Mathematics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26as...32..307z&link_type=abstract
Astronomy and Astrophysics Supplement Series, vol. 32, May 1978, p. 307-321.
Mathematics
10
Celestial Mechanics, Orbit Calculation, Three Body Problem, Branching (Mathematics), Motion Stability, Orthogonality, Periodic Variations, Tables (Data)
Scientific paper
The numerical techniques employed in the determination of families of three-dimensional symmetric periodic orbits of all kinds of symmetry in the restricted three-body problem are first outlined. Then seven new families bifurcating from the 'vertical critical' orbits (absolute value of the parameter of vertical stability equal to unity) of the families l and m of plane symmetric retrograde (in the rotating system) periodic orbits around both primaries are computed on the basis of the above methods. It is found that, in general, the families bifurcating from family l have as terminal member an orbit of the family m. Also, the corresponding families originating from family m are terminated with plane periodic orbits going around the collinear equilibrium point.
Kalogeropoulou M.
Zagouras C. G.
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