Title :
Motion of a rotationally symmetric ellipsoid on a fixed perfectly rough horizontal plane
Author :
Kuleshov, Alexander S. ; Dobrynin, Dmitry S.
Author_Institution :
Dept. of Mech. & Math., Lomonosov Moscow State Univ., Moscow, Russia
Abstract :
We consider the problem of motion of a rotationally symmetric ellipsoid on a fixed perfectly rough plane. Using the Kovacic algorithm we found several cases when equations of motion of the ellipsoid can be completely solved in quadratures with the additional restrictions on the parameters of the ellipsoid - its semiaxes and moments of inertia.
Keywords :
integration; Kovacic algorithm; equations of motion; inertia; rotationally symmetric ellipsoid; Angular velocity; Differential equations; Electronic mail; Ellipsoids; Gravity; Heuristic algorithms;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106743
