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 | 0.647559 | Â | Â | 0.618122 | Â | Â | 0.322975 | Â | Â | 0.604064 | Â | Â |
2 | 0.907212 | −0.267991 | 0.322864 | 0.236205 | −0.410823 | 0.050089 | 0.125545 | 0.092395 | −0.099459 | 0.145308 | 0.048916 | 0.390702 |
3 | −0.239339 | −0.067396 | 0.513909 | −0.534078 | 0.671632 | 0.245072 | −0.142836 | −0.499641 | 0.014703 | 0.001974 | −0.860052 | 0.947150 |
4 | −0.957706 | −0.124556 | −0.001295 | 0.802993 | −0.432387 | 0.224744 | −0.422683 | −0.681028 | 0.037512 | 1.004635 | −0.500737 | 0.843710 |
5 | 0.999999 | 0.068524 | 0.198613 | −0.860333 | −0.356714 | 0.288286 | −0.208811 | 0.548146 | −0.741997 | −0.027133 | −0.050194 | 0.839738 |
6 | 0.991093 | −0.300834 | −0.185112 | −0.877682 | 0.069086 | −0.328927 | −0.110183 | 0.724411 | 0.045469 | 0.046072 | −0.705402 | 0.044515 |
7 | −0.895437 | −0.189009 | −0.098513 | 0.997667 | 0.203825 | 0.639051 | 0.087693 | 0.735871 | −0.082264 | −0.050320 | 0.220688 | −0.704819 |
8 | −0.952240 | −0.070378 | −0.093129 | −0.042320 | 0.377492 | 0.499963 | −0.076128 | −0.762465 | 0.218879 | 0.636024 | 0.111035 | 0.001623 |
9 | −0.808541 | 0.064314 | −0.138659 | −0.177386 | −0.154882 | −0.525750 | 0.501793 | 0.093607 | −0.998551 | −0.294732 | −0.707771 | 0.326603 |
10 | 0.929781 | 0.047806 | −0.295206 | −0.157372 | −0.183808 | −0.332534 | 0.081314 | 0.323525 | 0.327212 | 0.034618 | −0.157209 | 0.456327 |
11 | 0.020025 | 0.464669 | −0.178734 | −0.709330 | −0.082084 | −0.032530 | 0.183672 | −0.243237 | −0.262075 | 0.907357 | −0.081191 | 0.154746 |
12 | 0.978038 | −0.132835 | −0.091676 | 0.361373 | 0.315329 | 0.035493 | 0.045139 | −0.698989 | 0.375621 | 0.178138 | 0.643929 | −0.528214 |