  The peculiarities of the inverse square law of Newtonian gravity in standard
Big Bang Cosmology are discussed. It is shown that the incorporation of an
additive term to Newtonian gravitation, as the inverse Yukawa-like field,
allows remove the incompatibility between the flatness of the Universe and the
density of matter in the Friedmann equation, provides a new approach for dark
energy, and enable theoretical deduce the Hubble-Lemaitre's law. The source of
this inverse Yukawa-like field is the ordinary baryonic matter and represents
the large-scale contribution of gravity in accordance with the Mach's
principle. It's heuristically build from a specular reflection of the Yukawa
potential, in agreement with astronomical and laboratory observables, result
null in the inner solar system, weakly attractive in ranges of interstellar
distances, very attractive in distance ranges comparable to the clusters of
galaxies and repulsive in cosmic scales. Its implications in the missing mass
of Zwicky, Virial Theorem, Kepler's Third Law in Globular Clusters, rotations
curves of galaxies, gravitational redshift and the Jean's mass are discussed.
The inclusion of the inverse Yukawa-like field in Newtonian gravitation
predicts a graviton mass of at least 10-64 kg and could be an alternative to
the paradigm of non-baryonic dark matter concomitant with the observables of
the Big Bang.
