{"title":"非经典共轭矢量与定向问题中旋转的极微分方程","authors":"A. Panov, V. V. Tsysarzh","doi":"10.1109/MSNMC.2012.6475114","DOIUrl":null,"url":null,"abstract":"Kinematic and dynamic differential equations of rotation of a rigid body for the \"non-classical\" conjugate three-dimensional vectors of rotation are considered in this article. The vectors modules contain tangent and cotangent of one-fourth of the rotation angle. This paper also delivers applications of the conjugate equations in the problems of orientation of a rigid body.","PeriodicalId":394899,"journal":{"name":"2012 2nd International Conference \"Methods and Systems of Navigation and Motion Control\" (MSNMC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-classical conjugate vectors and polar differential equations of rotation in orientation problem\",\"authors\":\"A. Panov, V. V. Tsysarzh\",\"doi\":\"10.1109/MSNMC.2012.6475114\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Kinematic and dynamic differential equations of rotation of a rigid body for the \\\"non-classical\\\" conjugate three-dimensional vectors of rotation are considered in this article. The vectors modules contain tangent and cotangent of one-fourth of the rotation angle. This paper also delivers applications of the conjugate equations in the problems of orientation of a rigid body.\",\"PeriodicalId\":394899,\"journal\":{\"name\":\"2012 2nd International Conference \\\"Methods and Systems of Navigation and Motion Control\\\" (MSNMC)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 2nd International Conference \\\"Methods and Systems of Navigation and Motion Control\\\" (MSNMC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MSNMC.2012.6475114\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 2nd International Conference \"Methods and Systems of Navigation and Motion Control\" (MSNMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MSNMC.2012.6475114","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Non-classical conjugate vectors and polar differential equations of rotation in orientation problem
Kinematic and dynamic differential equations of rotation of a rigid body for the "non-classical" conjugate three-dimensional vectors of rotation are considered in this article. The vectors modules contain tangent and cotangent of one-fourth of the rotation angle. This paper also delivers applications of the conjugate equations in the problems of orientation of a rigid body.