四体等腰梯形中心构型的一个性质

he central configuration of many-body problemsis the special positions, in which the relative position for each body to the center of masses is collinear with the forceaffected by the other bodies.Planar central configurations may generate periodic solutions,the existence and the classificationof central configurations have important sense.The four-body co-circular central configurations have two symmetric families, the kite andisosceles trapezoid. Using mutual distances as coordinates, we prove that if thefour-body central configurations is isosceles trapezoid, the diagonals of theisosceles trapezoid can't be vertical.