Introduzione

Abstract

En
An axiomatic approach to classical kinematics is developed. An affine four dimensional space (event space), a three dimensional subspace(Error rendering LaTeX formula) (simultaneity space), an euclidean conformal metric G on(Error rendering LaTeX formula) and an orientation on (time) constitute the general framework. The one-body absolute kinematics considers an absolute motion(Error rendering LaTeX formula), its absolute velocity and accelaration . The continum absolute kinematics considers a family of disjoint motions filling E and their velocities, accelerations and jacobians. A continum can be taken as a frame of reference, for it determines the position map . The set of position P is a C^∈fty manifold, diffeomorphic to affine three dimensional spaces and endowed with a time depending metric , a time depending affine connection , a Coriolis map and a dragging map . A classification of special frames considers affine, rigid, translating and inertial frames, characterized by the properties of their motions and their position spaces. The observed kinematics condiders the observed motion , its velocity and acceleration and compares them with the absolute quantities. By comparison of observed kinematics, with respect to two frames, the addition velocities and generalized Coriolis theorem is obtained.