caa a22 4500 445863102 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10569-010-9328-9 doi (NATIONALLICENCE)springer-10.1007/s10569-010-9328-9 Finiteness of spatial central configurations in the five-body problem [Elektronische Daten] [Marshall Hampton, Anders Jensen] We strengthen a generic finiteness result due to Moeckel by showing that the number of spatial central configurations of the Newtonian five-body problem with positive masses is finite, apart from some explicitly given special cases of mass values. The Author(s), 2011 Central configurations nationallicence n-Body problem nationallicence Tropical geometry nationallicence Polyhedral fan nationallicence Albouy-Chenciner equations nationallicence Hampton Marshall Department of Mathematics and Statistics, University of Minnesota, 1117 University Drive, 55812, Duluth, MN, USA aut Jensen Anders Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073, Göttingen, Germany aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/4(2011-04-01), 321-332 0923-2958 109:4<321 2011 109 10569 https://doi.org/10.1007/s10569-010-9328-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9328-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hampton Marshall Department of Mathematics and Statistics, University of Minnesota, 1117 University Drive, 55812, Duluth, MN, USA aut NATIONALLICENCE 700 1- Jensen Anders Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073, Göttingen, Germany aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/4(2011-04-01), 321-332 0923-2958 109:4<321 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer