Multi-LEO combined orbit determination modeling based on hybrid satellite constellation and nonlinear optimal estimation algorithm

For multi-LEO combined orbit determination (COD) satellite-network based on space-based tracking telemetry and command (STTC) hybrid satellite constellation (HSC), if kinematic orbit information of low earth orbit (LEO) can be taken full advantage of participating in dynamic precise orbit determination (POD) and making them achieve best matching, integrative COD models based on kinematic and dynamic information can be constructed to realize dynamic smoothness of kinematic information. Firstly, multi-LEO COD models based on kinematic and dynamic information are constituted on base of analyzing the design method of STTC HSC and system composition of COD satellite-network. Then integrative COD models based on prior trajectory information considering nonlinear semi-parametric modeling of observation models errors and sparse parameters modeling of dynamic models were established, and the nonlinear optimal weighting estimation algorithm of multi-structural nonlinear COD models were designed. Theoretical analysis and simulation computation results show that COD nonlinear optimal weighting method based on prior trajectory information can realize LEOs dynamic information optimal matching with kinematic prior information, and can restrain nonlinear influence factor including measure models and ephemeris errors to the effects of POD precision by considering models errors modeling and dynamic models sparse parameters denotation.