A three dimensional investigation of two dimensional orbits |
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Authors: | D D Carpintero J C Muzzio |
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Institution: | 1.Facultad de Ciencias Astronómicas y Geofísicas,Universidad Nacional de La Plata, Observatorio Astronómico,La Plata,Argentina;2.Instituto de Astrofísica de La Plata, Conicet-UNLP, Observatorio Astronómico,La Plata,Argentina |
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Abstract: | Orbits in the principal planes of triaxial potentials are known to be prone to unstable motion normal to those planes, so
that three dimensional investigations of those orbits are needed even though they are two dimensional. We present here an
investigation of such orbits in the well known logarithmic potential which shows that the third dimension must be taken into
account when studying them and that the instability worsens for lower values of the forces normal to the plane. Partially
chaotic orbits are present around resonances, but also in other regions. The action normal to the plane seems to be related
to the isolating integral that distinguishes regular from partially chaotic orbits, but not to the integral that distinguishes
partially from fully chaotic orbits. |
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Keywords: | |
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