Four-body central configurations with adjacent equal masses

作者：Deng, Yiyang^*; Li, Bingyu; Zhang, Shiqing

来源：Journal of Geometry and Physics, 2017, 114: 329-335.

DOI：10.1016/j.geomphys.2016.12.009

• Four-body problem
• Convex central configurations
• Isosceles trapezoid
• Triangle areas

For any convex non-collinear central configuration of the planar Newtonian 4-body problem with adjacent equal masses m1 = m2 not equal m3 = m4, with equal lengths for the two diagonals, we prove it must possess a symmetry and must be an isosceles trapezoid; furthermore, which is also an isosceles trapezoid when the length between m1 and m4 equals the length between m2 and m3.

• 出版日期2017-4
• 单位成都理工大学; 四川大学