Numerical Exploration of the Dynamics of Self-Adjoint S-Type Riemann Ellipsoids
In this paper we present a numerical exploration of the phase-space structure for the Self-Adjoint S-Type Riemann ellipsoids via Poincaré Surfaces of Section, which reveal a rich and complex dynamical behaviour.
Both the occurrence of chaos for certain values of the parameters of the system as well as the existence of periodic orbits are observed.
We also considered ellipsoids embedded in rigid, homogeneous, spherical halos, obtaining evidence of the stabilizing effect of halos even in the case of finite-amplitude oscillations.
KeywordsPeriodic Orbit Chaotic Orbit Complex Dynamical Behaviour Numerical Exploration Irregular Orbit
Unable to display preview. Download preview PDF.
- Chandrasekhar, S., 1987, ”Ellipsoidal Figures of Equilibrium”, Dover Publications, Inc., New York.Google Scholar
- Dirichlet, G. L., 1860, J. Reine Angew. Math., 58, 217.Google Scholar
- Press, W. H., Flannery, B. P., Teukolsky, S. A., et al., 1989, ”Numerical Recipes, The Art of Scientific Computing”, Cambridge University Press.Google Scholar