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Periodic orbits near ℒ4 for mass ratios near the critical mass ratio of routh

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Abstract

The Hamiltonian for orbits near ℒ4 and mass ratios near μ1 is brought into a normal form. A theorem shows that two coefficients in this expansion predict the behavior of the periodic orbits.

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Authors and Affiliations

  1. University of Minnesota, Minneapolis, Minn, U.S.A.

    K. R. Meyer

  2. University of Minnesota, USA

    D. S. Schmidt

  3. University of Maryland, USA

    D. S. Schmidt

Authors
  1. K. R. Meyer
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  2. D. S. Schmidt
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Additional information

This research is partially supported by Office of Naval Research Grant N00014-67-A-0113-0019.

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Meyer, K.R., Schmidt, D.S. Periodic orbits near ℒ4 for mass ratios near the critical mass ratio of routh. Celestial Mechanics 4, 99–109 (1971). https://doi.org/10.1007/BF01230325

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  • DOI: https://doi.org/10.1007/BF01230325

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