Abstract: Based on the analysis of the mathematical model of Martian repeat Sun-synchronous orbit, an approximately revisit cycle algorithm of return period was designed. Rounding processing the repeat factor,combining with the revisit characteristic function of the return track and judging the number of revisiting pitches spacer, the optimal approximate and suboptimal approximate revisit cycle were designed to achieve higher time resolution and cover the surface of the Mars. Further the relationship between the optimal regression cycle family and equatorial surface coverage of Mars was analyzed, and the orbit parameters corresponding to optimal regression cycle family was computed. It provides a reference for the track design for the initial exploration of Mars.