an:02218028
Zbl 1076.70002
Chevallier, D. P.
On the foundations of ordinary and generalized rigid body dynamics and the principle of objectivity
EN
Arch. Mech. 56, No. 4, 313-353 (2004).
00110270
2004
j
70E15 70G45 70G65
Galilei group; Lie group; inertia forces
Summary: This article presents the foundations of Newton-Euler rigid body dynamics and its generalized forms in the light of the objectivity principle. We prove that most of the features of dynamics may be directly deduced from this principle and from properties of the group defining the geometry. In particular, these deductions seem to close the conjectures about the relevance of the objectivity principle to dynamics.