Abstract
A grid search method aimed at locating ‘all’ doubly symmetric orbits of the three-dimensional restricted problems of one, two, etc. revolutions is developed and applied numerically on the CDC-3300 computer. Three new types of orbits have thus been located and a second order ‘predictorcorrector’ method is applied in order to determine a certain number of members of the families of which the ‘located’ orbits are members. The stability of these members is also discussed.
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Kazantzis, P.G., Goudas, C.L. A grid search for three-dimensional motions and three new types of such motions. Astrophys Space Sci 32, 95–113 (1975). https://doi.org/10.1007/BF00646219
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DOI: https://doi.org/10.1007/BF00646219