PERIODIC ORBITS FOR THE PERTURBED PLANAR CIRCULAR RESTRICTED 3-BODY PROBLEM

被引：42

作者：

Abouelmagd, Elbaz, I ^{[1
,2
]}

Garcia Guirao, Juan Luis ^{[3
]}

Libre, Jaume L. ^{[4
]}

机构：

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

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

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

[4] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 03期

关键词：

Periodic orbits continuation; circular restricted 3-body problem; perturbed forces; zonal harmonic; solar sail; NUMERICAL-INTEGRATION; GLOBAL FLOW; STABILITY; EXISTENCE; FAMILIES; POINTS;

D O I：

10.3934/dcdsb.2019003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize when the classical first and second kind of periodic orbits of the planar circular restricted 3-body problem obtained by Poincare, can be extended to perturbed planar circular restricted 3-body problems. We put special emphasis when the perturbed forces are due to zonal harmonic or to a solar sail.

引用

页码：1007 / 1020

页数：14

共 48 条

[1]

Abouelmagd E.I., 2016, Appl. Math. Nonlinear Sci, V1, P123, DOI [10.21042/AMNS.2016.1.00010, DOI 10.21042/AMNS.2016.1.00010]

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

Abouelmagd, Elbaz I. ;

Alhothuali, M. S. ;

Guirao, Juan L. G. ;

Malaikah, H. M. .

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

[3] 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

[4] Existence and stability of triangular points in the restricted three-body problem with numerical applications [J].

Abouelmagd, Elbaz I. .

ASTROPHYSICS AND SPACE SCIENCE, 2012, 342 (01) :45-53

[5] Heteroclinic orbits and Bernoulli shift for the elliptic collision restricted three-body problem [J].

Alvarez, M ;

Llibre, J .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 156 (04) :317-357

[6]

[Anonymous], 1966, AM MATH SOC C PUBLIC

[7]

[Anonymous], 1899, METHODES NOUVELLES M

[8] Numerical integration of dynamical systems with Lie series Relativistic acceleration and non-gravitational forces [J].

Bancelin, D. ;

Hestroffer, D. ;

Thuillot, W. .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2012, 112 (02) :221-234

[9] EXISTENCE OF PERIODIC ORBITS OF SECOND KIND IN RESTRICTED PROBLEM OF 3 BODIES [J].

BARRAR, RB .

ASTRONOMICAL JOURNAL, 1965, 70 (01) :3-&

[10] ON THE FAMILIES OF PERIODIC-ORBITS WHICH BIFURCATE FROM THE CIRCULAR SITNIKOV MOTIONS [J].

BELBRUNO, E ;

LLIBRE, J ;

OLLE, M .

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1994, 60 (01) :99-129

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