6 papers
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…
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…
Partially hyperbolic dynamics in the 3-body problem
Marcel Guardia, Jaime Paradela
We construct symplectic blenders for two classical Hamiltonian systems: the 3-body problem and its restricted version. We use these objects to show that both models exhibit a robus…
Second-species dynamics in the restricted planar circular three body problem: chaos, final motions and periodic orbits
Marcel Guardia, José Lamas, Tere M-Seara
Consider the Restricted Planar Circular Three Body Problem (RPC3BP), which models the motion of a massless particle (Asteroid) under the gravitational influence of two massive bodi…
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem
Marcel Guardia, Jaime Paradela, Tere M. Seara
A major question in dynamical systems is to understand the mechanisms driving global instability in the 3 Body Problem (3BP), which models the motion of three bodies under Newtonia…
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara +1
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for ce…