Observability analysis of satellite autonomous orbit determination with modeling and measurement errors

doi:10.16708/j.cnki.1000-758X.2023.0035

Abstract

Abstract: Autonomous orbit determination for a satellite with modelling and measurement errors is concerned in this paper．It’s well known that the performance of autonomous orbit determination is greatly affected by systematic errors in the dynamic model and the measurement.One way to deal with these errors is treating them as unknown biases and estimating them with dynamic states of the satellite together.Based on k-order local weak observability theory，sufficient and necessary conditions of korder local weak observability were mathematically proved for the orbit determination system with these errors.The extended Kalman filter was applied to estimate orbital states and these systematic errors simultaneously．Simulation results show that the estimation algorithm is effective when the modeling errors and measurement errors are constant or slow time-varying for non-circular orbits.

Key words: orbit determination, modeling error, measurement error, autonomous navigation, observability analysis, nonlinear systems

ZHOU Bochao, LI Yong, ZHANG Ai, CUI Shihang. Observability analysis of satellite autonomous orbit determination with modeling and measurement errors[J]. Chinese Space Science and Technology, 2023, 43(3): 25-34.

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URL: http://journal26.magtechjournal.com/kjkxjs/EN/10.16708/j.cnki.1000-758X.2023.0035

http://journal26.magtechjournal.com/kjkxjs/EN/Y2023/V43/I3/25

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Observability analysis of satellite autonomous orbit determination with modeling and measurement errors

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