Abstract

The problem of equimomental systems of a rigid body is considered. It is shown that the system of four equal masses located at the vertices of an isosceles tetrahedron is equimomental to a given rigid body. A system of material points of equal masses located at the vertices of an isosceles tetrahedron, which is equimomental to the nucleus of the 67P Churyumov—Gerasimenko comet, is constructed.

中文翻译：

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等腰四面体和刚体的等动系统

摘要

考虑了刚体的等动系统问题。结果表明，位于等腰四面体顶点的四个相等质量的系统对于给定的刚体是等动的。构造了位于等腰四面体顶点处的等质量质点系统，该四面体与 67P Churyumov-Gerasimenko 彗星的核等动。