Invariant Tori in the Secular Motions of the Three-body Planetary Systems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2000-09

AUTHORS

Ugo Locatelli, Antonio Giorgilli

ABSTRACT

We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies. In the framework of the averaged dynamics over the fast angles for the Sun–Jupiter–Saturn system we can prove the perpetual stability of the orbit. The proof is based on semi-numerical algorithms requiring both explicit algebraic manipulations of series and analytical estimates. The proof is made rigorous by using interval arithmetics in order to control the numerical errors. More... »

PAGES

47-74

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1011139523256

DOI

http://dx.doi.org/10.1023/a:1011139523256

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009130340


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