Hill's approximation in a restricted four-body problem

DOI10.1007/s10569-015-9612-9zbMath1325.70029arXiv1412.3775OpenAlexW3099726329MaRDI QIDQ891167

Marian Gidea, Jaime Burgos-García

Publication date: 16 November 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3775

zbMATH Keywords

stabilityequilibrium pointsfour-body problemKAM toriTrojan asteroidsHill's problemhomoclinic connections

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (11)

On the equilibria of the restricted four-body problem with triaxial rigid primaries - I. Oblate bodies ⋮ Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem ⋮ Computer-assisted proofs for radially symmetric solutions of PDEs ⋮ Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families ⋮ Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set ⋮ Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system ⋮ Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations ⋮ Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem ⋮ The spatial Hill four-body problem. I: An exploration of basic invariant sets ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

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