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The scattering map in the spatial Hill's problem
Delshams Valdés, Amadeu; Masdemont Soler, Josep; Roldán González, Pablo
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
We present a framework and methodology to compute the scattering map associated to heteroclinic trajectories in the spatial Hill's problem. The scattering map can be applied to design of zero-cost transfer trajectories in astrodynamics.
2012-05-10
Three-body problem
Celestial mechanics
scattering map
Hill's problem
heteroclinic orbits
Arnold diffusion
three-body problem
normal forms
dynamical systems
cellestial mechanics
Sistemes dinàmics
Mecànica celest
/Classificació AMS/37 Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx]/37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
/Classificació AMS/37 Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx]/37N Applications
/Classificació AMS/70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}/70F Dynamics of a system of particles, including celestial mechanics
/Classificació AMS/70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}/70K Nonlinear dynamics [See also 34Cxx, 37-xx]
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