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Fig. 3

image

Light bending curves from the exact Eq. (2) (solid lines), compared to those from the approximate Eq. (18) (dashed red lines) for R = 2rs, R = 3rs, and R = 5rs. The dotted blue line represents the threshold from trajectories without a turning point (0 ≤ απ/ 2) to trajectories with a turning point (π/ 2 ≤ ααmax). The exact light bending curve for R = 1.55rs is also plotted (dotted-dashed orange line) to show strong-field effects. The lower panels show the difference between the curves from the original and approximate equations.

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