 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| S.G. Zhuravlev and Yu.V. Perepelkina, "The existence and stability of generalized planar central configurations of the trapezoidal type with a non-spherical body at their centre," J. Appl. Math. Mech. 80 (1), 37-43 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
1 |
Pages |
37-43 |
| DOI |
10.1016/j.jappmathmech.2016.05.007 |
| Title |
The existence and stability of generalized planar central configurations of the trapezoidal type with a non-spherical body at their centre |
| Author(s) |
S.G. Zhuravlev (Moscow Automobile and Road Construction University, Moscow, sergio2009@yandex.ru)
Yu.V. Perepelkina (Moscow Aviation Institute, Moscow) |
| Abstract |
The existence of trapezoidal planar central configurations (CCs) without a central body and with a spherical central body (the classic case), and also with a central body in the form of an ellipsoid, either homogeneous or inhomogeneous but consisting of ellipsoidal layers of constant density (generalized cases), is demonstrated. It is shown that such CCs exist in a heliocentric system of coordinates with mutually perpendicular diagonals of the trapezia, at the vertices of which the remaining bodies are positioned. The stability of the generalized trapezoidal planar CCs is investigated. It is established that most versions of such CCs do not possess Lyapunov stability. |
| Received |
17 September 2014 |
| Link to Fulltext |
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