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A method is proposed for constraining the Galactic gravitational potentialfrom high precision observations of the phase space coordinates of a system ofrelaxed tracers. The method relies on an "ergodic" assumption that theobservations are representative of the state of the system at any other time.The observed coordinates serve as initial conditions for moving the tracersforward in time in an assumed model for the gravitational field. The validityof the model is assessed by the statistical equivalence between theobservations and the distribution of tracers at randomly selected times. Theapplicability of this ergodic method is not restricted by any assumption on theform or symmetry of the potential. However, it requires high recisionobservations as those that will be obtained from missions like SIM and GAIA.

Ergodic Considerations in the Gravitational Potential of the Milky Way