caa a22 4500 445862998 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10569-010-9316-0 doi (NATIONALLICENCE)springer-10.1007/s10569-010-9316-0 On the central configurations of the planar 1 + 3 body problem [Elektronische Daten] [Montserrat Corbera, Josep Cors, Jaume Llibre] We consider the Newtonian four-body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimal masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, with the help of extended precision arithmetics, we provide evidence that the number of central configurations varies from five to seven. Springer Science+Business Media B.V., 2010 1+3 body problem nationallicence Central configurations nationallicence Coorbital satellites nationallicence Corbera Montserrat Departament de Tecnologies Digitals i de la Informació, Universitat de Vic, Laura 13, 08500, Vic, Barcelona, Catalonia, Spain aut Cors Josep Matemàtica Aplicada III, Universitat Politècnica de Catalunya, 08242, Manresa, Barcelona, Catalonia, Spain aut Llibre Jaume Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193, Barcelona, Catalonia, Spain aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/1(2011-01-01), 27-43 0923-2958 109:1<27 2011 109 10569 https://doi.org/10.1007/s10569-010-9316-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9316-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Corbera Montserrat Departament de Tecnologies Digitals i de la Informació, Universitat de Vic, Laura 13, 08500, Vic, Barcelona, Catalonia, Spain aut NATIONALLICENCE 700 1- Cors Josep Matemàtica Aplicada III, Universitat Politècnica de Catalunya, 08242, Manresa, Barcelona, Catalonia, Spain aut NATIONALLICENCE 700 1- Llibre Jaume Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193, Barcelona, Catalonia, Spain aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/1(2011-01-01), 27-43 0923-2958 109:1<27 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer