Observability analysis of initial orbit determination with bearings-only measurements from single satellite

被引：0
|
作者：
Wang P. [1 ]
An W. [1 ]
Sheng W. [1 ]
Yan T. [1 ]
机构：
[1] College of Electronic Science and Technology, National University of Defense Technology, Changsha
来源：
Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica | 2023年 / 44卷 / 15期
基金：
中国国家自然科学基金;
关键词：
bearings-only measurement; initial orbit determination; observability; single satellite; two-body system;
D O I：
10.7527/S1000-6893.2023.28798
中图分类号：
学科分类号：
摘要：
Initial orbit determination based on bearings-only measurements is an important research direction in space situational awareness. The research in this field mainly focuses on how to determine the initial orbit using bearings-only measurement. Some studies have explored the observability of initial orbit determination under specific conditions，but there is still a lack of general theoretical proof of observability. Under the assumption of an ideal two-body motion model，this article theoretically proves that except for the two scenarios of coplanar orbit and twin orbits，the target orbit can be uniquely determined based on single satellite bearings-only measurement，that is，the initial orbit determination is generally observable. The conclusion is also verified by numerical simulation. This conclusion reveals some basic characteristics of the problem of initial orbit determination for space-based optical observations，and is helpful for further optimizing the algorithms for initial orbit determination. © 2023 AAAS Press of Chinese Society of Aeronautics and Astronautics. All rights reserved.
引用
收藏
相关论文
共 23 条
  • [1] LIU L, CAO J F., Orbit determination of high-orbit space targets based on space-based optical angle measurement［J］, Acta Optica Sinica, 41, 19, pp. 155-161, (2021)
  • [2] ZHAO K X, GAN Q B, LIU J., Initial orbit determination for space-based optical space surveillance［J］, Acta Aeronautica et Astronautica Sinica, 44, 1, (2023)
  • [3] ESCOBAL P R，, Method of orbit determination［M］, (1976)
  • [4] MCCLAIN W D., Fundamentals of as-trodynamics and applications, (2013)
  • [5] GOODING R., A new procedure for orbit determination based on three lines of sight（angles only）：TR 93004 ［R］, (1993)
  • [6] GAN Q B, MA J Y，, LU B K, Et al., An initial orbit determination method using inter satellite angle measurement ［J］, Journal of Astronautics, 28, 3, pp. 619-622, (2007)
  • [7] LI J, ZHOU Y Y., Analysis methods in admissible region of too short arcs in space-based optical surveillance［J］, Signal Processing, 25, 6, pp. 911-915, (2009)
  • [8] LIU L., Study on the initial orbit determination of space targets with space-based surveillance［D］, (2010)
  • [9] ZHANG P, SANG J Z, Et al., Initial orbit determination method based on range searching for LEO space debris［J］, Spacecraft Engineering, 26, 2, pp. 22-28, (2017)
  • [10] LIU G M., Space-based bearings-only initial orbit determination method based on homotopy continuation theory ［J］, Journal of Spacecraft TT&C Technology, 34, 5, pp. 453-458, (2015)
123