Homoclinic dynamics in a spatial restricted four body problem blue skies into Smale horseshoes for vertical Lyapunov families
Maxime Murray,
Jason Mireles-James
Abstract:The set of transverse homoclinic intersections for a saddle-focus equilibrium in the planar equilateral restricted four body problem admit certain simple homoclinic oribts which form the skeleton of the complete homoclinic intersection -or homoclinic web. In the present work the planar restricted four body problem is viewed as an invariant subsystem of the spatial problem, and the influence of this planar homoclinic skeleton on the spatial dynamics is studied from a numerical point of view. Starting from the v… Show more
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