Kolmogorov and Nekhoroshev theory for the problem of three bodies

被引：0
作者：
Antonio Giorgilli
Ugo Locatelli
Marco Sansottera
机构：
[1] Università degli Studi di Milano,Dipartimento di Matematica
[2] Università degli Studi di Roma “Tor Vergata”,Dipartimento di Matematica
来源：
Celestial Mechanics and Dynamical Astronomy | 2009年 / 104卷
关键词：
Perturbation theory; KAM theory; Nekhoroshev theory; Exponential stability; Kolmogorov theorem; Sun–Jupiter–Saturn system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the long time stability in Nekhoroshev’s sense for the Sun– Jupiter–Saturn problem in the framework of the problem of three bodies. Using computer algebra in order to perform huge perturbation expansions we show that the stability for a time comparable with the age of the universe is actually reached, but with some strong truncations on the perturbation expansion of the Hamiltonian at some stage. An improvement of such results is currently under investigation.
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页码：159 / 173
页数：14
相关论文
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