Integration of Kirchhoff-Poisson's equations in case of linear invariant relation

The paper continues studying the properties of solutions of the Kirchhoff-Poisson equations when they have one linear invariant relation. A case, when typical parameter $μ_0$ is equal to zero, and polynomial that defines a dependence the angle of nutation by time has multiple roots, is considered. It is obtained the explicit dependence of basic variables by time.