3 papers
math.DS2026
Stochastic behavior along mean motion resonances in the restricted planar 3-body problem
Marcel Guardia, Vadim Kaloshin, Pau MartÃn +1
One of the most remarkable instability zones in the Solar system are Kirkwood gaps in the asteroid belt. In this paper we analyze instabilities in the famous Kirkwood gap in…
math.DS2026
Computation of a separatrix map and a normally hyperbolic invariant lamination for the RP3BP
Marcel Guardia, Vadim Kaloshin, Pau MartÃn +1
In this paper we discuss the existence of a normally hyperbolic invariant lamination (NHIL) at the Kirkwood gap for the Restricted Planar Elliptic 3 Body Problem. This proble…
math.DS2025
Chaotic phenomena in generic unfoldings of the Hamilton Hopf bifurcation with emphasis on the restricted planar circular 3-body problem beyond the Gascheau-Routh mass ratio
Inmaculada Baldomá, Pau MartÃn, Donato Scarcella
In this work, we prove that a generic unfolding of an analytic Hamiltonian Hopf singularity (in an open set with codimension 1 boundary) possesses transverse homoclinic orbits for…