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Taking the approximate gravitational lensing formula, {\hat {\alpha }}={\frac {4GM}{c^{2}b}}, and plugging in the sun's mass, 1.9884*1030 kg, and the sun's radius 6.955*10m the approximate value of the angle is 0.00000849240953508 radians. Then making a resultant velocity triangle and doing trigonometry helps find the rest of the values needed to find the Lorentz factor on the surface of the sun.

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since light was already travelling at the speed of light, and the speed of light is constant and cannot be exceeded, the time of the resultant ray of light is dilated compared to the ray's original path. The last step is to divide the speed of light by segment b of the triangle to get the approximate Lorentz factor for the surface of the sun.

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