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

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  • Iñarrea, Manuel

Abstract

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.

Suggested Citation

  • Iñarrea, Manuel, 2009. "Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1637-1652.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1637-1652
    DOI: 10.1016/j.chaos.2007.09.047
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    References listed on IDEAS

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    1. Liu, Cheng-Lin & Tian, Yu-Ping, 2008. "Eliminating oscillations in the Internet by time-delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 878-887.
    2. Ji, J.C. & Hansen, C.H., 2006. "Stability and dynamics of a controlled van der Pol–Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 555-570.
    3. El-Gohary, Awad, 2005. "Optimal stabilization of an equilibrium position of a rigid body using rotors system with friction forces," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1585-1597.
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