2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87789In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via variational approach. We consider a different variational approach, which is applied to each scale.LaTeX, 1 figure, pac99.cls, Proceedings PAC99Accelerator PhysicsChaotic DynamicsMathematical PhysicsComputational Physicstext