{"title":"应用于圆轨道运动的数值方法的稳定性","authors":"Huang Tian-yi, Ding Hua","doi":"10.1016/0146-6364(80)90058-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we discuss the numerical stability of Cowell's method when applied to the Keplerian circular motion. The critical stepsize <em>h</em><sub><em>m</em></sub> is given for the PE, PECE and CE algorithms of various orders. A comparison of our results with others' shows our method to be more precise.</p></div>","PeriodicalId":100241,"journal":{"name":"Chinese Astronomy","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0146-6364(80)90058-4","citationCount":"1","resultStr":"{\"title\":\"Stability of numerical method as applied to motion in a circular orbit\",\"authors\":\"Huang Tian-yi, Ding Hua\",\"doi\":\"10.1016/0146-6364(80)90058-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we discuss the numerical stability of Cowell's method when applied to the Keplerian circular motion. The critical stepsize <em>h</em><sub><em>m</em></sub> is given for the PE, PECE and CE algorithms of various orders. A comparison of our results with others' shows our method to be more precise.</p></div>\",\"PeriodicalId\":100241,\"journal\":{\"name\":\"Chinese Astronomy\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0146-6364(80)90058-4\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0146636480900584\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0146636480900584","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of numerical method as applied to motion in a circular orbit
In this paper we discuss the numerical stability of Cowell's method when applied to the Keplerian circular motion. The critical stepsize hm is given for the PE, PECE and CE algorithms of various orders. A comparison of our results with others' shows our method to be more precise.
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