space debris of extraterrestrial origin in near-Earth and lunar space. The effect of accumulation of artificial debris in the Earth–Moon system is being studied. The present study is based on a numerical and analytical analysis of certain Chazy classification schemes for final motions in the three-body problem. The three-body boundary value problem is considered, the possibility of the existence of a solution to this problem is shown, and the conditions for the final hyperbolic-ellipticity of motion are obtained. The analytical results are illustrated by numerical simulations.</p>","PeriodicalId":778,"journal":{"name":"Solar System Research","volume":"58 3","pages":"353 - 358"},"PeriodicalIF":0.6000,"publicationDate":"2024-05-20","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/S0038094624700199","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}
引用次数: 0
Abstract
The possibility of capturing and releasing cosmic masses is considered within the framework of a plane hyperbolic three-body problem, as well as within the framework of a plane parabolic three-body problem. A mathematical model is proposed that allows us to explain the formation of nonspherical satellites of planets, similar to the Martian satellites Phobos and Deimos, due to the interception or exchange of cosmic masses, and also allows us to understand why there is no space debris of extraterrestrial origin in near-Earth and lunar space. The effect of accumulation of artificial debris in the Earth–Moon system is being studied. The present study is based on a numerical and analytical analysis of certain Chazy classification schemes for final motions in the three-body problem. The three-body boundary value problem is considered, the possibility of the existence of a solution to this problem is shown, and the conditions for the final hyperbolic-ellipticity of motion are obtained. The analytical results are illustrated by numerical simulations.
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.
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