Astronomy and Astrophysics – Astronomy
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110...71h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 1, pp.71-98
Astronomy and Astrophysics
Astronomy
1
Earth-Moon System, Collinear Libration Point, Dynamical Substitute, Lissajous Orbit, Halo Orbit, Quasi-Periodic Orbits
Scientific paper
Due to various perturbations, the collinear libration points of the real Earth-Moon system are not equilibrium points anymore. Under the assumption that the Moon's motion is quasi-periodic, special quasi-periodic orbits called dynamical substitutes exist. These dynamical substitutes replace the geometrical collinear libration points as time-varying equilibrium points. In the paper, the dynamical substitutes of the three collinear libration points in the real Earth-Moon system are computed. For the points L 1 and L 2, linearized motions around the dynamical substitutes are described, and the variational equations of the dynamical substitutes are reduced to a form with a near constant coefficient matrix. Then higher order analytical formulae of the central manifolds are constructed. Using these analytical solutions as initial seeds, Lissajous orbits and halo orbits are computed with numerical algorithms.
Hou Xi-Yun
Liu Lin
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