[논문]Laser-based Relative Navigation Using GPS Measurements for Spacecraft Formation Flying

Lee, Kwangwon; Oh, Hyungjik; Park, Han-Earl; Park, Sang-Young; Park, Chandeok

doi:10.5140/jass.2015.32.4.387

Laser-based Relative Navigation Using GPS Measurements for Spacecraft Formation Flying 원문보기

Journal of astronomy and space sciences, v.32 no.4, 2015년, pp.387 - 393

Lee, Kwangwon (Astrodynamics & Control Laboratory, Department of Astronomy, Yonsei University) , Oh, Hyungjik (Astrodynamics & Control Laboratory, Department of Astronomy, Yonsei University) , Park, Han-Earl (Korea Astronomy and Space Science Institute) , Park, Sang-Young (Astrodynamics & Control Laboratory, Department of Astronomy, Yonsei University) , Park, Chandeok (Astrodynamics & Control Laboratory, Department of Astronomy, Yonsei University)

Abstract ▼ AI-Helper

This study presents a precise relative navigation algorithm using both laser and Global Positioning System (GPS) measurements in real time. The measurement model of the navigation algorithm between two spacecraft is comprised of relative distances measured by laser instruments and single differences of GPS pseudo-range measurements in spherical coordinates. Based on the measurement model, the Extended Kalman Filter (EKF) is applied to smooth the pseudo-range measurements and to obtain the relative navigation solution. While the navigation algorithm using only laser measurements might become inaccurate because of the limited accuracy of spacecraft attitude estimation when the distance between spacecraft is rather large, the proposed approach is able to provide an accurate solution even in such cases by employing the smoothed GPS pseudo-range measurements. Numerical simulations demonstrate that the errors of the proposed algorithm are reduced by more than about 12% compared to those of an algorithm using only laser measurements, as the accuracy of angular measurements is greater than $0.001^{\circ}$ at relative distances greater than 30 km.

주제어

AI 본문요약
AI-Helper

제안 방법

This study presents a combined navigation algorithm for large-scale formation flying by employing both laser and GPS pseudo-range measurements. Based on the algorithmic structure proposed in Jung et al.

이론/모형

The initial conditions of the deputy are set to be the solutions of the Hill–Clohessy–Wiltshire (HCW) equations for implementing the projected circular orbits, which are circular when projected onto the radial direction of the relative frame. After separation of the terms in the weighting matrices into the types of states and measurements, the weighting matrices are empirically determined by adjusting the terms one by one to improve the accuracy.

성능/효과

001° in large-scale formation flying. Considering the accuracy of the state-of-the-art star trackers and the accumulated errors in the transformation between azimuth/elevation and attitude information, it is clearly demonstrated that the proposed algorithm can be considered favorably compared with the algorithm using only laser measurement in large-scale formation flying.
The single difference of GPS pseudo-range measurements is incorporated into the measurement model instead of the azimuth and elevation angles. The extended Kalman filter is applied to estimate the relative position and velocity and to obtain the smoothed pseudo-range measurements to increase the accuracy of the algorithm. This strategy allows the laser-based relative navigation algorithm to exclude angular measurements of laser directions which depend on attitude estimation errors, so the proposed algorithm can provide better relative navigation results than the algorithm using only laser measurements with attitude accuracies greater than 0.
The extended Kalman filter is applied to estimate the relative position and velocity and to obtain the smoothed pseudo-range measurements to increase the accuracy of the algorithm. This strategy allows the laser-based relative navigation algorithm to exclude angular measurements of laser directions which depend on attitude estimation errors, so the proposed algorithm can provide better relative navigation results than the algorithm using only laser measurements with attitude accuracies greater than 0.001° in large-scale formation flying. Considering the accuracy of the state-of-the-art star trackers and the accumulated errors in the transformation between azimuth/elevation and attitude information, it is clearly demonstrated that the proposed algorithm can be considered favorably compared with the algorithm using only laser measurement in large-scale formation flying.

참고문헌 (14)

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상세보기
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원문보기 상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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