Relativistic effects in the chaotic Sitnikov problem

被引：10

作者：

Kovacs, T. ^{[1
,2
]}

Bene, Gy. ^{[3
]}

Tel, T. ^{[3
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Hungarian Acad Sci, Konkoly Observ, H-1525 Budapest, Hungary

[3] Eotvos Lorand Univ, Dept Theoret Phys, H-1117 Budapest, Hungary

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2011年 / 414卷 / 03期

关键词：

chaos; relativistic processes; scattering; methods: numerical; celestial mechanics; FRACTAL BASIN BOUNDARIES; PERIODIC-ORBITS; SCATTERING; MOTIONS; SINGULARITIES;

D O I：

10.1111/j.1365-2966.2011.18546.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate the phase-space structure of the relativistic Sitnikov problem in the first post-Newtonian approximation. The phase-space portraits show a strong dependence on the gravitational radius which describes the strength of the relativistic pericentre advance. Bifurcations appearing at various gravitational radii are presented. Transient chaotic behaviour related to escapes from the primaries is also studied. Finally, the numerically determined chaotic saddle is investigated in the context of hyperbolic and non-hyperbolic dynamics as a function of the gravitational radius.

引用

页码：2275 / 2281

页数：7

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