The arrangement in mean elements space of the periodic orbits close to that of the Moon

  • G. B. Valsecchi
  • E. Perozzi
  • A. E. Roy
  • B. A. Steves
Session On Misellaneous Problems


In a simplified model of the Earth-Moon-Sun system based on the restricted circular 3-dimensional 3-body problem, it is possible to find numerically a set of 8 periodic orbits whose time evolutions closely resemble that of the Moon's orbit. These orbits have a period of 223 synodic months (i.e. the period of the Saros cycle known for more than two millennia as a means of predicting eclipses), and are characterized by a secular rotation of the argument of perigee ω. Periodic orbits of longer durations exhibiting this last feature are very abundant in Earth-Moon-Sun dynamical models. Their arrangement in the space of the mean orbital elementsē-ī for various values of the lunar mean motion is presented.

Key words

Periodic orbits motion of the Moon Saros cycle 


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • G. B. Valsecchi
    • 1
  • E. Perozzi
    • 2
  • A. E. Roy
    • 3
  • B. A. Steves
    • 4
  1. 1.I.A.S. — C.N.R., Reparto di PlanetologiaRomaItaly
  2. 2.Telespazio s.p.a.RomaItaly
  3. 3.Department of Physics and AstronomyUniversity of GlasgowGlasgowUK
  4. 4.Department of MathematicsGlasgow PolytechnicGlasgowUK

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