We saw that the strictly Newtonian problem has the Lagrangean formulation
$$\frac{d}{{dt}}\frac{{\partial T}}{{\partial \dot q_s }} - \frac{{\partial T}}{{\partial q_s }} - Q_s + \sum\limits_{r = 1}^l {\lambda _r B_{rs} = 0} \qquad {(s = 1, 2, \ldots , n),}$$
where the equality constraints are
$$\sum\limits_{s = 1}^n {B_{rs} \dot q_s + B_r = 0} \qquad {(r = 1, 2, \ldots , l).}$$


Lagrangean Function Legendre Transformation Momentum Integral Holonomic System Spherical Pendulum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Reinhardt M. Rosenberg
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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