In the MS-CG method for a dynamical system of isotropic CG particles, the CG mapping and potential energy function are chosen so that the equilibrium phase-space distribution of the CG system is consistent with that of the FG system from which it is derived, since this choice guarantees that any equilibrium average property of the CG system will be consistent with that of the FG system. We impose the same condition here for anisotropic CG particles and assume that the equilibrium phase-space probability distribution for both the FG and CG systems can be factored into the product of a configurational probability distribution and a momentum probability distribution. From the FG Hamiltonian in Eq. ( ), the normalized equilibrium configurational distribution of the FG system in the canonical ensemble is