The dynamics of Kepler equation
ISSN: 1132-6360
Année de publication: 2003
Número: 22
Pages: 75-82
Type: Article
beta Ver similares en nube de resultadosD'autres publications dans: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
Résumé
It is well known that Kepler¿s equation can be solved by means of an iterative method defined, in a natural way, from the equation itself. This method yields to the unique solution if the eccentricity is in the range of the elliptic orbits. However, if we allow the eccentricity to take values greater than one or even in the complex plane, we discover a rich dynamics where period doubling bifurcations cascades are found, as well as fractal structures.