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Chaotic pitch motion of an aerodynamically stabilized magnetic satellite in polar orbits

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  • Aslanov, Vladimir S.
  • Sizov, Dmitry A.

Abstract

The paper is devoted to the chaotic attitude dynamics of magnetic satellites with stabilizing panels. The pitch motion under the gravitational and restoring aerodynamic torques and small perturbations, namely, the magnetic torque and the aerodynamic damping, is considered. On the example of a CubeSat having an aerodynamic instability, it is demonstrated that the unperturbed phase space evolves with orbital altitude both quantitatively and qualitatively, forming different sets of homoclinic and heteroclinic trajectories. The Melnikov method is used to find the combinations of system parameters resulting in regular and chaotic motions. The occurrence of chaos is verified by means of Poincaré sections.

Suggested Citation

  • Aslanov, Vladimir S. & Sizov, Dmitry A., 2022. "Chaotic pitch motion of an aerodynamically stabilized magnetic satellite in polar orbits," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008979
    DOI: 10.1016/j.chaos.2022.112718
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    References listed on IDEAS

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    1. Kemih, Karim & Kemiha, Adel & Ghanes, Malek, 2009. "Chaotic attitude control of satellite using impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 735-744.
    2. Aslanov, Vladimir & Yudintsev, Vadim, 2012. "Dynamics and chaos control of gyrostat satellite," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1100-1107.
    3. Zheng, Y. & Zhang, W. & Liu, T. & Zhang, Y.F., 2022. "Resonant responses and double-parameter multi-pulse chaotic vibrations of graphene platelets reinforced functionally graded rotating composite blade," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. El-Gohary, Awad, 2009. "Chaos and optimal control of steady-state rotation of a satellite-gyrostat on a circular orbit," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2842-2851.
    5. Víctor Lanchares & Manuel Iñarrea & Ana Isabel Pascual & Antonio Elipe, 2022. "Stability Conditions for Permanent Rotations of a Heavy Gyrostat with Two Constant Rotors," Mathematics, MDPI, vol. 10(11), pages 1-17, May.
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