关键词: 短弧关联, 仅测角, 观测信息误差, 容许域, 多点优化, 卡方检验, 误差特性

Abstract: The initial orbit determination is important to cataloging the space objects. It is challenging to determine the initial orbit using optical anglesonly observations effectively. A prominent method to solve the shortarc problem is to correlate and match the shortarcs obtained at different times to find observations from the same object. Based on the admissible region, the minimum error between the predicted sequence and the actual observation sequence was calculated by finding the optimal orbit to fit multiple optical observations. Then, based on the study of the statistical characteristics of observation errors, the feasibility of the linearized error propagation method in applying shortarc observations was theoretically verified and a reasonable error limit was given. The chisquare test was used to determine the correlation between shortarcs. At the same time, the results applying the proposed shortarc correlation analysis method to LEO, HEO, MEO and GEO orbits were given. The difficulty of applying in the longinterval loworbit object observations was described. Aiming at resolving this difficulty, a method was proposed to improve the loworbit observations association using the error characteristic law of the angle predicted value. The results show that the success rate of correlation recognition for LEO shortarc observations has increased from 87% to 99%.

Key words: shortarc association, anglesonly, observation error, admissible region, multipoint optimization, chisquare test, error characteristics