Non-relativistic Extended Gravity and its applications across different
  astrophysical scales
  Using dimensional analysis techniques we present an extension of Newton's
gravitational theory built under the assumption that Milgrom's acceleration
constant is a fundamental quantity of nature. The gravitational force converges
to Newton's gravity and to a MOND-like description in two different mass and
length regimes. It is shown that a modification on the force sector (and not in
the dynamical one as MOND does) is more convenient and can reproduce and
predict different phenomena usually ascribed to dark matter at the
non-relativistic level.
