Concepedia

Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

Antonio Giorgilli, Amadeu Delshams, Ernest Fontich, L. Galgani, Carles Simó

Journal of Differential Equations · 1989 · 219 citations · 17 references

Concepts

Natural SciencesMathematicsComputational MechanicsComputational PhysicsDynamical SystemsHamiltonian SystemsMulti-body DynamicsMultibody DynamicsRestricted Three-body ProblemStabilityStability TheoryElliptic Restricted Three-body ProblemEquilibrium Point AnalysisHamiltonian FormulationLinear StabilityThree-body DynamicsThree-body ProblemThree-body Problem Stability

References

17

Theory of Orbits.

V. Szebehely · NASA Technical Reports Server (NASA) · 1967 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +13

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

Canonical transformations depending on a small parameter

Andr� Deprit · Celestial Mechanics and Dynamical Astronomy · 1969 · 994 citations

Natural Sciences, Materials Science, Dynamical Systems +6

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