Geodesic
Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 327-342

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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.
Keywords: potential force field, Rodrigues – Hamilton parameters, Poinsot method.
Mots-clés : Euler angles 
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     author = {G. V. Gorr and D. N. Tkachenko and E. K. Shchetinina},
     title = {Research on the {Motion} of a {Body} in a {Potential} {Force} {Field} in the {Case} of {Three} {Invariant} {Relations}},
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G. V. Gorr; D. N. Tkachenko; E. K. Shchetinina. Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 327-342. http://geodesic.mathdoc.fr/item/ND_2019_15_3_a9/