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

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

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..373v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 373-380.

Mathematics

Dynamical Systems

Earth Orbits, Earth-Moon System, Lunar Orbits, Solar Orbits, Three Body Problem, Dynamical Systems, Eccentric Orbits, Secular Variations

Scientific paper

In a simplified model of the Earth-moon-sun system based on the restricted circular 3D three-body problem, it is possible to find numerically a set of eight periodic orbits whose time evolutions closely resemble that of the moon's orbit. These orbits have a period of 223 synodic months and are characterized by a secular rotation of the argument of perigee omega. 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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