Research Article
Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
| | Case | SVD Eigen | Fast SVD | QUEST Eigen | QUEST Newton | FLAE Newton |
| | 1 | 4.3411 × 10−05 | 4.3411 × 10−05 | 4.3411 × 10−05 | 4.3411 × 10−05 | 4.3411 × 10−05 | | 2 | 4.8769 × 10−05 | 4.8769 × 10−05 | 4.8769 × 10−05 | 4.8769 × 10−05 | 4.8769 × 10−05 | | 3 | 4.3535 × 10−01 | 4.3535 × 10−01 | 4.3535 × 10−01 | 4.3535 × 10−01 | 4.3535 × 10−01 | | 4 | 4.8474 × 10−01 | 4.8474 × 10−01 | 4.8474 × 10−01 | 4.8474 × 10−01 | 4.8474 × 10−01 | | 5 | 2.5750 × 10−01 | 2.5750 × 10−01 | 2.5750 × 10−01 | 2.9318 × 10−01 | 1.7425 × 10+01 | | 6 | 3.6295 × 10−05 | 3.6295 × 10−05 | 3.6295 × 10−05 | 3.6295 × 10−05 | 3.6295 × 10−05 | | 7 | 4.8501 × 10−05 | 4.8501 × 10−05 | 4.8501 × 10−05 | 4.8501 × 10−05 | 4.8501 × 10−05 | | 8 | 3.9564 × 10−01 | 3.9564 × 10−01 | 3.9564 × 10−01 | 3.9564 × 10−01 | 3.9564 × 10−01 | | 9 | 5.0110 × 10−01 | 5.0110 × 10−01 | 5.0110 × 10−01 | 5.0110 × 10−01 | 5.0110 × 10−01 | | 10 | 6.1477 × 10−05 | 6.1477 × 10−05 | 6.1477 × 10−05 | 6.1480 × 10−05 | 6.1482 × 10−05 | | 11 | 6.1345 × 10−05 | 6.1345 × 10−05 | 6.1345 × 10−05 | 6.1343 × 10−05 | 6.1348 × 10−05 | | 12 | 3.1358 × 10−01 | 3.1358 × 10−01 | 3.1358 × 10−01 | 5.1110 × 10+00 | 2.8665 × 10+00 |
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