Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three-Body Problem – A Computer Assisted Proof
Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three-Body Problem – A Computer Assisted Proof
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DOI：
10.1007/s00220-002-0709-0
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发表时间：
2002-01
影响因子：
2.4
通讯作者：
D. Wilczak;P. Zgliczyński
中科院分区：
文献类型：
--
作者：
D. Wilczak;P. Zgliczyński
本文考虑了限制性圆三体问题，参数值C =3.03，μ=0.0009537 --太阳-木星系统中Otermacomet的值。我们提出了一个计算机辅助证明的存在性之间的两个李雅普诺夫轨道和存在的符号动力学的四个符号建立在这个周期的同宿和异宿周期。
The restricted circular three-body problem is considered for the following parameter valuesC=3.03, μ=0.0009537 – the values for theOtermacomet in the Sun-Jupiter system. We present a computer assisted proof of an existence of a homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle.