Research Article

Highly Efficient Sigma Point Filter for Spacecraft Attitude and Rate Estimation

Table 2

Residues of numerical mean estimation.

𝐒 [ 1 0 1 , 0 , 0 ; 1 0 2 , 1 0 1 , 0 ; 1 0 3 , 1 0 4 , 1 0 1 ] [ 1 0 2 , 0 , 0 ; 1 0 3 , 1 0 2 , 0 ; 1 0 4 , 1 0 5 , 1 0 2 ] [ 1 0 4 , 0 , 0 ; 1 0 5 , 1 0 4 , 0 ; 1 0 6 , 1 0 7 , 1 0 4 ]

Mean SS 2 . 1 5 1 4 6 4 × 1 0 1 8 1 . 3 1 9 2 5 4 × 1 0 1 9 5 . 5 9 1 7 4 1 × 1 0 2 2
SO 1 . 7 3 4 7 2 3 × 1 0 1 8 6 . 5 0 5 2 1 3 × 1 0 1 9 1 . 6 9 4 0 6 6 × 1 0 2 1
GS 0 (precise) 0 (precise) 0 (precise)

Covariance SS 3.878960 × 1 0 1 8 4 . 0 6 5 7 5 8 × 1 0 1 9 8 . 2 7 1 8 0 6 × 1 0 2 4
SO 4.249187 × 1 0 1 8 3 . 0 3 0 4 3 7 × 1 0 1 9 7 . 0 1 8 8 6 0 × 1 0 2 4
GS 1.734723 × 1 0 1 8 0 (precise) 2 . 3 3 9 6 2 0 × 1 0 2 4

SS: Spherical simplex set. SO: Schmidt orthogonal set. GS: Geometric simplex set.