caa a22 4500 445863404 CHVBK 20180317145450.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10569-011-9342-6 doi (NATIONALLICENCE)springer-10.1007/s10569-011-9342-6 New stacked central configurations for the planar 5-body problem [Elektronische Daten] [Jaume Llibre, Luis Mello, Ernesto Perez-Chavela] A stacked central configuration in the n-body problem is one that has a proper subset of the n-bodies forming a central configuration. In this paper we study the case where three bodies with masses m 1, m 2, m 3 (bodies 1, 2, 3) form an equilateral central configuration, and the other two with masses m 4, m 5 are symmetric with respect to the mediatrix of the segment joining 1 and 2, and they are above the triangle generated by {1, 2, 3}. We show the existence and non-existence of this kind of stacked central configurations for the planar 5-body problem. Springer Science+Business Media B.V., 2011 Planar central configurations nationallicence n -body problem nationallicence Stacked central configurations nationallicence 5-body problem nationallicence Llibre Jaume Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain aut Mello Luis Instituto de Ciências Exatas, Universidade Federal de Itajubá, Av. BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil aut Perez-Chavela Ernesto Departamento de Matemáticas, UAM-Iztapalapa, A.P. 55534, 09340, Iztapalapa, Mexico, D.F., Mexico aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/1(2011-05-01), 43-52 0923-2958 110:1<43 2011 110 10569 https://doi.org/10.1007/s10569-011-9342-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9342-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Llibre Jaume Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain aut NATIONALLICENCE 700 1- Mello Luis Instituto de Ciências Exatas, Universidade Federal de Itajubá, Av. BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil aut NATIONALLICENCE 700 1- Perez-Chavela Ernesto Departamento de Matemáticas, UAM-Iztapalapa, A.P. 55534, 09340, Iztapalapa, Mexico, D.F., Mexico aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/1(2011-05-01), 43-52 0923-2958 110:1<43 2011 110 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer