Some equilibrium of the restricted three-body problem with axial symmetric primaries and a gyrostat as infinitesimal mass

被引：1

作者：

Tsogas, VG ^{[1
]}

Mavraganis, AG ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Engn Sci, Sect Mech, GR-15773 Athens, Greece

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2003年 / 85卷 / 04期

关键词：

three rigid body problem; gyrostat; equilibrium states;

D O I：

10.1023/A:1022922328755

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The restricted three-body problem is reconsidered by replacing the point-like primaries of the classical problem by a pair of axisymmetric rigid bodies which have a plane of symmetry perpendicular to their axes, and the infinitesimal mass by a gyrostat. The conditions for the circular motion of the primaries around their center of mass are stated and they yield the classification of all possible orientations of these bodies into four groups according to the value of their angular velocity. Then the equations of motion of the gyrostat are derived and solved for the equilibrium configurations of the system.

引用

页码：293 / 309

页数：17

共 50 条

[11] SOME REMARKS ON SYMMETRIC PERIODIC ORBITS IN THE RESTRICTED THREE-BODY PROBLEM
Kang, Jungsoo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (12) : 5229 - 5245
[12] On 'out of plane' equilibrium points in the elliptic restricted three-body problem with radiating and oblate primaries
Singh, Jagadish
Umar, Aishetu
ASTROPHYSICS AND SPACE SCIENCE, 2013, 344 (01) : 13 - 19
[13] On ‘out of plane’ equilibrium points in the elliptic restricted three-body problem with radiating and oblate primaries
Jagadish Singh
Aishetu Umar
Astrophysics and Space Science, 2013, 344 : 13 - 19
[14] Effects of triaxiality of primaries on oblate infinitesimal in elliptical restricted three body problem
Duggad, Poonam
Dewangan, S.
Narayan, A.
NEW ASTRONOMY, 2021, 85
[15] Convergence properties of equilibria in the restricted three-body problem with prolate primaries
Saeed, Tareq
Chen, Wei
Zotos, Euaggelos E.
ASTRONOMISCHE NACHRICHTEN, 2020, 341 (09) : 887 - 898
[16] Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass
Jagadish Singh
Astrophysics and Space Science, 2008, 314 : 281 - 289
[17] Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass
Singh, Jagadish
ASTROPHYSICS AND SPACE SCIENCE, 2008, 314 (04) : 281 - 289
[18] On the equilibrium points of the relativistic restricted three-body problem
Ragos, O
Perdios, EA
Kalantonis, VS
Vrahatis, MN
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3413 - 3418
[19] The Circular Restricted Four-body Problem With Triaxial Primaries and Variable Infinitesimal Mass
Ansari, Abdullah A.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02): : 818 - 838
[20] Libration points of a gyrostat in a generalized restricted three-body problem: Linear stability
Vera, J. A.
Vigueras, A.
ASTRODYNAMICS 2005, VOL 123, PTS 1-3, 2006, 123 : 2775 - +

← 1 2 3 4 5 →