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Following renewed interest, the problem of whether the cosmological expansionaffects the dynamics of local systems is reconsidered. The cosmologicalcorrection to the equations of motion in the locally inertial Fermi normalframe (the relevant frame for astronomical observations) is computed. Theevolution equations for the cosmological perturbation of the two--body problemare solved in this frame. The effect on the orbit is insignificant as are theeffects on the galactic and galactic--cluster scales.Comment: To appear in the Astrophysical Journal, Late

The Influence of the Cosmological Expansion on Local Systems