Abstract
Following our previous works (M. D. Vivarelli, Celest. Mech. Dyn. Astr., 60:291–305, 1994; Meccanica, 35:55–67, 2000; The amazing S-code of the conic sections and the Kepler problem, Polipress, Milano, 2005) on the unified S-description of the family of confocal conic sections, we show how the unit circle, which reveals to play an exceptional role in the family, emerges naturally as the Julia set of a quadratic complex map which is strictly related to the regularization of the classical three-dimensional Kepler problem.
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Vivarelli, M.D. A Julia set for the Kepler problem. Meccanica 42, 365–374 (2007). https://doi.org/10.1007/s11012-006-9050-6
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DOI: https://doi.org/10.1007/s11012-006-9050-6