Possible chaotic motion of comets in the Sun Jupiter system—a computer-assisted approach based on shadowing

Details Possible chaotic motion of comets in the Sun Jupiter system—a computer-assisted approach based on shadowing Possible chaotic motion of comets in the Sun Jupiter system—a computer-assisted approach based on shadowing

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004nonli..17..281k&link_type=abstract

Nonlinearity, Volume 17, Issue 1, pp. 281-300 (2004).

Mathematics

Logic

1

Scientific paper

Using the shadowing technique we give an alternative computer-assisted proof of certain results in the restricted three-body problem made plausible by Koon et al (2000 Chaos 10 427 69), and rigorously established by Wilczak and Zgliczynski (2003 Commun. Math. Phys. 234 37 75) using topological horseshoes. The approach presented here seems to be rather efficient.

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