(First paragraph deleted, according to comments see below, because erroneously assuming that gravitation is described by Newton's three basic laws of motion alone.)
Can it be derived from Newtonian laws that the angle of the bending of a photon's path moving close to earth does not depend on its energy and does not vary according to the wavelength of the photon? Even if all objects underlie one and the same acceleration in speed (termed g) they gain different momentum and energy when gravity exerts (red-shift, blue-shift). How can it be excluded that this gain of momentum and energy does not translate into differences in angles of inflections (as with Raleigh scattering which is a phenomenon of electro-magnetic, not gravitational field).?
In relativistic physics, there is the principle of equivalence of energy and mass. A photon that has no rest mass but has energy should be accelerated and bent by gravitational force according to its energy thus wavelenght.
However, the formula on the angle of bending and on the shift of frequency show that both angle of curvature of path and change of wavelength/frequency (redshift/blueshift) do not depend on the energy/wavelength/frequency/relativistic mass of the photon.
Why do mass and energy "cancel out"? The Newtonian deflection angle is: θ=2GM/rc2.
Related:
"Does 'special relativity + newtonian gravity' predict gravitational bending of light?