Periodic orbits of the planar collision restricted 3-body problem

被引：8

作者：

Llibre, Jaume ^{[1
]}

Pasca, Daniel

机构：

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

[2] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2006年 / 96卷 / 01期

关键词：

collision restricted 3-body problem; continuation method; periodic orbits;

D O I：

10.1007/s10569-006-9013-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called "comet orbits".

引用

页码：19 / 29

页数：11

共 50 条

[1] Periodic orbits of the planar collision restricted 3-body problem
Jaume Llibre
Daniel Paşca
[J]. Celestial Mechanics and Dynamical Astronomy, 2006, 96 : 19 - 29
[2] Erratum to “Periodic orbits of the planar collision restricted 3-body problem”
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Daniel Paşca
[J]. Celestial Mechanics and Dynamical Astronomy, 2007, 98 : 217 - 217
[3] Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates
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[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 58 - 65
[4] Branches of periodic orbits for the planar restricted 3-body problem
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[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2004, 11 (04): : 745 - 755
[5] PERIODIC ORBITS FOR THE PERTURBED PLANAR CIRCULAR RESTRICTED 3-BODY PROBLEM
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[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (03): : 1007 - 1020
[6] Periodic orbits of the planar collision restricted 3-body problem (vol 96, pg 19, 2007)
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Pasca, Daniel
[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2007, 98 (03): : 217 - 217
[7] PERIODIC ORBITS IN RECTILINEAR RESTRICTED 3-BODY PROBLEM
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[J]. JOURNAL DE MECANIQUE, 1971, 10 (03): : 449 - &
[8] FAMILIES OF PERIODIC ORBITS IN PLANAR 3-BODY PROBLEM
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[J]. CELESTIAL MECHANICS, 1975, 12 (02): : 175 - 187
[9] PERIODIC ORBITS IN PLANAR GENERAL 3-BODY PROBLEM
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[J]. CELESTIAL MECHANICS, 1975, 11 (01): : 13 - 38
[10] EJECTION AND COLLISION ORBITS OF THE SPATIAL RESTRICTED 3-BODY PROBLEM
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[J]. CELESTIAL MECHANICS, 1985, 35 (02): : 113 - 128

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