A Novel Error Model of Optical Systems and an On-Orbit Calibration Method for Star Sensors

Wang, Shuang; Geng, Yunhai; Jin, Rongyu

doi:10.3390/s151229863

Cited by 9 publications

(3 citation statements)

References 18 publications

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“…According to the analysis proposed in [16,17], the geometric error of the measurement system refers to the manufacturing error of each component and the assembly error between the components. Figure 1b and Figure 2 show that the errors caused by the installation process in the x -axis and oyz plane are sensitive sources of measurement error.…”

Section: Measurement Model Of Angle Encoder On Tcmsmentioning

confidence: 99%

A New Error Model and Compensation Strategy of Angle Encoder in Torsional Characteristic Measurement System

Chen

Peng

Huang

2019

Sensors

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For systems of measurement, geometric errors such as manufacturing and assembly errors could have a significant impact on the accuracy of the angle encoders of the system. In this study, an error model of angular measurement with geometric errors of a torsional characteristic measurement system was developed based on multibody system theory, the aim of which was to reveal the impact of geometric errors on angular measurement and to compensate the measurement error. According to the principle of spatial error transfer, the decomposition of geometric errors is illustrated and the error matrix of geometric errors is constructed by the Denavit–Hartenberg (DH) method. Subsequently, an error compensation function can be obtained and the impact of geometric error on angular measurement is discussed. Finally, we demonstrate by the experimental results of an ultra-autocollimator that the proposed error compensation method reduced the angular measurement error from 3.7% to 0.7%, which shows that the proposed error model can effectively predict the angular measurement error. In addition, it can be seen from the measurement results of the RV reducer that the error of the torsional characteristic measurement system decreased significantly.

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Section: Measurement Model Of Angle Encoder On Tcmsmentioning

confidence: 99%

A New Error Model and Compensation Strategy of Angle Encoder in Torsional Characteristic Measurement System

Chen

Peng

Huang

2019

Sensors

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“…Although an interstar angle calibration model that simultaneously solves for distortion and intrinsic parameters was developed in Ref. [16], the method for determining the distances of the ideal star points from the principal point was not specified in the distortion model clearly. These distances are crucial for the ultimate efficacy of the calibration process.…”

Section: Introductionmentioning

confidence: 99%

Distortion model of star tracker on-orbit calibration algorithms based on interstar angles

Chen

Zheng

et al. 2022

J. Phys.: Conf. Ser.

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On-orbit calibration techniques for star trackers are critical for precise attitude determination in artificial satellites. As calibration algorithms based on interstar angles do not require a priori information about the satellite attitude, they are a focal point for studies in this area. In these algorithms, the distance between each ideal star point and the principal point on the focal plane is required to model lens distortions. These distances are typically approximated using the distances between observed star points and the principal point, named the simplified approximation method. We propose an embedded iteration method and perform numerical simulations and ground-based night-sky experiments to compare the results of star tracker calibrations based on the two proposed methods. The results indicate that the simplified approximation calibration model has systematic model errors, which are predominantly manifested in the principal point estimates. Nevertheless, the simplified approximation converges more rapidly and easily than embedded iteration. Therefore, embedded iteration should only be used if the calibration accuracy is critical, large lens distortions are present, and ample computational resources are available. Otherwise, simplified approximation should be used to model lens distortions.

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“…They are widely used with Earth observation satellites and space exploration aircraft. In recent years, with the rapid development of aerospace science and technology, the dynamic high-precision attitude measurement of aircraft has become even more important for space target surveillance and geosynchronous observation of constellations of spacecraft [1,2,3,4].…”

Section: Introductionmentioning

confidence: 99%

A Stellar Imaging Error Correction Method Based on an Ellipsoid Model: Taking Ziyuan 3-02 Satellite Data Analysis as an Example

Wang

Zhou

Gao

et al. 2018

Sensors

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Stellar point image coordinates are one of the important observations needed for high-precision space attitude measurement with a star sensor. High-coupling imaging errors occur under dynamic imaging conditions. Using the results of preliminary star point extraction from star sensor imaging data combined with a superimposed time series, we analyze the relative motion and trajectory based on the star point image, establish an image error ellipsoid fitting model based on the elliptical orbit of a satellite platform, and achieve geometric error correction of a star sensors’ image star point using multi-parameter screening of the ambiguous solutions of intersection of the elliptic equations. The simulation data showed that the accuracy of the correction error of this method reached 89.8%, and every star point coordinate required 0.259 s to calculate, on average. In addition, it was applied to real data from the satellite Ziyuan 3-02 to carry out the correction of the star points. The experiment shows that the mean of attitude quaternion errors for all its components was reduced by 52.3%. Our results show that the estimation parameters of dynamic imaging errors can effectively compensate for the star point image observation value and improve the accuracy of attitude calculation.

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A Novel Error Model of Optical Systems and an On-Orbit Calibration Method for Star Sensors

Cited by 9 publications

References 18 publications

A New Error Model and Compensation Strategy of Angle Encoder in Torsional Characteristic Measurement System

A New Error Model and Compensation Strategy of Angle Encoder in Torsional Characteristic Measurement System

Distortion model of star tracker on-orbit calibration algorithms based on interstar angles

A Stellar Imaging Error Correction Method Based on an Ellipsoid Model: Taking Ziyuan 3-02 Satellite Data Analysis as an Example

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