Metastable trajectories in free-fall three-body problem

被引：0

作者：

Orlov, V ^{[1
]}

Petrova, A ^{[1
]}

Rubinov, A ^{[1
]}

Martynova, A ^{[1
]}

机构：

[1] St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia

来源：

ORDER AND CHAOS IN STELLAR AND PLANETARY SYSTEMS | 2004年 / 316卷

关键词：

D O I：

暂无

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the free-fall equal-mass three-body problem. The dynamical evolution of about 300,000 triple systems was considered. We found about 9,000 triple systems where the motions are limited within a finite region during a long time. These regions are concentrated to the zones of regular motions in the vicinities of stable periodic orbits. Such triple systems were named as metastable. Triple system leaves the metastable regime after some time and its evolution is ended by escape of one body. The set of initial configurations corresponding to metastable systems occupies a whole homology region, besides the zones of fast escapes. The structure of this set is rather complicated. In particular, there are some fractal clumps of initial configurations corresponding to metastable systems.

引用

页码：70 / 75

页数：6

共 50 条

[1] Periodic orbits in the free-fall three-body problem
V. V. Orlov
V. A. Titov
L. A. Shombina
Astronomy Reports, 2016, 60 : 1083 - 1089
[2] Periodic orbits in the free-fall three-body problem
Orlov, V. V.
Titov, V. A.
Shombina, L. A.
ASTRONOMY REPORTS, 2016, 60 (12) : 1083 - 1089
[3] Collisionless periodic orbits in the free-fall three-body problem
Li, Xiaoming
Liao, Shijun
NEW ASTRONOMY, 2019, 70 : 22 - 26
[4] Symbol sequences and orbits of the free-fall three-body problem
Tanikawa, Kiyotaka
Mikkola, Seppo
PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 2015, 67 (06)
[5] A Search for Collision Orbits in the Free-Fall Three-Body Problem II
Kiyotaka Tanikawa
Celestial Mechanics and Dynamical Astronomy, 2000, 76 : 157 - 185
[6] A search for collision orbits in the free-fall three-body problem II
Tanikawa, K
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 76 (03): : 157 - 185
[7] Binary and triple collisions causing instability in the free-fall three-body problem
Umehara, H
Tanikawa, K
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 76 (03): : 187 - 214
[8] Binary and triple collisions causing instability in the free-fall three-body problem
Hiroaki Umehara
Kiyotaka Tanikawa
Celestial Mechanics and Dynamical Astronomy, 2000, 76 : 187 - 214
[9] Free-fall and heteroclinic orbits to triple collisions in the isosceles three-body problem
Shibayama, Mitsuru
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2009, 49 (04): : 735 - 746
[10] A search for triple collision orbits inside the domain of the free-fall three-body problem
Tanikawa, Kiyotaka
Saito, Masaya M.
Mikkola, Seppo
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2019, 131 (06):

← 1 2 3 4 5 →