The dynamics of Kepler equation
ISSN: 1132-6360
Ano de publicación: 2003
Número: 22
Páxinas: 75-82
Tipo: Artigo
Outras publicacións en: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
Resumo
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.