Families of three-dimensional periodic orbits of the Hill problem and their stability

Details Families of three-dimensional periodic orbits of the Hill problem and their stability Families of three-dimensional periodic orbits of the Hill problem and their stability

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983kosis..21....3l&link_type=abstract

Kosmicheskie Issledovaniia, vol. 21, Jan.-Feb. 1983, p. 3-11. In Russian.

Physics

2

Hill Method, Numerical Stability, Orbit Calculation, Orbit Perturbation, Spacecraft Stability, Canonical Forms, Equations Of Motion, Invariant Imbeddings, Orbital Elements, Orbital Mechanics, Periodic Functions, Set Theory

Scientific paper

Parameters of L-sub-0 families of three-dimensional periodic orbits of the Hill problem were determined numerically. These families are generated by certain one-dimensional periodic orbits forming a B-sub-0 family. On B-sub-0 orbits, the test particle moves along the /0x30/ segment of the 0x3 axis (the normal to the orbital plane of the main bodies). Results are presented on the stability of some of the L-sub-0 orbits.

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