Computer Science
Scientific paper
Nov 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976kosis..14..909l&link_type=abstract
Kosmicheskie Issledovaniia, vol. 14, Nov.-Dec. 1976, p. 909-921. In Russian.
Computer Science
1
Lagrangian Equilibrium Points, Libration, Perturbation Theory, Spacecraft Trajectories, Three Body Problem, Algorithms, Computer Programs, Earth-Moon System, Equations Of Motion, Hamiltonian Functions, Solar Activity Effects
Scientific paper
A semianalytic method is developed for calculating the passive motion of a spacecraft near a collinear libration point. The problem is formulated sufficiently generally so that perturbation theory can be applied. For the Lagrangian point L2 of the earth-moon system, the method of normalizing transformations applied to the equations of the restricted elliptical three-body problem yields the necessary formulas for an approximate description of the motion of the spacecraft. Solar perturbations are partially taken into account in one of the variants of the algorithm. The method permits description of a manifold of conditionally periodic trajectories in the neighborhood of L2.
Lidov M. L.
Markeev Anatoliy P.
Vashkov'iak M. A.
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