Periodic solutions near a central libration point in the problem of the motion of a star inside an elliptical galaxy

被引：5

作者：

Gasanov, SA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Sternberg Astron Inst, Moscow 119992, Russia

来源：

ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS | 2003年 / 29卷 / 10期

关键词：

celestial mechanics;

D O I：

10.1134/1.1615338

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the three-dimensional problem of the motion of a star inside an inhomogeneous rotating elliptical galaxy with a homothetic density distribution. We construct and analyze the periodic solutions near a central libration point by using Lyapunov's method. (C) 2003 MAIK "Nauka/Interperiodica".

引用

页码：704 / 711

页数：8

共 50 条

[1] Periodic solutions near a central libration point in the problem of the motion of a star inside an elliptical galaxy
S. A. Gasanov
Astronomy Letters, 2003, 29 : 704 - 711
[2] On the stability of periodic solutions in the problem of the motion of a star inside an elliptical galaxy
Gasanov, S. A.
ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2006, 32 (03): : 192 - 205
[3] On the stability of periodic solutions in the problem of the motion of a star inside an elliptical galaxy
S. A. Gasanov
Astronomy Letters, 2006, 32 : 192 - 205
[4] The libration points for the motion of a star inside an elliptical galaxy
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L. G. Luk'yanov
Astronomy Reports, 2002, 46 : 851 - 857
[5] The libration points for the motion of a star inside an elliptical galaxy
Gasanov, SA
Luk'yanov, LG
ASTRONOMY REPORTS, 2002, 46 (10) : 851 - 857
[6] Periodic motion of a star inside an elliptical galaxy with a variable mass
Gasanov, S. A.
MOSCOW UNIVERSITY PHYSICS BULLETIN, 2009, 64 (02) : 195 - 201
[7] Periodic motion of a star inside an elliptical galaxy with a variable mass
S. A. Gasanov
Moscow University Physics Bulletin, 2009, 64 : 195 - 201
[8] Periodic solutions of the elliptical three-body problem near a triangular libration point
Evteyev, V.P., 1600, (53):
[9] Libration points and the general case in the problem of the motion of a star inside a layered inhomogeneous elliptical galaxy with a variable mass
S. A. Gasanov
Astronomy Letters, 2008, 34 : 179 - 188
[10] Libration points and the general case in the problem of the motion of a star inside a layered inhomogeneous elliptical galaxy with a variable mass
Gasanov, S. A.
ASTRONOMY LETTERS-A JOURNAL OF ASTRONOMY AND SPACE ASTROPHYSICS, 2008, 34 (03): : 179 - 188

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