Characterization of Low-Energy Quasiperiodic Orbits in the Elliptic Restricted 4-Body Problem with Orbital Resonance

In this work, we investigate the behavior of low-energy trajectories in dynamical framework spatial elliptic restricted 4-body problem, developed using Hamiltonian formalism. Introducing canonical transformations, function neighborhood collinear libration point L1 (or L2), can be expressed as a sum three second order local integrals motion, which provide compact topological description transits, captures and quasiperiodic orbits, plus higher terms that represent perturbations. The problem small denominators is then applied to transformed function, identify effects orbital resonance primaries onto orbits. Stationary solutions for these resonant are determined, corresponding orbits existing presence resonance. proposed model Jupiter-Europa-Io system, determining surrounding Jupiter-Europa considering 2:1 between Europa Io.