Periodic orbits in three-dimensional planetary systems |
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| Authors: | S Ichtiaroglou K Katopodis Michalodimitrakis |
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| Institution: | (1) Department of Theoretical Mechanics, University of Thessaloniki, 54006, Greece |
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| Abstract: | Three-dimensional planetary systems are studied, using the model of the restricted three-body problem for Μ =.001. Families
of three-dimensional periodic orbits of relatively low multiplicity are numerically computed at the resonances 3/1, 5/3, 3/5
and 1/3 and their stability is determined. The three-dimensional orbits are found by continuation to the third dimension of
the vertical critical orbits of the corresponding planar problem |
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| Keywords: | celestial mechanics families of periodic orbits stability |
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