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Chaotic motion analysis of a rigid spacecraft dragging a satellite by an elastic tether

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Abstract

An analytic method studying the in-plane chaotic motion of an asymmetric rigid spacecraft with a tethered body is presented. Starting with the lumped masses modeling the viscoelastic tether, a numerical simulation of pitch motion of the tether is made. According to the configurations of the tether during the pitch motion, a simplified rod model is served as the ideal mechanics model for the tether. Near local equilibrium position, the equations of pitch motion of the system are uncoupled, so that their solutions can be expressed with elliptic functions. Furthermore, by using the Melnikov method, the threshold borders for the chaotic motion of the rigid spacecraft are obtained. The results show that the chaotic motion of a tethered rigid spacecraft would occur within threshold borders and can be suppressed by adding system damping.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 20016, China

    Zhaojun Pang, Bensong Yu & Dongping Jin

Authors
  1. Zhaojun Pang
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  2. Bensong Yu
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  3. Dongping Jin
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Correspondence to Dongping Jin.

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Pang, Z., Yu, B. & Jin, D. Chaotic motion analysis of a rigid spacecraft dragging a satellite by an elastic tether. Acta Mech 226, 2761–2771 (2015). https://doi.org/10.1007/s00707-015-1333-3

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  • DOI: https://doi.org/10.1007/s00707-015-1333-3

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