IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v164y2022ics0960077922008979.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922008979
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112718?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    4. 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).
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alsaade, Fawaz W. & Yao, Qijia & Bekiros, Stelios & Al-zahrani, Mohammed S. & Alzahrani, Ali S. & Jahanshahi, Hadi, 2022. "Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Muhammad Marwan & Vagner Dos Santos & Muhammad Zainul Abidin & Anda Xiong, 2022. "Coexisting Attractor in a Gyrostat Chaotic System via Basin of Attraction and Synchronization of Two Nonidentical Mechanical Systems," Mathematics, MDPI, vol. 10(11), pages 1-15, June.
    3. Zhang, Yifeng & Xu, Huidong & Zhang, Jianwen, 2023. "Global dynamics for impacting cantilever beam supported by oblique springs," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Peng, Ruyue & Li, Qunhong & Zhang, Wei, 2024. "Homoclinic bifurcation analysis of a class of conveyor belt systems with dry friction and impact," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. Niu, Yan & Wu, Meiqi & Yao, Minghui & Wu, Qiliang, 2022. "Dynamic instability and internal resonance of rotating pretwisted composite airfoil blades," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    6. Dmitry Roldugin & Mikhail Ovchinnikov, 2023. "Terminal One Axis Stabilization Properties of a Spinning Satellite Employing Simple Magnetic Attitude Control," Mathematics, MDPI, vol. 11(6), pages 1-14, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008979. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.