On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

被引：6

作者：

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

Guirao, Juan Luis Garcia ^{[2
]}

Llibre, Jaume ^{[3
]}

机构：

[1] Natl Res Inst Astron & Geophys NRIAG, Astron Dept, Celestial Mech & Space Dynam Res Grp CMSDRG, Helwan 11421, Cairo, Egypt

[2] Univ Politecn Cartagena, Hosp Marina, Dept Matemat Aplicada & Estadist, Cartagena 30203, Spain

[3] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain

来源：

GALAXIES | 2023年 / 11卷 / 02期

基金：

欧盟地平线“2020”;

关键词：

restricted 3-body problem; first- (second)-type periodic orbits; conservative forces; first integral of motion; RESTRICTED PROBLEM; TRIANGULAR POINTS; LIBRATION POINTS; 2ND KIND; BODIES; RADIATION; STABILITY; EXISTENCE; FAMILIES; FRAME;

D O I：

10.3390/galaxies11020058

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.

引用

页数：11

共 50 条

[1] Periodic orbits in the generalized perturbed restricted three-body problem
Singh, Jagadish
Begha, Jessica Mrumun
ASTROPHYSICS AND SPACE SCIENCE, 2011, 332 (02) : 319 - 324
[2] THE PERTURBED PHOTOGRAVITATIONAL RESTRICTED THREE BODY PROBLEM: ANALYSIS OF RESONANT PERIODIC ORBITS
Pathak, Niraj
Thomas, V. O.
Abouelmagd, Elbaz I.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 12 (4-5): : 849 - 875
[3] Three Classes of Newtonian Three-Body Planar Periodic Orbits
Suvakov, Milovan
Dmitrasinovic, V.
PHYSICAL REVIEW LETTERS, 2013, 110 (11)
[4] Periodic Orbits of Quantised Restricted Three-Body Problem
Abouelmagd, Elbaz I. I.
Guirao, Juan Luis Garcia
Llibre, Jaume
UNIVERSE, 2023, 9 (03)
[5] Resonance transition periodic orbits in the circular restricted three-body problem
Lei, Hanlun
Xu, Bo
ASTROPHYSICS AND SPACE SCIENCE, 2018, 363 (04)
[6] A guide to hunting periodic three-body orbits
Suvakov, Milovan
Dmitrasinovic, V.
AMERICAN JOURNAL OF PHYSICS, 2014, 82 (06) : 609 - 619
[7] On the stability of the three classes of Newtonian three-body planar periodic orbits
Li XiaoMing
Liao ShiJun
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2014, 57 (11) : 2121 - 2126
[8] Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem
Ortega, Alberto Castro
Falconi, Manuel
Lacomba, Ernesto A.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (02) : 181 - 196
[9] Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem
Kalantonis, Vassilis S.
UNIVERSE, 2020, 6 (06)
[10] A review of periodic orbits in the circular restricted three-body problem
Renyong, Zhang
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2022, 33 (03) : 612 - 646

← 1 2 3 4 5 →