Algorithm for ground positioning by simultaneously imaging stars and low orbit satellites

doi:10.11947/j.AGCS.2024.20230079

Abstract

Abstract:

Celestial positioning is widely used in land-based, sea-based, air-based and space-based platforms for its advantages of strong anti-interference, good concealment and non-accumulated error with time. In recent years, the rapid development of low-orbit giant constellation technology has provided an opportunity for the development of navigation technology. In this paper, we propose a positioning algorithm based on optical observation of low-Earth orbiter (LEO). First of all, the angles between the LEO and stars are considered as the basic observation, and the positioning model is derived in details. Then, the main error sources impacting on the positioning accuracy is analyzed, and the error propagation formulas are given. At last, the simulation experiments based on the Starlink constellation are conducted, the results of which show that the average positioning accuracy of this algorithm can totally reaches 30.5 m, with 4.3 m in north direction, 6.3 m in east direction and 29.5 m in vertical direction. The algorithm not only owns the advantages of traditional celestial positioning, but also gets rid of horizontal datum, providing a new way to develop the miniaturized, fast and automated celestial navigation equipment without the need of horizontal reference.

Key words: astronomical positioning, low-orbiting satellites, inter-satellite angular separation, precision analysis

CLC Number:

P227

Rongwei ZHU, Yinhu ZHAN, Guangyun LI. Algorithm for ground positioning by simultaneously imaging stars and low orbit satellites[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(7): 1278-1287.

Figures/Tables 7

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项目	内容指标
试验平台	Legion Y7000P 2020H型笔记本电脑
测站坐标	113.092 8°E，34.534 4°N，高程460 m
观测时段	UTC 2023-04-19 20：00：00-20：50：00
仿真步长/min	1
视场角/（°）	120
极限星等	6.5
星间角距测量精度/（″）	30
大气折射改正精度（60°）/（″）	5
时间精度/ms	1
卫星轨道精度/m	10
低轨星座	Starlink
地影模型	柱形地影
恒星星表	依巴谷星表