Mathematics
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29...75t&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 29, Jan. 1983, p. 75-98.
Mathematics
4
Branching (Mathematics), Celestial Mechanics, Orbit Calculation, Three Body Problem, Asymmetry, Asymptotic Methods, Dynamic Stability, Mass, Series (Mathematics)
Scientific paper
For each family of asymmetric periodic orbits presently computed, there will be another consisting of orbits which are mirror images of orbits of the first family with respect to the synodical line. Therefore, for every orbit asymptotic to L4(L5) there will be another asymptotic to L5(L4). The families evolving from each pair of bifurcations for micron values of 0.25, 0.35, and 0.45 terminate on an asymptotic orbit to one of the two equilateral equilibrium points. The evolution of these four families of asymmetric periodic orbits therefore changes significantly for some micron value between 0.15 and 0.25.
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