caa a22 4500 445863420 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10569-011-9340-8 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9340-8 On quasi-periodic motions around the collinear libration points in the real Earth-Moon system [Elektronische Daten] [X. Hou, L. Liu] 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. Springer Science+Business Media B.V., 2011 Earth-Moon system nationallicence Collinear libration point nationallicence Dynamical substitute nationallicence Lissajous orbit nationallicence Halo orbit nationallicence Quasi-periodic orbits nationallicence Hou X. Astronomy Department, Nanjing University, 210093, Nanjing, China aut Liu L. Astronomy Department, Nanjing University, 210093, Nanjing, China aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/1(2011-05-01), 71-98 0923-2958 110:1<71 2011 110 10569 https://doi.org/10.1007/s10569-011-9340-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9340-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hou X. Astronomy Department, Nanjing University, 210093, Nanjing, China aut NATIONALLICENCE 700 1- Liu L. Astronomy Department, Nanjing University, 210093, Nanjing, China aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/1(2011-05-01), 71-98 0923-2958 110:1<71 2011 110 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 445863420 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer