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I have a small problem of physics linked to a basic ray tracing algorithm. My problem is the following :

At $t = 0$, a photon at the position $(x_0 = x_\text{min},y_0 = y_\text{min})$ with the velocity $\vec{c} = c\vec{e}_x$ is entering a zone $(x_\text{min},y_\text{min},x_\text{max},y_\text{max})$ where a uniform gravitational force $\vec{f} = f(\cos\beta\,\vec{e}_x+\sin\beta\,\vec{e}_y)$ is applied. What is the equation of its trajectory (newtonian and relativistic)?

Image of problem

As I would like to be sure to make no mistakes, I would like your advices.

Thank you very much !

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Hi Vincent! This is a site for conceptual questions about physics, not for people to do your work for you. If you can edit your question to ask about the specific physics concept that is giving you trouble, I'll be happy to reopen it. See our FAQ and homework policy for more information. – David Zaslavsky♦ Jun 17 '12 at 20:37

closed as too localized by David Zaslavsky♦ Jun 17 '12 at 20:33

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