  The well known Geodesic Equation of General Relativity is newly formulated in
Weyl two-spinor language in a convenient way susceptible of being combined with
a set of two-spinor equations, equivalent to the Lorentz Force of
Electrodynamics, obtained in previous studies. General spinor equations of
motion for a test charged spin 1/2 particle in arbitrary electromagnetic and
gravitational fields fields are obtained describing not only spacetime
trajectories but also spin precession. For the case of the Schwarzschild metric
and radial trajectories, spinor equations unifying gravitational and electric
forces are obtained and solved for a weak gravitational field (or long distance
from the source).
