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Further Studies on Singular Value Method for Star Pattern Recognition and Attitude Determination

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Abstract

The objective of this paper is to study the effectiveness of a star pattern recognition method using singular value decomposition of a measured unit column vector matrix in a measurement frame and the corresponding catalog vector matrix in a reference frame. The approach is to use sensitivity analysis to define an effectiveness measure for a pairing process for individual measured and cataloged stars. The sensitivity of singular values relative to separation angle of star vectors will be studied to establish their correlation. A new method is proposed to generate the mission catalog to improve the quality of pattern recognition in speed and accuracy.

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Authors and Affiliations

  1. Professor, Department of Engineering Science, National Cheng-Kung University, Tainan 70101, Taiwan; Adjunct Professor, Texas A&M University, USA;, Fellow AAS, AIAA, ASME

    Jer-Nan Juang

  2. Graduate student, Department of Engineering Science, National Cheng Kung University, Tainan, 70101, Taiwan

    Yu-Chi Wang

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  1. Jer-Nan Juang
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  2. Yu-Chi Wang
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Correspondence to Jer-Nan Juang.

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Juang, JN., Wang, YC. Further Studies on Singular Value Method for Star Pattern Recognition and Attitude Determination. J of Astronaut Sci 59, 370–380 (2012). https://doi.org/10.1007/s40295-013-0023-4

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