In this paper, the slant range error introduced by the "stop-and-go" assumption is analyzed in detail. Owing to the high orbit and long synthetic aperture time of geosynchronous SAR (Geo-SAR), the slant range error introduced by the "stop-and-go" assumption should be considered. In addition, an accurate signal propagation delay time equation of Geo-SAR based on circle orbit is presented, and the error of the "stop-andgo" assumption is demonstrated by simulation. An "equivalent position" model is proposed and validated by simulation. The error of various powers of "stop-and-go" slant range is analyzed using Legendre orthogonal series expansion. The limitation of the stop-and-so assumption is proved by point target simulation.