caa a22 4500 467987467 CHVBK 20180323112536.0 cr unu---uuuuu 170328e19901201xx s 000 0 eng 10.1007/BF00049389 doi (NATIONALLICENCE)springer-10.1007/BF00049389 Central configurations and a theorem of palmore [Elektronische Daten] [Edward Slaminka, Kevin Woerner] The concept of central configuration is important in the study of total collisions or the relative equilibrium state of a rotating system in the N-body problem. However, relatively few such configurations are known. Aided by a new global optimizer, we have been able to construct new families of coplanar central configurations having particles of equal mass, and extend these constructions to some configurations with differing masses and the non-coplanar case. Meyer and Schmidt had shown that a theorem of Palmore concerning coplanar central configurations was incorrect for N equal masses where 6 ⩽ N ⩽ 20 but presented a simple analytic argument only for N = 6. Using straightforward analytic arguments and inequalities we also disprove this theorem for 2N equal masses with N ⩾ 3. Kluwer Academic Publishers, 1990 Central configurations nationallicence N -body problem nationallicence collision orbits nationallicence Slaminka Edward Auburn University, USA aut Woerner Kevin Northwestern University, USA aut Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 48/4(1990-12-01), 347-355 0923-2958 48:4<347 1990 48 10569 https://doi.org/10.1007/BF00049389 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00049389 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Slaminka Edward Auburn University, USA aut NATIONALLICENCE 700 1- Woerner Kevin Northwestern University, USA aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 48/4(1990-12-01), 347-355 0923-2958 48:4<347 1990 48 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer