The moon and the planets

, Volume 25, Issue 1, pp 67–94 | Cite as

Examples of predominantly two-body orbits in the Sun-Jupiter asteroid system

  • C. G. Zagouras
  • P. E. Moran


Accurate numerical continuation of families of plane symmetric direct periodic orbits around the large primary in the Sun-Jupiter case of the restricted problem of three bodies allows the determination of the ‘vertical branching points’ where families of three-dimensional symmetric periodic orbits bifurcate from the planar ones. Three families of plane periodic orbits, and the initial segments of ten bifurcating families of three-dimensional ones are determined. The stability of these families is examined and examples of their orbits are illustrated.


Periodic Orbit Initial Segment Restricted Problem Numerical Continuation Symmetric Periodic Orbit 
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Copyright information

© D. Reidel Publishing Co 1981

Authors and Affiliations

  • C. G. Zagouras
    • 1
  • P. E. Moran
    • 2
  1. 1.Department of MechanicsUniversity of PatrasGreece
  2. 2.Computer CentreUniversity of GlasgowScotland

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