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      Permanent link:
      https://www.ias.ac.in/article/fulltext/joaa/010/04/0367-0380

    • Keywords

       

      celestial mechanics; families of periodic orbits; stability

    • Abstract

       

      Three-dimensional planetary systems are studied, using the model of the restricted three-body problem for Μ =.001. Families of three-dimensional periodic orbits of relatively low multiplicity are numerically computed at the resonances 3/1, 5/3, 3/5 and 1/3 and their stability is determined. The three-dimensional orbits are found by continuation to the third dimension of the vertical critical orbits of the corresponding planar problem

    • Author Affiliations

       

      S. Ichtiaroglou1 K. Katopodis1 Michalodimitrakis1

      1. Department of Theoretical Mechanics, University of Thessaloniki - 54006, Greece
    • Dates

       
  • Journal of Astrophysics and Astronomy | News

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