Preprints of the Keldysh Institute of Applied Mathematics
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



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






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


Preprints of the Keldysh Institute of Applied Mathematics, 1995, 027 (Mi ipmp1643)  

Coefficients of an Averaged Equation of Satellite Oscillations

S. Y. Sadov
Abstract: We consider an averaged equation of oscillations of an almost symmetric satellite in a plane of its elliptic orbit with the eccentricity e close to 1. The right-hand side of the equation is a series in powers of a small parameter $\mu$. We study analytically the behaviour of its coefficients at powers of $\mu$ up to the third one as e \to 1. A regular for e $\approx$ 1 method of computing the coefficients is offered. Obtained results are applied for finding the bifurcation line (i.e. the boundary of the of stability region of odd periodic solutions), which enters the point $\mu$ = 0, e = 1.
Document Type: Preprint
Language: Russian
Citation: S. Y. Sadov, “Coefficients of an Averaged Equation of Satellite Oscillations”, Keldysh Institute preprints, 1995, 027
Citation in format AMSBIB
\Bibitem{Sad95}
\by S.~Y.~Sadov
\paper Coefficients of an Averaged Equation of Satellite Oscillations
\jour Keldysh Institute preprints
\yr 1995
\papernumber 027
\mathnet{http://mi.mathnet.ru/ipmp1643}
Linking options:
  • https://www.mathnet.ru/eng/ipmp1643
  • https://www.mathnet.ru/eng/ipmp/y1995/p27
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:72
    Full-text PDF :7
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024