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We propose a perturbative method to compute the deflection angle of both nulland massive particles for source and detector at finite distance. This methodapplies universally to the motion of particles with general velocity in theequatorial plane of stationary axisymmetric spacetimes or static sphericalsymmetric spacetimes that are asymptotically flat. The resultant deflectionangle automatically arranges into a quasi-inverse series form of the impactparameter, with coefficients depending on the metric functions, the signalvelocity and the source and detector locations through the apparent angles. Inthe large impact parameter limit, the series coefficients are reduced torational functions of sine/cosine functions of the zero order apparent angle.

Perturbative deflection angle for signal with finite distance and general velocities