Complete list of first integrals for dynamical equations of a rigid body motion in resistant medium under the use of linear damp / M. V. Shamolin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 4. P. 44-47 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

A new case of integrability in the spatial problem of rigid body motion with consideration of the nonconservative moment of forces is discussed. A nonconservative force field of action of the medium on the body is constructed. Contrary to some previous author's works, a linear dependence of this field on the angular velocity is taken into account, although the introducing of this dependence into the components of such a field is not obvious.

Key words: rigid body, resisting medium, dynamic equations, phase space, transcendental first integral.

№ 4/2012