Ontology type: schema:ScholarlyArticle
2000-09
AUTHORSUgo Locatelli, Antonio Giorgilli
ABSTRACTWe 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... »
PAGES47-74
http://scigraph.springernature.com/pub.10.1023/a:1011139523256
DOIhttp://dx.doi.org/10.1023/a:1011139523256
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