Extended Integrative Combined Orbit Determination Models Based on Prior Trajectory Information and Optimal Weighting Algorithm

Abstract

For multi-LEO combined orbit determination (COD) satellite-network based on space-based tracking telemetry and command (STTC) satellites, kinematic orbit information based on precise point positioning (PPP) method is not very precise because of observation data precision and GDOP of STTC constellation. Integrative COD models based on kinematic and dynamic information are brought forward in this paper to realize dynamic smoothness of kinematic orbit information, which can be gained more perfect COD precision of LEO satellite-network. Firstly, integrative COD models were constituted based on kinematic orbit of PPP method and dynamic trajectory information. Then extended integrative COD models based on prior trajectory information considering nonlinear semi-parametric modeling of observation models errors and sparse parameters modeling of satellites trajectory dynamic models were established, and the optimal weighting algorithm of multi-structural nonlinear COD models based on extended prior information was designed. Theoretical analysis and simulation computation results show that COD weighting method based on prior trajectory information can realize LEOs dynamic information optimal matching with kinematic prior information, which further ameliorate COD precision of STTC satellite constellation and LEOs.