The paper deals with rotation of gyroscope in Hess' conditions. Motion equations of a solid body are established on the base of Hamiltonian formalism. There are some analytical researches and computer experiments were made on the base of numeral study of phase portrait of equations, which describe gyroscope's motion. The movements of gyroscope, which is submitted to Hess' conditions in the null constant of integral of an area and a light weight of the body, are investigated more detailed. The motion equations and integrals are expressed in variables Andoyer-Deprit. The heteroclinic trajectories of the dynamical system are examined by means of the new canonical variables.

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