Isosceles tetrahedron and an equimomental system of a rigid body

Authors

  • Ekaterina A. Nikonova Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44/2, ul. Vavilova, Moscow, 119333, Russian Federation

DOI:

https://doi.org/10.21638/spbu01.2023.113

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 of cometary nuclei of 67P Churyumov-Gerasimenko, has been constructed.

Keywords:

moments of inertia of a rigid body, equimomental systems of rigid bodies, isosceles tetrahedron, comet 67P Churyumov-Gerasimenko

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Published

2023-03-03

How to Cite

Nikonova, E. A. (2023). Isosceles tetrahedron and an equimomental system of a rigid body. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10(1), 155–164. https://doi.org/10.21638/spbu01.2023.113

Issue

Vol. 10 No. 1 (2023)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.