{"title":"开普勒方程解及其类似解的解析图像","authors":"M. Vavrukh, D. Dzikovskyi","doi":"10.31577/caosp.2023.53.1.58","DOIUrl":null,"url":null,"abstract":". Approximate, but highly accurate analytical solutions of Kepler’s equation were found by reducing it to an algebraic equation. With the help of this approach and usage of the iterative algorithm there were obtained solutions of a similar equation for the hyperbolic motion near the orbit pericenter","PeriodicalId":50617,"journal":{"name":"Contributions of the Astronomical Observatory Skalnate Pleso","volume":"1 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytical images of Kepler's equation solutions and its analogues\",\"authors\":\"M. Vavrukh, D. Dzikovskyi\",\"doi\":\"10.31577/caosp.2023.53.1.58\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Approximate, but highly accurate analytical solutions of Kepler’s equation were found by reducing it to an algebraic equation. With the help of this approach and usage of the iterative algorithm there were obtained solutions of a similar equation for the hyperbolic motion near the orbit pericenter\",\"PeriodicalId\":50617,\"journal\":{\"name\":\"Contributions of the Astronomical Observatory Skalnate Pleso\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contributions of the Astronomical Observatory Skalnate Pleso\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.31577/caosp.2023.53.1.58\",\"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":"Contributions of the Astronomical Observatory Skalnate Pleso","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.31577/caosp.2023.53.1.58","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}
Analytical images of Kepler's equation solutions and its analogues
. Approximate, but highly accurate analytical solutions of Kepler’s equation were found by reducing it to an algebraic equation. With the help of this approach and usage of the iterative algorithm there were obtained solutions of a similar equation for the hyperbolic motion near the orbit pericenter
期刊介绍:
Contributions of the Astronomical Observatory Skalnate Pleso" (CAOSP) is published by the Astronomical Institute of the Slovak Academy of Sciences (SAS). The journal publishes new results of astronomical and astrophysical research, preferentially covering the fields of Interplanetary Matter, Stellar Astrophysics and Solar Physics. We publish regular papers, expert comments and review contributions.