  In a recent series of papers, the authors introduced a new Relativistic
Newtonian Dynamics (RND) and tested its validity by the accurate prediction of
the gravitational time dilation, the anomalous precession of Mercury, the
periastron advance of any binary and the Shapiro time delay. This dynamics
incorporates the influence of potential energy on spacetime in Newtonian
dynamics and, unlike Einstein's General Relativity, treats gravity as a force
without the need to curve spacetime. In this paper, this dynamics is applied to
derive the gravitational deflection of both objects with non-zero mass and of
massless particles passing the strong gravitating field of a massive body.
Equations for the trajectory and the resulting analytical expressions for the
deflection angle, in terms of the distance and velocity at the point of closest
approach to the massive object, were derived in both cases. It is shown that
with a carefully defined limit, the trajectory of a massless particle is the
limiting case of that of an object with non-zero mass. In the "weak" deflection
limit, the derived expression for the deflection angle of a massless particle
(photon) reproduces the experimentally tested Einstein's formula for weak
gravitational lensing of a light ray, thereby providing another test for the
validity of the RND.
