 | | 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) |
Archive of Issues
| Total articles in the database: | | 10554 |
| In Russian (ΟΜΜ): | | 9755
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << 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 |
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| << Previous article | Volume 76, Issue 4 / 2012 | Next article >> |
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