{"title":"用幂级数直接求和法求解自由对称体的欧拉-泊松方程的一般解法","authors":"Guilherme Corrêa Silva","doi":"arxiv-2407.10326","DOIUrl":null,"url":null,"abstract":"Euler-Poisson equations belong to the class of first-order differential\nequations for determining the integral lines of a given vector field. The\ngeneral solution to these equations can be written as a power series of the\nevolution parameter. We calculated the sum of these series for the case of a\nfree symmetric body, obtaining its rotation matrix through the elementary\nfunctions.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series\",\"authors\":\"Guilherme Corrêa Silva\",\"doi\":\"arxiv-2407.10326\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Euler-Poisson equations belong to the class of first-order differential\\nequations for determining the integral lines of a given vector field. The\\ngeneral solution to these equations can be written as a power series of the\\nevolution parameter. We calculated the sum of these series for the case of a\\nfree symmetric body, obtaining its rotation matrix through the elementary\\nfunctions.\",\"PeriodicalId\":501482,\"journal\":{\"name\":\"arXiv - PHYS - Classical Physics\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Classical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.10326\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.10326","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series
Euler-Poisson equations belong to the class of first-order differential
equations for determining the integral lines of a given vector field. The
general solution to these equations can be written as a power series of the
evolution parameter. We calculated the sum of these series for the case of a
free symmetric body, obtaining its rotation matrix through the elementary
functions.
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