Meccanica celeste extragalattica: cinematica

In a previous paper the problem of establishing how far a large scale description of the Universe is possible has been discussed by working uniquely in the framework of classical mechanics and without resorting to the Newtonian theory of gravitation. In this context a series of results, without proof, have been briefly outlined. In this work the essentially kinematical results related to the above problem are deduced in depth and in detail. The starting assumptions these results are based on are only the following: physical space is ordinary three-dimensional Euclidean space; the Universe, on a large scale, is homogeneous; typical galaxies are receding from our galaxy with radial motion. By assuming the incoherent matter scheme for the Universe, from these assumptions follow: the law which describes the expansion of the Universe, i.e. Hubble’s law; the existence of a class of frames of reference each of which is in accelerated translatory motion with respect to the others and with the Universe that presents the same kinematical behaviour with respect to them; the cosmological principle; the inseparability between effective and fictitious forces acting on a typical galaxy; that these results remain unchanged when space rather than the Universe is considered to be expanding; the metric of the space which is considered to be expanding.