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Titlebook: Chaos in Gravitational N-Body Systems; Proceedings of a Wor J. C. Muzzio,S. Ferraz-Mello,J. Henrard Conference proceedings 1996 Kluwer Acad

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Sinking, Tidally Stripped, Galactic Satellites,onally bound, and one of them is much larger than the other, the latter can be regarded as a satellite of the former. The study of their dynamics is somewhat simplified in this case, which presents well observed examples in nature (e.g., globular clusters). Galactic satellites suffer orbital decay d
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On the Satellite Capture Problem,ed Three-Body Problem. We show that a second integral of motion furnishes an accurate description for the stability limit of retrograde satellites..The distribution of heliocentric orbital elements is studied, and possible candidates to be temporary Jovian satellites are investigated..Previous resul
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Large Scale Chaos and Marginal Stability in the Solar System,s from the outer region of the solar system. All the inner planets probably experienced large scale chaotic behavior for their obliquities during their history. The Earth obliquity is presently stable only because of the presence of the Moon, and the tilt of Mars undergoes large chaotic variations f
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Chaos in the Solar System,time for an orbit to make a close encounter with a perturbing planet, T., is a function of the Lyapunov time, ... The relation is log(....) = . + . log(....) where .. is a fiducial period which we have taken as the period of the principal perturber or the period of the asteroid. There are exceptions
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Geometrodynamics, Chaos and Statistical Behaviour of N-Body Systems,the instability is driven by the fluctuations of some geometrical invariants, rather than by their average values; .) the most commonly used invariant has in general nothing to do with dynamic instability of realistic . systems; .) in order to evaluate correctly the relevant quantities entering thes
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Geometrodynamics on Finsler Spaces,locities (possibly, on time), using a geometrical description. The manifold in which the dynamical systems live is a Finslerian space in which the conformai factor is a positively homogeneous function of first degree in the velocities (the homogeneous Lagrangian of the system). This method is a gene
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