{"title":"共面情况下初始轨道的确定","authors":"V. B. Kuznetsov","doi":"10.1134/S0038094624602068","DOIUrl":null,"url":null,"abstract":"<p>An algorithm for finding a solution to determine a preliminary orbit with a very small inclination to the ecliptic plane is proposed. The method proposed by the author is based on solving a system of transcendental equations for three variables. Solutions to the system are found by searching for the minima of the objective function using the Nelder–Mead method for a simplex. As an example, the results of determining the orbit of asteroid 255 447 (2005 YN24) are given.</p>","PeriodicalId":778,"journal":{"name":"Solar System Research","volume":"59 6","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Determination of the Preliminary Orbit in the Coplanar Case\",\"authors\":\"V. B. Kuznetsov\",\"doi\":\"10.1134/S0038094624602068\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>An algorithm for finding a solution to determine a preliminary orbit with a very small inclination to the ecliptic plane is proposed. The method proposed by the author is based on solving a system of transcendental equations for three variables. Solutions to the system are found by searching for the minima of the objective function using the Nelder–Mead method for a simplex. As an example, the results of determining the orbit of asteroid 255 447 (2005 YN24) are given.</p>\",\"PeriodicalId\":778,\"journal\":{\"name\":\"Solar System Research\",\"volume\":\"59 6\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-06-23\",\"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/S0038094624602068\",\"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/S0038094624602068","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}
Determination of the Preliminary Orbit in the Coplanar Case
An algorithm for finding a solution to determine a preliminary orbit with a very small inclination to the ecliptic plane is proposed. The method proposed by the author is based on solving a system of transcendental equations for three variables. Solutions to the system are found by searching for the minima of the objective function using the Nelder–Mead method for a simplex. As an example, the results of determining the orbit of asteroid 255 447 (2005 YN24) are given.
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.