  A central hyperplane arrangement in C^2 with multiplicity is called a `locus
configuration' if it satisfies a series of `locus equations' on each
hyperplane. Following Chalykh, Feigin and Veselov [CFV99], we demonstrate that
the first locus equation for each hyperplane corresponds to a force-balancing
equation on a related interacting particle system on C^*: the charged
trigonometric Calogero-Moser system. When the particles lie on S^1 in C^*,
there is a unique equilibrium for this system. For certain classes of particle
weight, this is enough to show that all the locus equations are satisfied,
producing explicit examples of real locus configurations. This in turn produces
new examples of Schr\"odinger operators with Baker-Akhiezer functions.
