“…The focal length has been eliminated in (12), and enlarging the calculation of the principal point, then the observability of the principal point and the calibration accuracy are improved.…”
Section: Angular Distance Subtraction Methods Can Enlarge the Calculation Of The Principal Pointmentioning
confidence: 99%
“…Finally, according to the general calibration process [12], the Extended Kalman Filter(EKF) [20] is used to iterate the star points image sequence, and the calibrated parameters can be obtained.…”
Section: Angular Distance Subtraction Methods Can Enlarge the Calculation Of The Principal Pointmentioning
confidence: 99%
“…Z. Wang [10] established the angular distance error model and determined the variation range of the observation angular distance error. J. Enright [11], [12] suggested using the angular distance directly and adopting a new camera model for calibration. Although the method of angular distance is widely used, the calibration accuracy of the principal point is much worse than that of other parameters [13], [14].…”
Star sensor needs real-time calibration to improve its navigation accuracy. Compared with other parameters, the position of the principal point is more easily affected by the measurement error, which leads to low calibration accuracy. Conventional star sensors on-orbit calibration methods mainly rely on the angular distance(AD) between stars. The observability of the principal point in this method and the calibration accuracy is not as well as that of other parameters. In this paper, an on-orbit calibration method of star sensor based on the angular distance subtraction(ADS) is proposed. The accuracy of the on-orbit calibration is improved by increasing the observability of the principal point in the calibration process, and the feasibility of this method is verified by the observability analysis. Finally, improved angular distance subtraction(IADS) models are proposed to solve the time-consuming problem of ADS method. In order to demonstrate the performance of the IADS models, simulation calibrations are conducted. The results show that the accuracy of u0 and v0 of the IADS method is 62.7% and 15.9% higher than that of AD method when other parameters are set as nominal values. The calibration accuracy of the principal point is improved effectively.
“…The focal length has been eliminated in (12), and enlarging the calculation of the principal point, then the observability of the principal point and the calibration accuracy are improved.…”
Section: Angular Distance Subtraction Methods Can Enlarge the Calculation Of The Principal Pointmentioning
confidence: 99%
“…Finally, according to the general calibration process [12], the Extended Kalman Filter(EKF) [20] is used to iterate the star points image sequence, and the calibrated parameters can be obtained.…”
Section: Angular Distance Subtraction Methods Can Enlarge the Calculation Of The Principal Pointmentioning
confidence: 99%
“…Z. Wang [10] established the angular distance error model and determined the variation range of the observation angular distance error. J. Enright [11], [12] suggested using the angular distance directly and adopting a new camera model for calibration. Although the method of angular distance is widely used, the calibration accuracy of the principal point is much worse than that of other parameters [13], [14].…”
Star sensor needs real-time calibration to improve its navigation accuracy. Compared with other parameters, the position of the principal point is more easily affected by the measurement error, which leads to low calibration accuracy. Conventional star sensors on-orbit calibration methods mainly rely on the angular distance(AD) between stars. The observability of the principal point in this method and the calibration accuracy is not as well as that of other parameters. In this paper, an on-orbit calibration method of star sensor based on the angular distance subtraction(ADS) is proposed. The accuracy of the on-orbit calibration is improved by increasing the observability of the principal point in the calibration process, and the feasibility of this method is verified by the observability analysis. Finally, improved angular distance subtraction(IADS) models are proposed to solve the time-consuming problem of ADS method. In order to demonstrate the performance of the IADS models, simulation calibrations are conducted. The results show that the accuracy of u0 and v0 of the IADS method is 62.7% and 15.9% higher than that of AD method when other parameters are set as nominal values. The calibration accuracy of the principal point is improved effectively.
“…The AIC method is another approach to tackle the "Chicken or the egg" problem. It has been widely used in the literature as well as in practice, especially for on-orbit star tracker calibrations [2,10,12,23]. As this is free from the spacecraft attitude, the attitude determination error does not affect the convergence of the calibration parameters, and the algorithm becomes simple and convenient.…”
A star tracker calibration method using star images is presented in this paper. Unlike previous works, the proposed method estimates all parameters and the attitudes at once in a single least-squares formulation for the optimal calibration, which can be easily converted to a recursive estimation form. In addition, this paper presents a method to estimate the overall star tracker performance for attitude determination from the calibration results. Since the proposed method uses star images only, it can be applied to both on-orbit and ground star tracker calibration. The simulations show improvements in calibration performance about four times compared to the previous calibration method. The calibration experiments with actual star images are conducted to test its application.
“…According to the fact that the angular distance between stars is constant under the rotation transformation, Samaan [10] proposed an on-orbit calibration method based on the cosine residuals of the angular distances, and the detailed on-orbit calibration procedure was presented. Further studies were carried out by other members of the team; Singla [11] evaluated the performance of the calibration method based on angular distances; Griffith [12] explored approaches for the on-orbit calibration of higher order focal plane distorting effects; Woodbury [13] proposed an on-orbit calibration method based on the sine of angular distance, instead of the cosine; Liu [14] and Shen [15] concentrated on the improvement of the sequential estimation method; and Enright [16,17] suggested using the angular distances directly and adopting a new camera model for calibration. Although considerable studies have been done for the on-orbit calibration of star sensors, almost all of these were related to angular distances.…”
The navigation accuracy of a star sensor depends on the estimation accuracy of its optical parameters, and so, the parameters should be updated in real time to obtain the best performance. Current on-orbit calibration methods for star sensors mainly rely on the angular distance between stars, and few studies have been devoted to seeking new calibration references. In this paper, an on-orbit calibration method using singular values as the calibration reference is introduced and studied. Firstly, the camera model of the star sensor is presented. Then, on the basis of the invariance of the singular values under coordinate transformation, an on-orbit calibration method based on the singular-value decomposition (SVD) method is proposed. By means of observability analysis, an optimal model of the star combinations for calibration is explored. According to the physical interpretation of the singular-value decomposition of the star vector matrix, the singular-value selection for calibration is discussed. Finally, to demonstrate the performance of the SVD method, simulation calibrations are conducted by both the SVD method and the conventional angular distance-based method. The results show that the accuracy and convergence speed of both methods are similar; however, the computational cost of the SVD method is heavily reduced. Furthermore, a field experiment is conducted to verify the feasibility of the SVD method. Therefore, the SVD method performs well in the calibration of star sensors, and in particular, it is suitable for star sensors with limited computing resources.
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