Abstract
In this paper Modified gravity is studied over the weak field linearized
metric perturbation in post-Minkowskian theory. This is a different
aspect for studying the two body dynamics or binary system. Here despite
of usual self force originated from the radiative backscattering of
gravitational waves we are considering new paradigm of perturbation that
is multiplicative approach. The new perturbed metric is determined over
the multiplication of isolated background metric of curved space-time
for two different massive sources in post-Newtonian theory. To verify
the model and the theoretical result the binary system of Milky Way
central super massive black hole to Sun is considered. The computation
shows remarkable result without MOND for galactic flat rotation curve
and solar rotational speed 249km/sec, obviously very good agreement with
recent observed data.