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

Revista:
Lecture Notes in Computer Science

ISSN: 0302-9743

Ano de publicación: 2003

Volume: 2657

Páxinas: 858-866

Tipo: Artigo

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

Outras publicacións en: Lecture Notes in Computer Science

Repositorio institucional: lock_openAcceso aberto Editor

Resumo

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.