From deterministic equations of compressible oscillating ether derived based on the laws of classical mechanics, the values of the energy levels of the ground excited and hydrino states of the hydrogen atom are obtained, which are the values of the electron binding energy with the proton. The Stern-Gerlach, Einstein-de Haas and Zeeman experiments are clarified. The formulas of the fine structure of the hydrogen atom are obtained in the absence of relativistic effects and the orbital motion of the electron in the considered ether model.

Keywords: ether equations, hydrogen atom, binding energy, ground, excited and hydrino states, the interaction with the magnetic fields, the fine structure.