On the coplanar eccentric non-restricted co-orbital dynamics

We study the phase space of eccentric coplanar co-orbitals in the non-restricted case. Departing from the quasi-circular case, we describe the evolution of the phase space as the eccentricities increase. We find that over a given value of the eccentricity, around 0.5 for equal mass co-orbitals, important topological changes occur in the phase space. These changes lead to the emergence of new co-orbital configurations and open a continuous path between the previously distinct trojan domains near the L_4 and L_5 eccentric Lagrangian equilibria. These topological changes are shown to be linked with the reconnection of families of quasi-periodic orbits of non-maximal dimension.publishe

Reckless orbiting in the Solar System

Department of Statistics Applied Mathematics and Computer Science Institute of Geosciences and Exact Sciences São Paulo State University (UNESP)Laboratoire Lagrange Côte d'Azur ObservatoryDepartment of Statistics Applied Mathematics and Computer Science Institute of Geosciences and Exact Sciences São Paulo State University (UNESP