where I FG,I,q , I I,q , and L I,q are the FG moment of inertia, CG moment of inertia, and angular momentum about the q axis for CG particle I, and ⟨• • • ⟩ R I ,Ω I denotes an equilibrium average over FG configurations consistent with the coordinate mapping of CG particle I. This condition can be simplified to eliminate the CG moment of inertia I I,q from the right-hand side by using Eq. ( ) to write it in terms of CG angular velocities as