A note on some exact analytical solutions of the rotation of a rigid body with a external torque

• Autores: Manuel Calvo Pinilla, José María Franco García, Juan Ignacio Montijano Torcal, Luis Rández García
• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 35, 2011, págs. 27-39
• Idioma: inglés
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• Resumen

  • In two recent papers of M. Romano (Cel. Mech. 100: 181–189, 2008 and Cel.

    Mech. 101: 375–390, 2008) this author has derived new exact analytical solutions that describe both the dynamic and kinematic behavior a rigid body around a fixed point with spherical and symmetric ellipsoids of inertia self excited by some special torques in the fixed body reference frame. The aim of this note is to give an alternative simplified derivation of these solutions by using the symmetries of the system and suitable matrix transformations and to show that a wider class of analytical solutions may be derived.