The solution of the generalized Kepler's equation

  1. López, R. 13
  2. Hautesserres, D. 2
  3. San-Juan, J.F. 3
  1. 1 Centro de Investigación Biomédica de La Rioja
    info

    Centro de Investigación Biomédica de La Rioja

    Logroño, España

    ROR https://ror.org/03vfjzd38

  2. 2 Centre National D'Etudes Spatiales
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    Centre National D'Etudes Spatiales

    París, Francia

    ROR https://ror.org/04h1h0y33

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

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Revista:
Monthly Notices of the Royal Astronomical Society

ISSN: 0035-8711

Año de publicación: 2018

Volumen: 473

Número: 2

Páginas: 2583-2589

Tipo: Artículo

DOI: 10.1093/MNRAS/STX2522 SCOPUS: 2-s2.0-85045945869 WoS: WOS:000423731200081 GOOGLE SCHOLAR

Otras publicaciones en: Monthly Notices of the Royal Astronomical Society

Repositorio institucional: lockAcceso abierto Editor

Resumen

In the context of general perturbation theories, the main problem of the artificial satellite analyses the motion of an orbiter around an Earth-like planet, only perturbed by its equatorial bulge or J2 effect. By means of a Lie transform and the Krylov-Bogoliubov-Mitropolsky method, a first-order theory in closed form of the eccentricity is produced. During the evaluation of the theory, it is necessary to solve a generalization of the classical Kepler's equation. In this work, the application of a numerical technique and three initial guesses to the generalized Kepler's equation are discussed. © 2017 The Authors.