The arrangement in mean elements space of the periodic orbits close to that of the Moon |
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Authors: | G B Valsecchi E Perozzi A E Roy B A Steves |
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Institution: | (1) I.A.S. — C.N.R., Reparto di Planetologia, viale dell' Università 11, 00185 Roma, Italy;(2) Telespazio s.p.a., via Tiburtina 965, 00156 Roma, Italy;(3) Department of Physics and Astronomy, University of Glasgow, G12 8QQ Glasgow, UK;(4) Department of Mathematics, Glasgow Polytechnic, Cowcaddens Rd, Glasgow, UK |
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Abstract: | 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 . 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 elements - for various values of the lunar mean motion is presented. |
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Keywords: | Periodic orbits motion of the Moon Saros cycle |
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