Fr.: distance propre
A distance between two nearby events in the frame in which they occur at the same time. It is the distance measured by a ruler at the time of observation. Hence, for a cosmological time t, Dproper = DC . a(t), where DC is the → comoving distance, and a(t) is the → scale factor. In the present epoch a = a(tobs) = 1, and Dproper = DC.