Optics in the Schwarzschild space-time

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Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary points in space. Here we give the complete solution of this problem in the Schwarzschild space-time.
14 pages, 10 figures, type C orbits added, analytic solutions for time of flight of photons for all 3 types of orbits added

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