78 



MICHIGAN ACADEMY OF SCIENCP:. 



OBSERVATION EQUATIONS. POLARIS, CLAMP EAST. 



1. 

 2. 

 3. 

 4. 

 5 



6. 

 7 

 8. 

 9. 

 10. 



11. 

 12. 

 13 

 14. 

 15. 



16. 

 17. 

 18. 

 19. 

 20. 



21. 

 22. 

 23. 

 24. 

 25. 



26. 

 27. 

 28. 

 29. 

 30. 



3t. 

 32 

 33. 

 34. 

 35. 



36. 

 37. 



38. 

 39. 

 40. 



41. 

 43. 

 43. 

 44. 

 45. 



46. 

 47. 

 48. 

 49. 

 60. 



51. 

 52. 

 53. 

 54. 

 55. 



56. 

 57. 

 58. 

 59. 

 60. 



61. 

 62. 

 63. 

 64. 

 65. 



A&. 



+ 



+ 



+ 



b. 

 sin(0+B). 



-0.306 

 -0.321 

 -0.459 

 -0 502 

 —0.611 



-0.710 

 —0.721 

 —0.731 

 -0.774 

 —0.803 



- 0.841 

 -0.914 

 —0.932 

 -0.937 

 -0.947 



—0.984 

 —0.986 

 -0.987 

 —0.985 

 -0.971 



- 0.968 



- 0.965 



- 0.9.i3 

 — 0.1*49 

 —0.897 



-0 860 

 —0.827 

 —0.768 

 —0.702 

 -0.690 



-0 275 

 -0.243 

 -0 209 

 —0.042 

 +0.010 



+0.279 

 40 344 

 +0.454 

 +0.529 

 +0.543 



+0.716 

 +0.8*^0 

 40 885 

 +0.900 

 +0 911 



+0.977 

 +0.981 

 + 0.987 

 +0.981 

 +0.960 



+0.947 

 +0.906 

 +0.812 

 +0.793 

 +0.761 



+ 666 

 +0.600 

 +0.064 

 +0.020 

 -0.187 



—0.219 

 -0 261 

 —0.300 

 —0 333 

 —0.348 



b. 

 cos{e+B) 



—0.939 



- 0.934 

 -0.874 

 -0.8.50 

 -0.775 



—0 686 

 —0.674 

 -0.662 

 —0.613 

 —0.572 



—0 517 



- 0.372 

 —0.326 

 -0.310 



—0.278 



—0 069 

 -0.037 

 +0.012 

 +0 061 

 +0.176 



+0.191 

 +0 207 

 40 256 

 +0.271 

 +0.410 



+0.484 

 +0.540 

 +0.620 

 +0.694 

 +0.706 



+0.948 

 +0.956 

 +0 964 

 +0.986 

 +0.987 



+0 947 

 +0.926 

 +0 877 

 +0.833 

 +0.824 



+0 679 

 +0 484 

 +0.437 

 +0.406 

 +0.382 



+0.137 

 +0.105 

 —0.018 

 —(1.106 

 -0.226 



-0.276 

 —0.392 

 —0.514 

 -0 587 

 —0.628 



—0.719 

 -0.785 

 —0.985 

 -0.987 

 -0.969 



-0.962 

 -0.949 

 —0.940 

 — 0.9TO 

 —0.924 



nv 



+0 36" 



40.29 



+0.57 



+0.81 



+0.72 



+0.49 

 +0.36 

 40 18 

 +0.83 

 +0.09 



-0.10 

 -0.33 



+0 67 

 + 1.21 

 +0.26 



-O.lO 

 +0.48 

 + 1 51 

 -0.06 

 —0.19 



+0.98 

 +0.15 

 +0.37 

 +0.21 

 +0.12 



— 1.28 

 +0.61 

 —0.74 

 +0.04 

 +0.44 



-0.08 

 —1.15 

 -1.15 

 +0.75 

 -0.83 



-0.32 

 +0.14 

 -0.73 

 -0.44 

 -0.57 



+0.04 

 —0.94 

 -0.16 

 -1.14 

 -0.79 



+0.27 



- 0.64 

 —0.34 

 +0.23 

 -0.43 



+0.45 

 + 0.41 

 +0.80 

 -0 01 

 -0.63 



+0.19 

 +0.25 

 +0.21 

 +0.55 

 +0.05 



+0.15 

 -0.04 

 +1.13 

 —0.56 

 -0.14 



+0.039' 

 —0.033 

 +0 229 

 +0.465 

 +0.369 



+0.138 

 +0 008 

 -0.170 

 +0.482 

 -0.254 



-0.439 

 -0.6.50 

 +0.3.58 

 +0.901 

 -0.043 



—0.359 

 +0.229 

 +1.271 

 -0.285 

 -0.383 



+0.792 

 —0.034 

 +0.202 

 +0.046 

 +0.004 



—1.368 

 +0.544 

 —0.771 



+0.044 

 +0.449 



+0.090 

 —0.971 

 —0.961 

 +0.984 

 —0.583 



-0.020 

 +0 451 

 -0.405 

 —0.110 

 —0.238 



+0.376 

 -0.620 

 +0.154 

 -0.831 

 —0.484 



+0.529 

 -0.389 

 -0.119 

 +0.427 

 -0.268 



+0.595 

 +0 517 

 +0.860 

 +0.02O 

 —0.619 



+0.156 

 +0.183 

 -0.035 

 +0 294 

 -0.250 



-0.156 

 —0.353 

 +0 810 

 -0 8-5 

 -0.467 



