This paper analyses concretely the theory of M-methods, establishes the model of steady Satellite Orbit Determination
(SOD) based on M-methods, which can farthest restrain gross errors so as to enhance the precision of SOD , and designs
effective iterative algorithm named ameliorative Gauss-Newton method, by researching on the application condition of
M-methods and the practical matter encountered in SOD. Finally the paper carries out simulation experiment to prove
the validity of strategy put forward above. The results of experiment show that the algorithm can strongly improve the
precision of the satellite, and markedly reduce the disadvantageous effect of gross errors. The algorithm can be realized
easily in application to engineering.
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