SHORT-ARC INITIAL ORBIT DETERMINATION METHOD BASED ON GAUSS SOLUTION GROUP OPTIMIZATION

摘要

A short-arc initial orbit determination method based on Gauss solution group optimization, belonging to the field of astrodynamics. The method comprises: grouping observation data, and for each group of data, using a Gauss method to obtain target state vectors at corresponding moments to form preliminarily estimated solution sets (S1); splitting the preliminarily estimated solution sets into position sub-vector solution sets and velocity sub-vector solution sets, and respectively grouping same to obtain a position sub-vector solution group and a velocity sub-vector solution group (S2); based on the position sub-vector solution group and the velocity sub-vector solution group, generating a two-dimensional trajectory solution set (S3); and using a trajectory optimization method to evaluate each two-dimensional trajectory, and calculating orbit elements corresponding to the optimal two-dimensional trajectory, thereby completing initial orbit determination (S4). Observation data are grouped and Gauss's law is called for each group of data, such that the utilization degree of data is improved, and short-arc target orbit elements finally determined in conjunction with multiple groups of data are closer to a true value. Gauss solution group optimization is used for trajectory evaluation, and orbit elements corresponding to the optimal two-dimensional trajectory serve as an estimated solution, thereby solving the problem of multiple roots being present.