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Existence of a Center Manifold in a Practical Domain around $L_1$ in the Restricted Three-Body Problem

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

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Lectures on Celestial Mechanics

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A note on a Lagrangian formulation for motion about the collinear points

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The scattering map in the planar restricted three body problem

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Numerical computation of normal forms around some periodic orbits of the restricted three-body problem

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Dynamics in the center manifold of the collinear points of the restricted three body problem

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A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems

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Connecting orbits and invariant manifolds in the spatial restricted three-body problem

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Transition tori in the planar restricted elliptic three-body problem

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Properties of Center Manifolds

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Dynamics and Mission Design Near Libration Points

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Applications of Centre Manifold Theory.

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Unstable equilibria of Hamiltonian systems

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Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the sun-earth and earth-moon systems

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Cone conditions and covering relations fortopologically normally hyperbolic invariant manifolds

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