Donetsk, 74 Rosa Luxemburg street
Institute of applied mathematics and mechanics
Gorr G. V., Tkachenko D., Shchetinina E. K.
Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
2019, Vol. 15, no. 3, pp. 327-342
The problem of the motion of a rigid body with a fixed point in a potential force field is considered. A new case of three nonlinear invariant relations of the equations of motion is presented. The properties of Euler angles, Rodrigues – Hamilton parameters, and angular velocity hodographs in the Poinsot method are investigated using an integrated approach in the interpretation of body motion.