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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2002
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0201278 |
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| _version_ | 1866908599979081728 |
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| author | Wilczak, D. Zgliczynski, P. |
| author_facet | Wilczak, D. Zgliczynski, P. |
| contents | The restricted circular three-body problem is considered for the following parameter values $C=3.03$, $μ=0.0009537$ - the values for {\em Oterma} comet in the Sun-Jupiter system.
We present a computer assisted proof of an existence of homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0201278 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof Wilczak, D. Zgliczynski, P. Dynamical Systems Numerical Analysis 65P20 (Primary), 65P10 (Secondary) The restricted circular three-body problem is considered for the following parameter values $C=3.03$, $μ=0.0009537$ - the values for {\em Oterma} comet in the Sun-Jupiter system. We present a computer assisted proof of an existence of homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle. |
| title | Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof |
| topic | Dynamical Systems Numerical Analysis 65P20 (Primary), 65P10 (Secondary) |
| url | https://arxiv.org/abs/math/0201278 |