TY - JOUR
T1 - Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses
AU - Fernandes, Antonio Carlos
AU - Llibre, Jaume
AU - Mello, Luis Fernando
PY - 2017/10/1
Y1 - 2017/10/1
N2 - © 2017, Springer-Verlag Berlin Heidelberg. We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex quadrilateral. Under these assumptions we prove that the isosceles trapezoid is the unique central configuration.
AB - © 2017, Springer-Verlag Berlin Heidelberg. We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex quadrilateral. Under these assumptions we prove that the isosceles trapezoid is the unique central configuration.
UR - https://ddd.uab.cat/record/182500
U2 - https://doi.org/10.1007/s00205-017-1134-z
DO - https://doi.org/10.1007/s00205-017-1134-z
M3 - Article
VL - 226
SP - 303
EP - 320
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
SN - 0003-9527
IS - 1
ER -