KAM theory and the stability of the solar system (Q2878172)

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scientific article; zbMATH DE number 6335616
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KAM theory and the stability of the solar system
scientific article; zbMATH DE number 6335616

    Statements

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    28 August 2014
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    Kolmogorov-Arnold-Moser (KAM)-theory
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    stability
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    solar system
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    three-body problem
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    KAM theory and the stability of the solar system (English)
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    This pedagogical but nevertheless non-trivial paper deals with the question why the planets of our solar system have such stable nearly elliptic orbits in spite of the fact that besides the solar attraction, a large number of perturbations (namely the interaction with the other planets) should destroy this regularity from the first glance.NEWLINENEWLINEThe core of the answer uses the Kolmogorov-Arnold-Moser (KAM)-theory of dynamical systems, and in details, the three-body problem is discussed.NEWLINENEWLINEThe original title of the paper in Dutch reads: KAM-theorie an de stabiliteit van het zonnestelsel.
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