{"title":"中心牛顿力场中等腰四面体的旋转:Staude锥","authors":"A. A. Burov, E. A. Nikonova","doi":"10.3103/S0027133021050034","DOIUrl":null,"url":null,"abstract":"<p>The Staude cone is considered in the problem of motion of a homogeneous isosceles tetrahedron in a central Newtonian force field. The nature of the Staude cone degeneracy is studied for the case when an isosceles tetrahedron is close to regular. It is shown how the Staude cone equations can be obtained within the framework of the Routh theory.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 5","pages":"123 - 129"},"PeriodicalIF":0.3000,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone\",\"authors\":\"A. A. Burov, E. A. Nikonova\",\"doi\":\"10.3103/S0027133021050034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The Staude cone is considered in the problem of motion of a homogeneous isosceles tetrahedron in a central Newtonian force field. The nature of the Staude cone degeneracy is studied for the case when an isosceles tetrahedron is close to regular. It is shown how the Staude cone equations can be obtained within the framework of the Routh theory.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"76 5\",\"pages\":\"123 - 129\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-02-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Mechanics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027133021050034\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133021050034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone
The Staude cone is considered in the problem of motion of a homogeneous isosceles tetrahedron in a central Newtonian force field. The nature of the Staude cone degeneracy is studied for the case when an isosceles tetrahedron is close to regular. It is shown how the Staude cone equations can be obtained within the framework of the Routh theory.
期刊介绍:
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.