Error Analysis of Euler Angles in LEO Single-Satellite LOS Geolocation Method

Document Type : Original Article

Authors

1 Postdoctoral researcher, Sharif University of Technology, Tehran, Iran

2 PhD student, University of Science and Technology, Tehran, Iran

3 PhD student, Khajeh Nasir al-Din Tusi University of Technology, Tehran, Iran

4 Professor, Sharif University of Technology, Tehran, Iran

Abstract

In this paper, the effect of errors in the Euler angles on the performance of the LEO
single-satellite LOS geolocation method is analyzed. In the LEO single-satellite LOS
geolocation method, the aim is the estimation of the terrestrial target location by finding the
intersection of the two direction vectors and the ground. In the presence of errors in the
measured values, the target position estimate deviates from its true value and it is required to
analyze the effects of this deviation. To this end, first, by expressing the problem in the ECEF
coordinate system and transferring the origin to the satellite position by using the latitude and
longitude of the satellite and the state vector, it is tried to determine the intersection of the LOS
from the satellite to the target and the earth’s surface as the target location. Then, the effect of
the error in Euler angles on the performance of the LOS method is theoretically analyzed and its
covariance matrix is derived by the perturbation method. In addition, the CRLB for the LOS
method due to the error in Euler angles is presented. According to the simulation results, in
order to achieve an RMSE of less than 1500 meters in the considered scenario, the angle errors
in the attitude vector should be less than 0.1 degrees.

Keywords

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References

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Radar
Volume 9, Issue 1 - Serial Number 25
September 2021
Pages 25-33

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History

  • Receive Date: 04 April 2021
  • Revise Date: 11 July 2021
  • Accept Date: 30 November 2021
  • Publish Date: 23 August 2021

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