Physics
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981m%26p....25...67z&link_type=abstract
Moon and the Planets, vol. 25, Aug. 1981, p. 67-94.
Physics
1
Asteroids, Orbital Mechanics, Solar Orbits, Three Body Problem, Three Dimensional Motion, Two Body Problem, Coefficients, Coordinates, Jupiter (Planet), Predictor-Corrector Methods, Sun
Scientific paper
Some of the major families of planar and three-dimensional periodic orbits around the sun which approach Jupiter but are sufficiently far from it so as to be considered predominantly two-body orbits are analyzed within the framework of the restricted three-body problem. Periodic orbits are determined numerically from predictor-corrector algorithms based on the periodicity conditions for planar symmetric and three-dimensional periodic orbits. The linear stability of the resulting orbits is examined, and it is pointed out that every vertically critical planar periodic orbit is the first member of a family of three-dimensional periodic orbits. Two new families in addition to family I of Markellos and Kazantzis (1977) are presented in tabular and graphic form, together with horizontal and vertical stability diagrams, and the vertical bifurcation points are indicated.
Moran P. E.
Zagouras C. G.
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