Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 6, Pages 37–41 (Mi vmumm280)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics

An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction

E. I. Kugushev, V. I. Nikonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (308 kB) Citations (2)
References:
PDF
HTML
Abstract: We study the problem of the planar motion of a rigid body with a discrete mass distribution and a material point under the action of mutual attraction. There are exist stationary configurations of the system when the mass of the point is negligible and the body rotates about its center of gravity with a non-zero angular velocity and when the body and the material point are in interaction. It is shown that in such systems there are always at least two different positions of relative equilibrium.
Key words: gravitating systems, relative equilibria.
Funding agency Grant number
Russian Foundation for Basic Research 12-08-00591
12-01-00441
Received: 27.10.2014
English version:
Moscow University Mechanics Bulletin, 2015, Volume 70, Issue 6, Pages 144–148
DOI: https://doi.org/10.3103/S0027133015060023
Bibliographic databases:
Document Type: Article
UDC: 531.5
Language: Russian
Citation: E. I. Kugushev, V. I. Nikonov, “An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 37–41; Moscow University Mechanics Bulletin, 70:6 (2015), 144–148
Citation in format AMSBIB
\Bibitem{KugNik15}
\by E.~I.~Kugushev, V.~I.~Nikonov
\paper An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2015
\issue 6
\pages 37--41
\mathnet{http://mi.mathnet.ru/vmumm280}
\zmath{https://zbmath.org/?q=an:1371.70060}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2015
\vol 70
\issue 6
\pages 144--148
\crossref{https://doi.org/10.3103/S0027133015060023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000420282800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961373801}
Linking options:
  • https://www.mathnet.ru/eng/vmumm280
  • https://www.mathnet.ru/eng/vmumm/y2015/i6/p37
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:88
    Full-text PDF :26
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024