It is important to get satellite coordinates continually in GPS positioning. Real time satellite coordinates can be gained according to broadcast ephemeris received. A great deal of memory is required in order to get satellite coordinates. The Chebyshev polynomial was applied to fit satellite coordinates of the broadcast ephemeris to realize satellite orbit standardization. The precision in fitting satellite coordinates of broadcast ephemeris by the Chebyshev polynomial and the rational choice of polynomial orders of and time intervals are analyzed. Some meaningful conclusions are made.