Concepedia

Kolmogorov and Nekhoroshev theory for the problem of three bodies

Antonio Giorgilli, Ugo Locatelli, Marco Sansottera

Celestial Mechanics and Dynamical Astronomy · 2009 · 57 citations · 33 references

Open access

Concepts

Natural SciencesMathematicsPhysicsMathematical PhysicsStochastic ProcessesTheoretical PhysicsKinematicsMany-body PhysicsMulti-body DynamicsRestricted Three-body ProblemStatistical MechanicsKolmogorov TheoryThree-body DynamicsThree-body Problem

References

33

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 1.1K citations

Natural Sciences, Mathematics, Physics +17

<i>Stable and Random Motions in Dynamical Systems</i>

J. Moser, Donald G. Saari · Physics Today · 1975 · 1K citations

Natural Sciences, Mathematics, Complex Systems +11

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 939 citations

Natural Sciences, Mathematics, Physics +13

AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

N. N. Nekhoroshev · Russian Mathematical Surveys · 1977 · 757 citations

Natural Sciences, Mathematics, Physics +15

Convergent series expansions for quasi-periodic motions

J�rgen Moser · Mathematische Annalen · 1967 · 586 citations

Natural Sciences, Mathematics, Physics +13