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<h2>AAS 97-611</h2>
<h2> RANGE LIMITS OF ATTITUDE DETERMINATION ACCURACY                                                                                                 </h2>
<h4> D. Mortari - Universita degli Studi "La Sapienaz" di Roma, Italy                                                                                                         </h4>
<h2> Abstract </h2>
This paper quantifies the error associated with the optimal attitude estimation based on vectors observation and identifies the limit conditions for the input unit-vectors which assure the attitude error be less than a given requested value. The error is originated by the observed vectors spatial distribution and accuracies. When n=2 vectors are available the attitude error is analytically evaluated and the "quasi-parallel limit condition" is defined. When n>2, some parameters indicating the error are shown. The paper then establishes which are the known optimal attitude estimation algorithms for which the approaching of a quasi-parallel limit condition can be detected. These parameters indicate the reliability of the attitude estimation and can be used, as weights, to improve the attitude estimation evaluated by statistical filtering.                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

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