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



Nelin. Dinam.:
Year:
Volume:
Issue:
Page:
Find






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


Nelin. Dinam., 2019, Volume 15, Number 4, Pages 505–512 (Mi nd677)  

Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field

O. V. Kholostova

Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia

Abstract: The motion of a solid (satellite) carrying a moving point mass in the central Newtonian gravitational field in an elliptical orbit of arbitrary eccentricity is considered. The law of motion of a point mass is assumed to allow for the existence of relative equilibria of the body-point system in the orbital coordinate system. A nonlinear stability analysis of these equilibria is carried out, based on the construction and normalization of the area-preserving mapping generated by the motions of the system.

Keywords: solid carrying a point mass, elliptical orbit, relative equilibrium, stability, resonance

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00123
This research was supported by the Russian Foundation for Basic Research (project No. 17-01-00123).


DOI: https://doi.org/10.20537/nd190409

Full text: PDF file (348 kB)
References: PDF file   HTML file

MSC: 70H14, 70H15, 70M20
Received: 29.05.2019
Accepted:01.08.2019

Citation: O. V. Kholostova, “Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field”, Nelin. Dinam., 15:4 (2019), 505–512

Citation in format AMSBIB
\Bibitem{Kho19}
\by O. V. Kholostova
\paper Nonlinear Stability Analysis of Relative Equilibria of a Solid Carrying a Movable Point Mass in the Central Gravitational Field
\jour Nelin. Dinam.
\yr 2019
\vol 15
\issue 4
\pages 505--512
\mathnet{http://mi.mathnet.ru/nd677}
\crossref{https://doi.org/10.20537/nd190409}


Linking options:
  • http://mi.mathnet.ru/eng/nd677
  • http://mi.mathnet.ru/eng/nd/v15/i4/p505

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:7
    Full text:2
    References:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020