ON THE STABILITY OF THE LAGRANGIAN POINTS IN THE SPATIAL RESTRICTED PROBLEM OF THREE BODIES

被引：0

作者：

Celletti, Alessandra ^{[1
]}

Giorgilli, Antonio ^{[2
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Coppito, Italy

[2] Dipartimento Matemat, I-20133 Milan, Italy

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1990年 / 50卷 / 01期

关键词：

Three body problem; Lagrangian points; Nonlinear stability;

D O I：

暂无

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The problem of stabihty of the Lagrangian equilibrium point of the circular restricted problem of three bodies is investigated in the light of Nekhoroshev-like theory. Looking for stability over a time interval of the order of the estimated age of the universe, we find a physically relevant stability region. An application of the method to the Sun-Jupiter and the Earth-Moon systems is made. Moreover, we try to compare the size of our stability region with that of the region where the Trojan asteroids are actually found; the result in such case is negative, thus leaving open the problem of the stability of these asteroids.

引用

页码：31 / 58

页数：28

共 50 条

[21] Stability of triangular libration points in the restricted three body problem when both the primaries are triaxial rigid bodies
Sharma, RK
Taqvi, ZA
Bhatnagar, KB
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (09): : 1367 - 1389
[22] Existence and Stability of Libration Points in the Restricted Three-Body Problem When the Primaries are Triaxial Rigid Bodies
Ravinder Kumar Sharma
Z. A. Taqvi
K. B. Bhatnagar
Celestial Mechanics and Dynamical Astronomy, 2001, 79 : 119 - 133
[23] COMMENTS ON THE PAPER "ON THE STABILITY OF TRIANGULAR LAGRANGIAN POINTS IN THE RESTRICTED THREE-BODY PROBLEM" (2008, AJ, 135, 187)
Ivanov, A. P.
ASTRONOMICAL JOURNAL, 2009, 137 (06): : 4597 - 4597
[24] The Restricted Three -Body Problem. Comments on the `Spatial' Equilibrium Points
Rodica Roman
Astrophysics and Space Science, 2001, 275 : 425 - 429
[25] On the Stability of Equilibrium Points in the Relativistic Restricted Three-Body Problem
C.N. Douskos
E.A. Perdios
Celestial Mechanics and Dynamical Astronomy, 2002, 82 : 317 - 321
[26] Stability of equilibrium points in the restricted full three-body problem
Bellerose, J.
Scheeres, D. J.
ACTA ASTRONAUTICA, 2007, 60 (03) : 141 - 152
[27] On the stability of equilibrium points in the relativistic restricted three-body problem
Douskos, CN
Perdios, EA
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2002, 82 (04): : 317 - 321
[28] ABOUT STABILITY OF LIBRATION POINTS IN THE RESTRICTED PHOTOGRAVITATIONAL THREE BODY PROBLEM
Gozdziewski, Krzysztof
Maciejewski, Andrzej J.
Niedzielska, Zuzanna
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1991, 52 (02): : 195 - 201
[29] Existence and stability of libration points in the restricted three body problem when the primaries are triaxial rigid bodies and source of radiations
Sharma, RK
Taqvi, ZA
Bhatnagar, KB
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (07): : 981 - 994
[30] STABILITY OF POINTS OF EQUILIBRIUM IN RESTRICTED PROBLEM
SZEBEHELY, V
ASTRONOMICAL JOURNAL, 1967, 72 (01): : 7 - +

← 1 2 3 4 5 →