The generalized Wahba problem

2006 ◽  
Vol 54 (2) ◽  
pp. 245-259 ◽  
Author(s):  
Malcolm D. Shuster
Keyword(s):  
Wahba Problem

scholarly journals Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Zhuohua Liu ◽  
Wei Liu ◽  
Xiangyang Gong ◽  
Jin Wu
Keyword(s):  
Singular Value Decomposition ◽  
Attitude Determination ◽  
Computation Time ◽  
Singular Value ◽  
Simulation Experiments ◽  
Vector Sensors ◽  
Vector Observation ◽  
Wahba Problem ◽  
Analytic Singular Value Decomposition ◽  
Value Decomposition

A novel algorithm is proposed in this paper to solve the optimal attitude determination formulation from vector observation pairs, that is, the Wahba problem. We propose here a fast analytic singular value decomposition (SVD) approach to obtain the optimal attitude matrix. The derivations and mandatory proofs are presented to clarify the theory and support its feasibility. Through simulation experiments, the proposed algorithm is validated. The results show that it maintains the same attitude determination accuracy and robustness with conventional methodologies but significantly reduces the computation time.

Solving Perspective-n-Point Problem in Variable Projection Framework Based on Wahba Problem

2018 ◽  
Vol 38 (11) ◽  
pp. 1115006
Author(s):  
何颖 He Ying ◽  
马戎 Ma Rong ◽  
李岁劳 Li Suilao ◽  
郭强 Guo Qiang
Keyword(s):  
Point Problem ◽  
Variable Projection ◽  
Wahba Problem

Numerical Solution of a Generalized Wahba Problem for a Spinning Spacecraft

2012 ◽  
Vol 35 (3) ◽  
pp. 764-773 ◽  
Author(s):  
Mark L. Psiaki ◽  
Joanna C. Hinks
Keyword(s):  
Numerical Solution ◽  
Wahba Problem
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