The Axisymmetric Central Configurations of the Four-Body Problem with Three Equal Masses

@article{Kovri2020TheAC,
  title={The Axisymmetric Central Configurations of the Four-Body Problem with Three Equal Masses},
  author={Emese Kov{\'a}ri and B{\'a}lint {\'E}rdi},
  journal={Symmetry},
  year={2020},
  volume={12},
  pages={648}
}
In the studied axisymmetric case of the central four-body problem, the axis of symmetry is defined by two unequal-mass bodies, while the other two bodies are situated symmetrically with respect to this axis and have equal masses. Here, we consider a special case of the problem and assume that three of the masses are equal. Using a recently found analytical solution of the general case, we formulate the equations of condition for three equal masses analytically and solve them numerically. A… 

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