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All possible orbital trajectories and their analytical expressions in theSchwarzschild metric are presented in a single complete map characterized bytwo dimensionless parameters. While three possible pairs of parameters withdifferent advantages are described, the parameter space that gives the mostconvenient reduction to the Newtonian case is singled out and used which leadsto a new insight on Newtonian limits among other results. Numerous analyticrelations are presented. A comparison is made with the widely used formulationand presentation given by S. Chandrasekhar.

Characterization of all possible orbits in the Schwarzschild metric revisited