Firstly

high precision denotation model of satellite orbit dynamics based on physics parameter model and mathematics model which associates sparse parameter representation with time sequence analysis

nonlinear semi-parametric combined observation model based on system error parameters modeling and non-parametric component denotation of model error

and combined orbit determination(COD) parameterized fusion model are established aiming at multi-satellite high precision COD based on bi-satellite positioning system and low earth orbit(LEO).Then parameters estimation algorithms of the former two kinds of models and the combined estimation algorithm of parameterized fusion model are designed.Theoretic analysis and simulated computation results show that the high precision denotation method of sparse parameters model and the optimized modeling method of observation model considering model error can improve modeling precision

and combined estimation algorithm of parameterized fusion model can synchronously ameliorate orbit determination precision ulteriorly.