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Some mathematical aspects of spin-orbit resonance

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Abstract

A well-known simple model of spin/orbit coupling leads to the equation\(\ddot \theta = \varepsilon f(t,\theta ,\dot \theta )\) periodic int and the angle θ. A mathematical study of this equation is carried out emphasizing the near-resonance behavior and the mechanism of resonance capture; the results are complementary to the author's previous global study showing how to locate the ‘active’ responances. It is shown that the capture process is to a surprizing degree independent of the functional form off, making some of the detailed hypotheses of previous studies unnecessary.

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Authors and Affiliations

  1. Dept. of Mathematics, Iowa State University, Iowa, USA

    J. A. Murdock

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  1. J. A. Murdock
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Murdock, J.A. Some mathematical aspects of spin-orbit resonance. Celestial Mechanics 18, 237–253 (1978). https://doi.org/10.1007/BF01230164

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  • DOI: https://doi.org/10.1007/BF01230164

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