Abstract
In this paper, we derive new relative positioning algorithms based on new GR models (: GNSS Regression models). We have proposed GR models for GNSS navigation such that the precise point positiong algorithms were derived. The derived PPP algorithm achieved a positioning accuracy at the decimeter error level without any external information such as from WAAS. After introducing more precise GR models which contain the so-called receiver's and satellite's hardware delays, we extend our PPP algorithms to relative positioning occasion based on applying the GR equations such that we derive new simple recursive relative positioning algorithms. Finally we show the results of relative positioning for real GPS deta.