Filaments and voids in planar central configurations

Abstract

We have numerically computed planar central configurations of $n=1000$ bodies of equal masses. A classification of central configurations is proposed based on the numerical value of the complexity, $\mathcal{C}$. The main result of our work is the discovery of filaments and voids in planar central configurations with random complexity values. Suggestions are given for future work in the context of central configurations with random complexity values.

9 pages, 7 figures