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Numerical Exploration of the Dynamics of Self-Adjoint S-Type Riemann Ellipsoids

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Chaos in Gravitational N-Body Systems

Abstract

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.

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© 1996 Kluwer Academic Publishers

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Brunini, A., Giordano, C.M., Plastino, A.R. (1996). Numerical Exploration of the Dynamics of Self-Adjoint S-Type Riemann Ellipsoids. In: Muzzio, J.C., Ferraz-Mello, S., Henrard, J. (eds) Chaos in Gravitational N-Body Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0307-4_16

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  • DOI: https://doi.org/10.1007/978-94-009-0307-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6623-5

  • Online ISBN: 978-94-009-0307-4

  • eBook Packages: Springer Book Archive

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