caa a22 4500 467987246 CHVBK 20180323112535.0 cr unu---uuuuu 170328e19901201xx s 000 0 eng 10.1007/BF02426676 doi (NATIONALLICENCE)springer-10.1007/BF02426676 Diacu Florin Centre de recherches mathématiques, Université de Montreal, C.P. 6128-A, H3C 8J7, Montréal, Québec, Canada aut Tame and chaotic behavior in the planar isosceles 3-body problem [Elektronische Daten] [Florin Diacu] We show that every planar isosceles solution of the three-body problem encounters a collision of the symmetric particles, either forwards or backwards in time. Regularizing analytically this collision, the solution has at least a syzygy configuration and/or leads to a total collapse. Some further simple results support the intuitive image on the tame local behavior of the motion as long as it does not lead to a triple collision. As a main result we prove that total collapse singularities, can be regularized in aC 1-fashion with respect to time, for all values of the masses. Using symbolic dynamics, the chaotic character of theC 1-regularized solutions is pointed out. Kluwer Academic Publishers, 1991 Three-body problem nationallicence isosceles solutions nationallicence C 1-regularisation nationallicence symbolic dynamics nationallicence chaos nationallicence Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 50/4(1990-12-01), 313-324 0923-2958 50:4<313 1990 50 10569 https://doi.org/10.1007/BF02426676 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02426676 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Diacu Florin Centre de recherches mathématiques, Université de Montreal, C.P. 6128-A, H3C 8J7, Montréal, Québec, Canada aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 50/4(1990-12-01), 313-324 0923-2958 50:4<313 1990 50 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer