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ESA was (and still is) interested in new concepts for global navigation satellite systems.
One of the concepts is based on the theory of general relativity, however, it has never been simulated before. The algorithms are numerically very challenging to implement so that the precision and the speed of calculations is maintained.
Develop a simulator for a relativistic positioning system. Take special care to maintain numerical stability. Implement in C/C++ and Fortran 90/95, parallelize with MPI, to obtain low execution times.