Abstract A Lagrangian treatment of various forms of the rigid-body equations of motion is presented in this paper, including the most general expressions, which are the Boltzmann-Hamel equations. One key result that enables the derivations is the expression for the Hamel coefficients for the special case of rotational motion of a rigid body. The Hamel coefficients naturally arise in the Lagrange equations for quasi-coordinates. Another key result that enables the derivations is the expression for additional Hamel coefficients that arise when the translational-velocity vector of the mass center is coordinatized (expressed) along body-fixed axes. One interesting discovery is that the Boltzmann-Hamel equations are often misrepresented in standard textbooks. The misrepresentation stems from the fact that care is not exercised to distinguish the functional forms of the kinetic-energy expression.


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    Titel :

    Hamel Coefficients for the Rotational Motion of a Rigid Body


    Beteiligte:
    Hurtado, J. E. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2004




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch



    Klassifikation :

    Lokalklassifikation TIB:    770/7040
    BKL:    55.60 Raumfahrttechnik



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