Symbolic solution of Generalized Kepler Õs Equation

  1. San-Juan, J.F. 1
  2. Abad, A. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Zeitschrift:
Lecture Notes in Computer Science

ISSN: 0302-9743

Datum der Publikation: 2003

Ausgabe: 2657

Seiten: 858-866

Art: Artikel

SCOPUS: 2-s2.0-35248875689 WoS: WOS:000184831700089 GOOGLE SCHOLAR

Andere Publikationen in: Lecture Notes in Computer Science

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

Kepler's generalized equation is a transcendental nonlinear equation that must be solved in order to compute the position and velocity of an artificial satellite at any instant t. In this paper, we propose a method to solve analytically that equation. The method is based on the properties of non canonical Lie transformations and, under certain conditions, it is shown that it gives better results than numerical methods. © Springer-Verlag Berlin Heidelberg 2003.