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Periodic solutions of a spring-pendulum system

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Abstract

A study has been made of a dynamical system composed of a pendulum and a harmonic oscillator, in order to show the remarkable resemblance with many classical celestial mechanics problems, in particular the restricted three-body problem. It is shown that the well-known investigations of periodic orbits can be applied to the present dynamics problem.

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Authors and Affiliations

  1. Dept. of Mechanics and Structures, University of California, Los Angeles, California, USA

    R. Broucke

  2. Jet Propulsion Laboratory, Pasadena, California, USA

    R. Broucke

  3. Institute of Geophysics and Geodesy at the University of Trieste, Italy

    P. A. Baxa

  4. Dept. of Planetary and Space Sciences, University of California, Los Angeles, Calif., USA

    P. A. Baxa

Authors
  1. R. Broucke
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  2. P. A. Baxa
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Broucke, R., Baxa, P.A. Periodic solutions of a spring-pendulum system. Celestial Mechanics 8, 261–267 (1973). https://doi.org/10.1007/BF01231426

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  • DOI: https://doi.org/10.1007/BF01231426

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