Solution of Equation (16). At t = 0 (Γ = 0), the rotation is prograde. Near synchronization, it changes from supersynchronous (y  >  0) to subsynchronous (y  <  0). Subsequently, it becomes retrograde. Left: the same path as Figure 7. Right: an alternative along a path that drives the solution from domain 0 to domain II, instead of domain I, and eventually to the white domain where the synchronous rotation is unstable. In both cases, Z = −10⁻³.