the orbit models, the calculation methods of sub-satellite and the coverage judgement which take into account the J₂ perturbations are given first, and then an iterating methods of designing satellite orbit with repeat ground trace is proposed. The near-circle low earth orbits which repeat after 12、13、14、15 orbits per day are often chosen in designing regional partial coverage constellations, so the heights and the inclination angles of these 4 kinds orbits are listed in the end.