Photon deflection and precession of the periastron in terms of spatial gravitational fields

We show that a Maxwell-like system of equations for spatial gravitational fields $\mathbf{g}$ and $\mathbf{B}$ (latter being the analogy of a magnetic field), modified to include an extra term for the $\mathbf{B}$ field in the expression for force, leads to the correct values for the photon deflection angle and for the precession of the periastron.