Investigation of families of three-dimensional periodic orbits of the three body problem

Details Investigation of families of three-dimensional periodic orbits of the three body problem Investigation of families of three-dimensional periodic orbits of the three body problem

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979kosis..17..323l&link_type=abstract

Kosmicheskie Issledovaniia, vol. 17, May-June 1979, p. 323-332. In Russian.

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1

Celestial Mechanics, Orbit Calculation, Three Body Problem, Hill Method, Libration, Orthogonality, Tables (Data)

Scientific paper

Lidov (1977) revealed a new family of three-dimensional periodic orbits of the elliptical three body problem; it was considered that the spacecraft orbits about the main body in the vicinity of a smaller body. The present study considers this family of orbits in the Hill approximation. It is shown that on the one hand this family is intersected by a family of one-dimensional periodic orbits orthogonal to the principal plane, while on the other hand it is intersected by a family of two-dimensional periodic orbits that include the L1 and L2 libration points.

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