{"title":"用一对球体逼近天体质量分布——以小行星(486958)Arrokoth为例:比较分析","authors":"A. A. Burov, V. I. Nikonov","doi":"10.1134/S0038094624601804","DOIUrl":null,"url":null,"abstract":"<p>The paper considers the problem of modeling the gravitational field of contact binary trans-Neptunian asteroid (486 958) Arrokoth. A so-called gravitating dumbbell is being built—a model of a celestial body that is a pair of gravitating spheres, with the centers separated by a fixed distance. The parameters of the dumbbell are determined in two ways. The first method uses the <i>k</i>-means algorithm, which is known from pattern recognition theory. In the second method, it is assumed that the body possesses dynamic symmetry, and the parameters of the dumbbell are found by solving the so-called moment problem that arises. A comparative analysis of the results is performed.</p>","PeriodicalId":778,"journal":{"name":"Solar System Research","volume":"59 4","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Approximation of Mass Distribution for a Celestial Body by a Pair of Spheres on the Example of Asteroid (486958) Arrokoth: Comparative Analysis\",\"authors\":\"A. A. Burov, V. I. Nikonov\",\"doi\":\"10.1134/S0038094624601804\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The paper considers the problem of modeling the gravitational field of contact binary trans-Neptunian asteroid (486 958) Arrokoth. A so-called gravitating dumbbell is being built—a model of a celestial body that is a pair of gravitating spheres, with the centers separated by a fixed distance. The parameters of the dumbbell are determined in two ways. The first method uses the <i>k</i>-means algorithm, which is known from pattern recognition theory. In the second method, it is assumed that the body possesses dynamic symmetry, and the parameters of the dumbbell are found by solving the so-called moment problem that arises. A comparative analysis of the results is performed.</p>\",\"PeriodicalId\":778,\"journal\":{\"name\":\"Solar System Research\",\"volume\":\"59 4\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-05-13\",\"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/S0038094624601804\",\"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/S0038094624601804","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}
On the Approximation of Mass Distribution for a Celestial Body by a Pair of Spheres on the Example of Asteroid (486958) Arrokoth: Comparative Analysis
The paper considers the problem of modeling the gravitational field of contact binary trans-Neptunian asteroid (486 958) Arrokoth. A so-called gravitating dumbbell is being built—a model of a celestial body that is a pair of gravitating spheres, with the centers separated by a fixed distance. The parameters of the dumbbell are determined in two ways. The first method uses the k-means algorithm, which is known from pattern recognition theory. In the second method, it is assumed that the body possesses dynamic symmetry, and the parameters of the dumbbell are found by solving the so-called moment problem that arises. A comparative analysis of the results is performed.
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.