Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit

  1. Iñarrea, M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Chaos, Solitons & Fractals

ISSN: 0960-0779

Año de publicación: 2009

Volumen: 40

Número: 4

Páginas: 1637-1652

Tipo: Artículo

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DOI: 10.1016/J.CHAOS.2007.09.047 SCOPUS: 2-s2.0-65449149141 WoS: WOS:000266653500008 GOOGLE SCHOLAR

Otras publicaciones en: Chaos, Solitons & Fractals

Resumen

We study the pitch attitude dynamics of an asymmetric magnetic spacecraft in a polar almost circular orbit under the influence of a gravity gradient torque. The spacecraft is perturbed by the small eccentricity of the elliptic orbit and by a small magnetic torque generated by the interaction between the Earth's magnetic field and the magnetic moment of the spacecraft. Under both perturbations, we show that the pitch motion exhibits heteroclinic chaotic behavior by means of the Melnikov method. Numerical methods applied to simulations of the pitch motion also confirm the chaotic character of the spacecraft attitude dynamics. Finally, a linear time-delay feedback method for controlling chaos is applied to the governing equations of the spacecraft pitch motion in order to remove the chaotic character of initially irregular attitude motions and transform them into periodic ones. © 2007 Elsevier Ltd. All rights reserved.