which differs from Eq. (8). Equation (8) would have resulted if we had formed the nonlinear acceleration, found the coefficient of q, and then linearized. The reader can certainly appreciate the additional labor required to carry out these steps. Thus, it appears that the connection between Kane's method and the Gibbs-Appell equation is not so simple as Desloge implied. Kane's method never required the formation of nonlinear acceleration vectors, and so represents a considerable savings in labor when one is solely interested in linearized equations.
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Arun K. Banerjee (1987) studied this question.
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