The motion of the Local group with respect to the microwave background frame : local anomaly and effect of clusters at distances >40h-1 Mpc.

A sample of elliptical galaxies (which if we search for a single inhomogeneity with the standard relative density fluctuation proportional to r^-2^, leads to the presence of the Great Attractor at a distance of ~44 h^-1^ Mpc) is used in order to obtain information on the infall velocity towards the prominent clusters at distances <= 80 h^-1^ Mpc and the push from some local voids. We compare the results with the IRAS ones. From the ellipticals, we obtain that the large clusters at distances > 40 h^-1^ Mpc (Pavo, N1600, North Centaurus, Perseus-Pisces and Coma) cause large motions (>100 km s^-1^) at the local Group. However, the combined contribution (to the Local Group motion) of these far structures is weak. On the other hand, the Local Group motion may be mainly due to the matter close to us (the complex Virgo-Hydra- Centaurus). The data are also consistent with the existence of a very local inhomogeneity in the halo of Virgo or a "thermal" motion of the Local Group (the unexplained component of our peculiar velocity is about 200 km s^-1^ towards R.A. < 6h, 10^deg^ < DEC < 30^deg^), i. e., a local anomaly.