Theory and Modern Applications
 | Case I | Case II | Case III | Case IV | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
 | ϕ | ω | β | ϕ | ω | β | ϕ | ω | β | ϕ | ω | β |
1 | −0.073712 |  |  | 0.809108 |  |  | −0.273014 |  |  | −0.0619974 |  |  |
2 | −0.123811 | −0.954885 | −0.985387 | 0.715874 | −0.994894 | −0.025614 | 0.562050 | 0.8684705 | 1.0063691 | −0.6762624 | −0.4741334 | −0.6304957 |
3 | 0.688482 | −0.001984 | 0.8147776 | −0.608978 | 0.755628 | −0.578253 | 0.990777 | −0.9010228 | −0.4239812 | −1.1455986 | 1.0669554 | −0.3098253 |
4 | 0.607721 | −0.999805 | 0.643845 | 0.990423 | 0.011483 | 0.283251 | −0.242936 | 0.9658161 | 0.6908204 | −0.2412426 | −0.4037276 | −0.7738522 |
5 | −0.252155 | −0.277830 | 0.204102 | 0.991523 | 0.496766 | −0.738337 | 0.523024 | 0.0749905 | 0.3770240 | −1.0253661 | 0.3443633 | 0.1349037 |
6 | −0.999841 | 0.390553 | −0.437502 | 0.838626 | 0.131377 | 0.262646 | 0.771747 | 0.6053185 | −0.3784280 | 0.1722285 | 0.7451329 | −0.2318408 |
7 | −0.364695 | −0.094448 | 0.831538 | 0.994616 | 0.408626 | −0.029665 | 1.120715 | −0.1839236 | 0.6611971 | 0.3259415 | −0.4048159 | 0.9430688 |
8 | 0.360412 | −0.308318 | −0.180185 | 0.988844 | 0.173220 | 0.495972 | 1.007335 | −0.1582548 | 0.9502834 | −0.7829180 | 0.4562725 | −0.3961226 |
9 | 0.415674 | 0.216478 | −0.064584 | 0.357771 | −0.508501 | 0.201958 | 0.933068 | −0.1727297 | 0.2428355 | 1.3394897 | −0.0663415 | 0.8727372 |
10 | 0.118284 | 0.083259 | −0.369873 | −0.972692 | 0.222064 | 0.182369 | 1.205046 | 0.3057650 | 0.1062000 | −0.6916889 | −0.2538331 | 0.3934666 |
11 | −0.223678 | −0.042991 | 0.230265 | −0.057418 | 0.527491 | −0.480111 | −7.68E − 05 | −0.8863328 | 0.1069155 | −0.2624651 | 0.4643374 | −0.2097343 |
12 | −0.636076 | 0.194459 | 0.001038 | 0.013523 | −0.516267 | −0.093195 | 0.001813 | 0.7883565 | −0.581578 | 0.0001646 | 1.1266980 | −0.6623952 |