Resumen de Determining stability regions in highly perturbed non linear synamical systems using periodic orbits

Miguel Lara Benítez, D. J. Scheeres

• We rely on numerically determined periodic orbits to explore stability of motion over three dimensional space around highly perturbed nonlinear dynamical systems. It is known that families of three dimensional periodic orbits appear in the vicinity of planar, resonant, periodic orbits. Thus, by computing several of these "resonant" families and studying their stability properties as they evolve, we find that the stability type of the periodic orbits changes at certain critical inclinations. We use these stability transitions in order to determine regions in three dimensional space where orbital motion is stable.