80 



MICHIGAN ACADEMY OF SCIENCE. 



OBSERVATION EQUATIONS. POLARIS S. P., CLAMP EAST. 



1. 

 2. 

 3. 

 4. 

 a. 



6. 

 7. 

 8. 

 9. 

 10. 



11. 

 12. 

 13. 

 14. 

 15. 



16 

 17. 

 18. 

 19 



20. 



21. 

 32. 

 23. 

 24. 

 25. 



26. 

 27. 

 33. 

 29. 

 30. 



31. 

 32. 

 33. 

 34. 



2a. 



36. 

 37. 

 38. 

 39. 

 40. 



41. 

 42. 

 43. 

 44. 



45. 



46. 

 47. 

 48. 

 49. 

 50, 



51. 

 52. 

 53. 

 54, 



55. 



56, 

 57 

 58 

 59. 

 60 



61, 

 62. 

 63. 

 64. 

 65 



Afi. 



+ 



+ 



+ 



Sin (0+B). 



-0.313 

 -0.330 

 —0.451 

 -0.480 

 0.509 



-0.692 

 —0.716 

 -0.770 

 -0.790 

 -0.808 



-0.899 

 -0.918 

 ^0.940 

 —0.945 

 -0.985 



-0.987 

 -0.987 

 —0,986 

 —0.984 

 —0.970 



"0.967 

 —0.937 

 -0.914 

 —0.901 

 —0.856 



-0.708 

 -0.696 

 —0.684 

 — 0.2B7 

 -0.234 



—0.201 

 -0.034 

 +0.068 

 +0.2:{7 

 +0.270 



+0.384 

 +0.578 

 +0.698 

 +0.881 

 +0.889 



-1-0.904 

 +0.970 

 +0.987 

 +0.>87 

 -F0.980 



f 0.934 

 +0.902 

 +0.855 

 -fO.788 

 +0.661 



+0.-621 

 +0.257 

 -0.012 

 -0.028 

 -O.044 



-0.213 

 — 0.2U 

 - 0.292 

 -0.417 

 -0.447 



—0.490 

 -0-700 

 —0.744 

 —0.795 

 -0.985 



b. 

 cos (0+B) 



-0.936 

 -0.930 



—0.877 

 —0.863 

 -0.845 



-0.704 

 -O.680 

 -0.618 

 —0.592 

 -0.566 



—0.409 

 -0.364 

 —0.302 

 0.286 

 -0.061 



—0.012 

 +0.021 

 +0.037 

 +0.070 

 f 0.183 



+0.199 

 +0.311 

 +0.372 

 +0.403 

 +0.491 



+0.688 

 +0.700 

 +0.712 

 +0.950 

 -F0.958 



+0.966 

 +0.986 

 +0.985 

 -f-0.9.58 

 +0.949 



+0.909 

 +0.799 

 +0.698 

 f 0.445 

 +0.429 



+0.398 

 HI.I81 

 L0.0:26 

 -0.027 

 -0.114 



-0.319 

 -O.400 

 —0.492 

 —0.594 

 —0.733 



-0.768 

 — C.9iS2 

 -0.987 

 —0.986 

 - 0.986 



-0.964 

 -0.9.56 

 -0.943 

 —0.894 

 -0.880 



—0.857 

 -0.696 

 —0.6-48 

 —0.584 

 —0.067 



n'. 



+0.22" 



—0.42 



+0.24 



+0.31 



—0.14 



+ 1.29 

 +0.46 

 +0.38 

 +0.19 

 +0.91 



+0.00 

 +0.63 

 +0.47 

 + 1.23 

 +0.54 



-0.12 

 +0.57 



+0.87 

 —0.03 



+0.28 



+0.20 

 -0.34 

 —0.07 

 —0.11 

 —0.25 



—0.37 

 —0.02 

 +0.03 

 +0.56 

 —0.07 



—0.03 

 —0.61 

 —0.26 

 +0.81 

 —1.07 



+0.65 

 +0.18 

 -0.24 

 —0.94 

 +0.47 



-1-0.95 

 + 1.18 

 —1.14 

 +0.09 

 +0.51 



—0.47 

 -K).28 

 -0.74 

 +0.23 

 +0.44 



+0.92 

 +0.10 

 +0.61 

 +0.92 

 +0.36 



4-1.02 

 -0.02 

 +0.64 

 + 1.19 

 40.50 



+0.20 

 +0.87 

 +0.83 

 1.71 

 0.72 



t 



- 0.333" 



-0.974 



-0.312 



—0.241 



—0.689 



+0.765 

 —0.061 

 —0.127 

 —0.311 

 +0.416 



-0.453 



+0.189 

 +0.047 

 +0.812 

 +0.193 



-0.450 

 +0.251 

 +0.557 

 —0.332 

 +0.018 



—0.056 

 —0.553 

 -0.260 

 —0.288 

 —0.392 



-0.425 

 —0.069 

 —0.013 

 +0.654 

 +0.031 



+0.078 

 -0.473 

 -0.109 

 +0.975 

 —0.904 



+0.818 

 +0.337 

 —0.102 

 —0.863 

 +0.543 



+ 1.014 

 -i-1.180 

 —1.191 

 +0.021 

 +0:410 



—0.645 

 +0.073 

 -0.985 

 —0.059 

 +0.087 



+0.550 

 -0.382 



+0.079 

 +0.388 

 —0.174 



+0.470 

 —0.571 

 +0.087 

 +0.637 

 —0.0.52 



—0.3.50 

 +0.346 

 +0.317 

 + I.2I1 

 +0.371 



