Determining stability regions in highly perturbed non linear synamical systems using periodic orbits
- Autores: Miguel Lara Benítez, D. J. Scheeres
- Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort
, 2003, ISBN 84-96214-04-4, págs. 385-392 - Idioma: inglés
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Resumen
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.
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