Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, Volume 10, Issue 1, Pages 155–164
DOI: https://doi.org/10.21638/spbu01.2023.113 (Mi vspua228) 		 
This article is cited in 5 scientific papers (total in 5 papers)

MECHANICS

Isosceles tetrahedron and an equimomental system of a rigid body

E. A. Nikonova

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44/2, ul. Vavilova, Moscow, 119333, Russian Federation
Full-text PDF (589 kB) Citations (5)
References:
PDF
HTML
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.
Received: 31.05.2022
Revised: 20.08.2022
Accepted: 08.09.2022
English version:
Vestnik St. Petersburg University, Mathematics, 2023, Volume 56, Issue 1, Pages 119–124
DOI: https://doi.org/10.1134/S1063454123010107
Document Type: Article
UDC: 531.36
MSC: 2010, 70E15
Language: Russian
Citation: E. A. Nikonova, “Isosceles tetrahedron and an equimomental system of a rigid body”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:1 (2023), 155–164; Vestn. St. Petersbg. Univ., Math., 56:1 (2023), 119–124
Citation in format AMSBIB
\Bibitem{Nik23}
\by E.~A.~Nikonova
\paper Isosceles tetrahedron and an equimomental system of a rigid body
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2023
\vol 10
\issue 1
\pages 155--164
\mathnet{http://mi.mathnet.ru/vspua228}
\crossref{https://doi.org/10.21638/spbu01.2023.113}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2023
\vol 56
\issue 1
\pages 119--124
\crossref{https://doi.org/10.1134/S1063454123010107}
Linking options:
  • https://www.mathnet.ru/eng/vspua228
  • https://www.mathnet.ru/eng/vspua/v10/i1/p155
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025