  A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian
has been recently proposed in Ref. arXiv:2009.04434(v4). This work demonstrates
that the modified gravitational force acting on a test particle is analogous to
that derived from the Manev potential. Specifically, an additional term
$\propto r^{-3}$ emerges alongside the conventional Newtonian component. We
analyse the predicted expression for the pericenter advance and the Roche limit
and use them to constraint the theory's single free parameter $\omega$ which is
analogous to the Brans-Dicke parameter. At the same time this theory is able to
solve the advance of Mercury's perihelion, we also show that there is no
relevant impact on the Roche limit in comparison to the well known Newtonian
results.
