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

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