Research on almanac parameters fitting algorithm for navigation satellites

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Astrometryand Celestial Mechanics: Ephemerides, Methods: Numerical

Scientific paper

Based on the 1st order perturbation analytic solution theory of satellite, the two improved almanac parameters fitting algorithm of navigation satellites and their user calculation arithmetic, so called the "8 parameters" and the "9 parameters" algorithm, are introduced in this article. For the "8 parameters" arithmetic, only with "", less parameters than the normal algorithm are needed to express the new almanac information. According the broadcasted new almanac parameter "", the user may calculate "," by the following formulas directly: ,. And more, the user may get more precise satellite position by correcting the at any epoch by for MEO, for IGSO/GEO. Based the "8 parameters" algorithm, the "9 parameters" algorithm is also different from the normal parameters, with "" replaced by "". can be calculated by . ,are the fitting errors in transversal direction at the last epoch and the first epoch respectively, means the fitting time span in seconds. The rest almanac parameters can be fitted by the former "8 parameters" algorithm. The user should correct the , according ?at any epoch by , . With the two new algorithm, many almanac fitting examples on some simulated satellite orbits or IGS GPS precise orbits are shown, which lead to the following conclusion: Less parameters are needed to fitting the so called 8 parameters almanac, while, the new algorithm can lead to higher accuracy for MEOs, quicker convergence through iterative calculation. The same is true for the so called 9 parameters almanac fitting arithmetic, which can lead to much higher accuracy than any other almanac fitting algorithm.

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