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The Lagrange’s equations for a rigid body and geometrical interpretations concerning the principles of impulse and kinetic moment. (English) Zbl 0815.70006
The six equations representing the principle of impulse (or better perhaps the principle of linear impulse) and the principle of kinetic moment (or better perhaps the principle of angular impulse) can be obtained from the Lagrange equations. But if the first three of them can be considered as being deduced in a three-dimensional Euclidean subvariety of the space \(V_ 6\) generated by the six variables, the other three are deduced in a subvariety of \(V_ 6\) in whose geometric structure the orthogonality and the Euclidean distance are not preserved.
70E15 Free motion of a rigid body
70H03 Lagrange’s equations