Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method
DOI10.1137/23m1547883arXiv2301.08526MaRDI QIDQ6144485
Àlex Haro, Josep Maria Mondelo González, Unnamed Author
Publication date: 29 January 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.08526
Three-body problems (70F07) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Computational methods for invariant manifolds of dynamical systems (37M21) Symmetries and invariants of dynamical systems (37C79)
Cites Work
- Unnamed Item
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- The parameterization method for invariant manifolds. From rigorous results to effective computations
- Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II
- Computing the scattering map in the spatial Hill's problem
- Covering relations and the existence of topologically normally hyperbolic invariant sets
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions
- Computation of heteroclinic orbits between normally hyperbolic invariant 3-spheres foliated by 2-dimensional invariant tori in hill's problem
- Heteroclinic connections between periodic orbits in planar restricted circular three-body problem -- a computer-assisted proof
- Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds
- Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Computing invariant manifolds for libration point missions
- Flow map parameterization methods for invariant tori in Hamiltonian systems
- Computer assisted proof of drift orbits along normally hyperbolic manifolds
- Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems
- Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the Sun-Earth and Earth-Moon systems
- The parameterization method for invariant manifolds. III: Overview and applications
- Dynamics and Mission Design Near Libration Points
- Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
- The parameterization method for invariant manifolds II: regularity with respect to parameters
- Dynamics and Mission Design Near Libration Points
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- Validated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbits
- High-order expansions of invariant manifolds of libration point orbits with applications to mission design
- The invariant manifold structure of the spatial Hill's problem
- Connecting orbits and invariant manifolds in the spatial restricted three-body problem
- Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
- Low Energy Transit Orbits in the Restricted Three-Body Problems
- The dynamics around the collinear equilibrium points of the RTBP
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