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Stability Theory in Celestial Mechanics

Published online by Cambridge University Press:  14 August 2015

J. Moser
J. Moser*
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, N.Y. 10012, U.S.A.

Abstract

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This expository lecture surveys recent progress of the stability theory in Celestial Mechanics with emphasis on the analytical problems. In particular, the old question of convergence of perturbation series are discussed and positive results obtained, in the light of the work by Kolmogorov Arnold and Moser. For the three body problem, classes of quasi-periodic solutions and doubly asymptotic (or homoclinic) orbits are discussed.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 62: The Stability of the Solar System , 1974 , pp. 1 - 9
Copyright
Copyright © Reidel 1974 

References

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