Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences		 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)
Russian Russian English English About Journal | Issues | Editorial Board | Contact Us
 
Issues > Archive of Issues > 2012-4 > pp.423-434

Archive of Issues

Total articles in the database: 10543
In Russian (ПММ): 9744
In English (J. Appl. Math. Mech.): 799
<< Previous article | Volume 76, Issue 4 / 2012 | Next article >>
M.M. Shunderyuk, "Hamiltonian normal forms in the neighbourhoods of collinear libration points in the restricted circular three body problem," J. Appl. Math. Mech. 76 (4), 423-434 (2012)
Year 2012 Volume 76 Issue 4 Pages 423-434
Title Hamiltonian normal forms in the neighbourhoods of collinear libration points in the restricted circular three body problem
Author(s) M.M. Shunderyuk (Moscow, Russia, shunderyuk@gmail.com)
Abstract The fourth-degree Hamiltonian normal forms in the neighbourhoods of the collinear libration points in the restricted plane circular three-body problem are found using an invariant normalization algorithm. Exact relations between the coefficients of the normal forms and the ratio of the masses of the heavy bodies are obtained. The subspaces of the phase variables, the initial values of which determine the periodic trajectories in the neighbourhoods of the libration points, are found.
Received 24 May 2011
Link to Fulltext
<< Previous article | Volume 76, Issue 4 / 2012 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia • (+7 495) 434-2149 • pmm@ipmnet.ru • pmmedit@ipmnet.ru • https://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS 		© Journal of Applied Mathematics and Mechanics
webmaster		 Rambler's Top100