  It has been demonstrated that the difference between the Renormalised Brane
World (RBW) model and the Lambda Cold Dark Matter ($\Lambda$CDM) model occurs
only at sufficiently distant times. In this paper, it is shown that for
spherically symmetric situations an analog deviation between the RBW model and
Newton's theory occurs at large distances. More precisely, this deviation of
the RBW model is nothing other than the explanation of Milgrom's hypothesis and
follows from itself. Therefore, the results of this paper explains flat
rotation curves of galaxies without dark matter.
