  We argued that the standard field scalar potential couldn't be widely used
for getting the adequate galaxies' curve lines and determining the profiles of
dark matter their halo. For discovering the global properties of scalar fields
that can describe the observable characteristics of dark matter on the
cosmological space and time scales, we propose the simplest form of central
symmetric potential celestial - mechanical type, i.e. U(\phi) = -\mu/\phi. It
was shown that this potential allows get rather satisfactorily dark matter
profiles and rotational curves lines for dwarf galaxies. The good agreement
with some previous results, based on the N-body simulation method, was pointed
out. A new possibility of dwarf galaxies' masses estimation was given, also.
