calculus of light deviation around sun

[lightbender]

Hi Folks. Here is a problem I have been working on for some time, but I can't solve it. Perhaps there's no solution.
Assume a ray of light comes from infinity and would without any external influence just graze the sun's surface. But the ray does suffer an external influence: it is bended by space flowing radially at escape velocity into the sun's center. How would one calculate or estimate the actual amount of bending in meters at the surface of the sun at the apex of the curved path?
While the physical situation presented in this problem may not be real, the math problem should be solvable (or not). If infinity presents a problem, then an upper limit of 1 AU (1.5 x 10^11 meters) may be used.

 

[Deleted member 4993]

Hi Folks. Here is a problem I have been working on for some time, but I can't solve it. Perhaps there's no solution.
Assume a ray of light comes from infinity and would without any external influence just graze the sun's surface. But the ray does suffer an external influence: it is bended by space flowing radially at escape velocity into the sun's center. How would one calculate or estimate the actual amount of bending in meters at the surface of the sun at the apex of the curved path?
While the physical situation presented in this problem may not be real, the math problem should be solvable (or not). If infinity presents a problem, then an upper limit of 1 AU (1.5 x 10^11 meters) may be used.

Please post the exact problem posed to you - including graphics, assumptions and example of your attempts (even if you know it is wrong).