On the libration collinear points in the restricted three-body problem

被引：41

作者：

Alzahrani, F. ^{[1
]}

Abouelmagd, Elbaz I. ^{[2
]}

Guirao, Juan L. G. ^{[3
]}

Hobiny, A. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia

[2] NRIAG, Astron Dept, Celestial Mech Unit, Cairo 11421, Egypt

[3] Univ Politecn Carta Hosp Marina, Dept Matemat Aplicada Estadist, Cartagena 30203, Region De Murci, Spain

来源：

OPEN PHYSICS | 2017年 / 15卷 / 01期

关键词：

Restricted three-body problem; triaxial rigid bodies; libration points; stability; TRIAXIAL RIGID BODIES; EQUILIBRIUM POINTS; PERIODIC-ORBITS; TRIANGULAR POINTS; STABILITY; OBLATENESS; PRIMARIES; EXISTENCE; RADIATION;

D O I：

10.1515/phys-2017-0007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the restricted problem of three bodies when the primaries are triaxial rigid bodies, the necessary and sufficient conditions to find the locations of the three libration collinear points are stated. In addition, the Linear stability of these points is studied for the case of the Euler angles of rotational motion being theta(i) = 0, psi(i) + phi(i) = pi/2, i = 1, 2 accordingly. We underline that the model studied in this paper has special importance in space dynamics when the third body moves in gravitational fields of planetary systems and particularly in a Jupiter model or a problem including an irregular asteroid.

引用

页码：58 / 67

页数：10

共 28 条

[1]

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[2]

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Abouelmagd, Elbaz I. ;

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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (14)

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Abouelmagd, Elbaz I. ;

Mostafa, A. .

ASTROPHYSICS AND SPACE SCIENCE, 2015, 357 (01)

[7] The effect of zonal harmonic coefficients in the framework of the restricted three-body problem [J].

Abouelmagd, Elbaz I. ;

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Malaikah, H. M. .

ADVANCES IN SPACE RESEARCH, 2015, 55 (06) :1660-1672

[8] Numerical integration of the restricted three-body problem with Lie series [J].

Abouelmagd, Elbaz I. ;

Guirao, Juan L. G. ;

Mostafa, A. .

ASTROPHYSICS AND SPACE SCIENCE, 2014, 354 (02) :369-378

[9] Reduction the secular solution to periodic solution in the generalized restricted three-body problem [J].

Abouelmagd, Elbaz I. ;

Awad, M. E. ;

Elzayat, E. M. A. ;

Abbas, Ibrahim A. .

ASTROPHYSICS AND SPACE SCIENCE, 2014, 350 (02) :495-505

[10] The effect of oblateness in the perturbed restricted three-body problem [J].

Abouelmagd, Elbaz I. ;

Asiri, H. M. ;

Sharaf, M. A. .

MECCANICA, 2013, 48 (10) :2479-2490

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