The dynamics of Kepler equation

  1. Lanchares Barrasa, Víctor
  2. Pérez Barrón, Iván Luis
Revista:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Any de publicació: 2003

Número: 22

Pàgines: 75-82

Tipus: Article

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Altres publicacions en: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Resum

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.

Fuente de los datos: Dialnet