  Both massless light ray and objects with nonzero mass experience trajectory
bending in a gravitational field. In this work the bending of trajectories of
massive objects in a Schwarzschild spacetime and the corresponding
gravitational lensing (GL) effects are studied. A particle sphere for
Schwarzschild black hole (BH) is found with its radius a simple function of the
particle velocity and proportional to the BH mass. A single master formula for
both the massless and massive particle bending angle is found, in the form of
an elliptic function depending only on the velocity and impact parameter. This
bending angle is expanded in both large and small velocity limits and large and
small impact parameter limits. The corresponding deflection angle for weak and
strong GL of massive particles are analyzed, and their corrections to the light
ray deflection angles are obtained. The dependence of the deflection angles on
the source angle and the particle speed is investigated. Finally we discuss the
potential applications of the results in hypervelocity star observations and in
determining mass/mass hierarchy of slow particles/objects.

General Relativity and Quantum Cosmology