Abstract
The empirical description of the evolution of a physical system is the account of observed changes of state of the system in time, the measure of time being that of the Systeme International. To describe the Sun-Mercury system Einstein proposed a model based on the assumption that the evolution of the system, i.e. its relative space-time trajectory describes a geodesic on space-time endowed with the Schwarzschild metric. The evolution parameter of a geodesic is, however, an affine parameter or equivalently the proper time. However, the geodesic equation can be expressed in coordinate time. It has been shown that the solution of this equation reproduces the empirical evolution. A possiblee interptetation of the proper time is presented.
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