http://arxiv.org/abs/2203.14993
We overview angle-based models to study planar symmetric central configurations of four bodies. We present models to determine the masses given the shape of the configuration and the shape-type of the configuration given the masses. We also describe a diagram-based method for the counting of the shape-types in the case of the concave configurations. As an application, we determine planar symmetric central configurations containing bodies of Earth’s and Moon’s masses.
Z. Czirják, B. Érdi and E. Forgács-Dajka
Wed, 30 Mar 22
20/77
Comments: 15 pages, submitted to Physical Review E