 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| V.V. Anikovskii and S.G. Zhuravlev, "Euler's problem and its applications in celestial mechanics and space dynamics," J. Appl. Math. Mech. 75 (6), 660-666 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
6 |
Pages |
660-666 |
| Title |
Euler's problem and its applications in celestial mechanics and space dynamics |
| Author(s) |
V.V. Anikovskii (Moscow, Russia)
S.G. Zhuravlev (Moscow, Russia, sergio2009@yandex.ru) |
| Abstract |
The numerous generalizations of the classical problem of two fixed centres are analysed, starting from the formulation of the problem and its solution by Euler in 1760 to the present day. The role played by numerous researchers in analysing this problem is noted. The publications cited indicate conclusively that the main results of generalizations of the problem and analytical and qualitative investigations had already been obtained in the nineteenth century and at the beginning of the twentieth century. Present-day researchers can only lay claim to a few occasionally productive and at the same time effective applications of individual generalizations (the Gredeaks problem, for example). |
| Received |
08 December 2010 |
| Link to Fulltext |
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