  With continuous advances in technologies related to deep space ranging and
satellite gravity gradiometry, corrections from general relativity to the
dynamics of relative orbital motions will certainly become important. In this
work, we extend,in a systematic way, the Hill-Clohessy-Wiltshire Equations to
include the complete first order post-Newtonian effects from general
relativity. Within certain short time limit, post-Newtonian corrections to
general periodic solutions of the Hill-Clohessy-Wiltshire Equations are also
worked out.
