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Periodic solutions of a spring-pendulum system
Authors:R Broucke  P A Baxa
Institution:(1) Dept. of Mechanics and Structures, University of California, Los Angeles, California, USA;(2) Jet Propulsion Laboratory, Pasadena, California, USA;(3) Institute of Geophysics and Geodesy at the University of Trieste, Italy;(4) Dept. of Planetary and Space Sciences, University of California, Los Angeles, Calif., USA
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.Presented at the Conference on Celestial Mechanics, Oberwolfach, Germany, August 27–September 2, 1972.
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