• DocumentCode
    708733
  • 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
  • fYear
    2015
  • fDate
    2-6 Feb. 2015
  • Firstpage
    1
  • Lastpage
    4
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
  • Conference_Location
    Saint Petersburg
  • Type

    conf

  • DOI
    10.1109/POLYAKHOV.2015.7106743
  • Filename
    7106743
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=708733