Following our unified description of the family of the confocal conic sections, in this paper we show how the unit circular orbit, which reveals to play an exceptional role in the conic family, emerges as the Julia set of a quadratic complex map which is strictly related to the regularization of the classical Kepler problem which regularizes the orbits at collision.
A Julia set for the Kepler problem
VIVARELLI, MARIA DINA
2007-01-01
Abstract
Following our unified description of the family of the confocal conic sections, in this paper we show how the unit circular orbit, which reveals to play an exceptional role in the conic family, emerges as the Julia set of a quadratic complex map which is strictly related to the regularization of the classical Kepler problem which regularizes the orbits at collision.File in questo prodotto:
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