Stability and Chaos in Celestial Mechanics
Alessandra Celletti
Broschiertes Buch

Stability and Chaos in Celestial Mechanics

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The last decades have marked the beginning of a new era in Celestial Mech- ics. The challenges came from several di?erent directions. The stability theory of nearly integrable systems (a class of problems which includes many models of - lestial Mechanics) pro?ted from the breakthrough represented by the Kolmogorov Arnold Moser theory, which also provides tools for determining explicitly the - rameter values allowing for stability. A con?nement of the actions for exponential times was guaranteed by Nekhoroshev s theorem, which gives much information about the geography of the resonances. Perfor...