APPENDIX G

TABLES USED IN COMPUTING MU

1. Table of Cos theta (Hour Angle). (theta is in degrees and minutes of arc.)

2. Table of Cos theta (Hour Angle). (theta is in hours, minutes and seconds of time.)

3. Table of Cos Z to mu for Ozone at 22 km.

4. Table of Cos Z to m.

5. Table of Parallax Corrections for the Moon.

Parallax Corrections, Deltacos Z , for Moon Observations
(Subtract Deltacos Z* from cos Z* to obtain cos Z.)

```  *    H.P. in min.
*    of degree
*
*
Cos Z*     52'    53'    54'    55'    56'    57'    58'    59'    60'    61'    62'
```

```
.00   1  .0151  .0154  .0157  .0160  .0163  .0166  .0169  .0172  .0175  .0177  .0180
.02   2  .0151  .0154  .0157  .0160  .0163  .0166  .0169  .0172  .0174  .0177  .0180
.04   3  .0151  .0154  .0157  .0160  .0162  .0166  .0168  .0171  .0174  .0177  .0180
.06   4  .0151  .0154  .0157  .0159  .0162  .0165  .0168  .0171  .0173  .0177  .0180
.08   5  .0150  .0153  .0157  .0159  .0162  .0165  .0168  .0171  .0173  .0176  .0179
.10   6  .0150  .0153  .0156  .0158  .0161  .0164  .0167  .0170  .0172  .0176  .0179
.12   7  .0149  .0152  .0155  .0158  .0160  .0163  .0166  .0169  .0171  .0175  .0179
.14   8  .0148  .0151  .0154  .0157  .0159  .0163  .0165  .0168  .0171  .0174  .0177
.16   9  .0147  .0150  .0153  .0156  .0159  .0162  .0164  .0167  .0169  .0173  .0176
.18  10  .0146  .0149  .0152  .0155  .0157  .0160  .0163  .0166  .0169  .0172  .0175
.20  11  .0145  .0148  .0151  .0154  .0156  .0159  .0162  .0165  .0167  .0170  .0173
.22  12  .0144  .0147  .0149  .0152  .0155  .0158  .0161  .0163  .0166  .0169  .0172
.24  13  .0143  .0145  .0148  .0151  .0153  .0156  .0159  .0162  .0164  .0167  .0170
.26  14  .0141  .0144  .0146  .0149  .0152  .0145  .0157  .0160  .0163  .0165  .0168
.28  15  .0139  .0142  .0145  .0147  .0150  .0153  .0155  .0158  .0161  .0163  .0166
.30  16  .0138  .0140  .0143  .0146  .0148  .0151  .0154  .0156  .0159  .0161  .0164
.32  17  .0136  .0138  .0141  .0144  .0146  .0149  .0151  .0154  .0157  .0159  .0162
.34  18  .0134  .0136  .0139  .0141  .0144  .0147  .0149  .0152  .0154  .0157  .0160
.36  19  .0132  .0134  .0137  .0139  .0142  .0144  .0147  .0149  .0152  .0154  .0157
.38  20  .0130  .0132  .0134  .0137  .0139  .0142  .0144  .0147  .0149  .0152  .0154
.40  21  .0127  .0130  .0132  .0134  .0137  .0139  .0142  .0144  .0147  .0149  .0152
.42  22  .0125  .0127  .0129  .0132  .0134  .0137  .0139  .0141  .0144  .0146  .0149
.44  23  .0122  .0124  .0127  .0129  .0131  .0134  .0136  .0138  .0141  .0143  .0145
.46  24  .0119  .0122  .0124  .0126  .0128  .0131  .0133  .0135  .0138  .0140  .0142
.48  25  .0116  .0119  .0121  .0123  .0125  .0128  .0130  .0132  .0134  .0137  .0139
.50  26  .0113  .0116  .0118  .0120  .0122  .0124  .0127  .0129  .0131  .0133  .0135
.52  27  .0110  .0112  .0115  .0117  .0119  .0121  .0123  .0125  .0127  .0129  .0132
.54  28  .0107  .0109  .0111  .0113  .0115  .0117  .0120  .0122  .0124  .0126  .0128
.56  29  .0104  .0106  .0108  .0110  .0112  .0114  .0116  .0118  .0120  .0122  .0124
.58  30  .0101  .0103  .0104  .0106  .0108  .0110  .0112  .0114  .0116  .0118  .0120
.60  31  .0097  .0099  .0100  .0102  .0104  .0106  .0108  .0110  .0112  .0114  .0115
.62   1  .0093  .0095  .0097  .0099  .0100  .0102  .0104  .0106  .0108  .0110  .0111
.64   2  .0089  .0091  .0093  .0094  .0096  .0098  .0100  .0102  .0103  .0105  .0106
.66   3  .0085  .0087  .0089  .0090  .0092  .0094  .0095  .0097  .0099  .0100  .0102
.68   4  .0081  .0083  .0084  .0086  .0088  .0089  .0091  .0092  .0094  .0096  .0097
.70   5  .0077  .0078  .0080  .0082  .0083  .0085  .0086  .0088  .0089  .0091  .0092
.72   6  .0073  .0074  .0076  .0077  .0079  .0080  .0081  .0083  .0084  .0086  .0087
.74   7  .0068  .0070  .0071  .0072  .0074  .0075  .0076  .0078  .0079  .0081  .0081
.76   8  .0064  .0065  .0066  .0068  .0069  .0070  .0071  .0073  .0074  .0075  .0076
.78   9  .0059  .0060  .0061  .0063  .0064  .0065  .0067  .0068  .0069  .0069  .0070
.80  10  .0054  .0055  .0057  .0055  .0059  .0060  .0061  .0062  .0063  .0064  .0065
.82  11  .0049  .0050  .0051  .0052  .0053  .0054  .0055  .0056  .0057  .0058  .0059
.84  12  .0044  .0045  .0046  .0047  .0048  .0049  .0050  .0051  .0052  .0052  .0053
.86  13  .0039  .0040  .0041  .0041  .0042  .0043  .0044  .0045  .0046  .0046  .0047
.88  14  .0034  .0034  .0035  .0015  .0036  .0037  .0037  .0038  .0039  .0040  .0041
.90  15  .0028  .0029  .0030  .0030  .0031  .0031  .0031  .0032  .0033  .0034  .0034
.92  16  .0023  .0023  .0024  .0024  .0025  .0025  .0026  .0026  .0021  .0021  .0027
.94  11  .0018  .0018  .0018  .0018  .0019  .0019  .0019  .0019  .0020  .0020  .0021
.96  18  .0012  .0012  .0012  .0013  .0013  .0013  .0013  .0014  .0014  .0014  .0014
.98  19  .0006  .0006  .0006  .0006  .0006  .0007  .0007  .0007  .0007  .0007  .0007
1.00  20  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000

```

6. Sample Table Cos delta cos Ø.

```                                                      Hallet Station
Ø = Lat. 720° 18' 5
Long. 170° 19' E
Cos Ø = 30403```

Sample Table Cos delta cos Ø

```   delta                              Minutes

Degrees 0     5    10    15    20    25    30    35    40    45    50    55    60
```

``` 0  .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040 .3040

1  .3040 .3040 .3040 .3040 .3039 .3039 .3039 .3039 .3039 .3039 .3039 .3039 .3038

2  .3038 .3038 .3038 .3038 .3038 .3038 .3037 .3037 .3037 .3037 .3037 .3036 .3036

3  .3036 .3036 .3036 .3035 .3035 .3035 .3035 .3034 .3034 .3034 .3033 .3033 .3033

4  .3033 .3033 .3032 .3032 .3032 .3031 .3031 .3031 .3030 .3030 .3029 .3029 .3029

5  .3029 .3028 .3028 .3028 .3027 .3027 .3026 .3026 .3025 .3025 .3025 .3024 .3024

6  .3024 .3023 .3023 .3022 .3022 .3021 .3021 .3020 .3020 .3019 .3019 .3018 .3018

7  .3018 .3017 .3017 .3016 .3015 .3015 .3014 .3014 .3013 .3013 .3012 .3011 .3011

8  .3011 .3010 .3009 .3009 .3008 .3008 .3007 .3006 .3006 .3005 .3004 .3004 .3003

9  .3003 .3002 .3002 .3001 .3000 .2999 .2998 .2998 .2997 .2996 .2996 .2995 .2994

10  .2994 .2993 .2993 .2992 .2991 .2990 .2989 .2989 .2988 .2987 .2986 .2985 .2984

11  .2984 .2984 .2983 .2982 .2981 .2980 .2979 .2978 .2977 .2977 .2976 .2975 .2974

12  .2974 .2973 .2972 .2971 .2970 .2969 .2968 .2967 .2966 .2965 .2964 .2963 .2962

13  .2962 .2961 .2960 .2959 .2958 .2957 .2956 .2955 .2954 .2953 .2952 .2951 .2950

14  .2950 .2949 .2948 .2947 .2946 .2945 .2943 .2942 .2941 .2940 .2939 .2938 .2937

15  .2937 .2936 .2934 .2933 .2932 .2931 .2930 .2929 .2927 .2926 .2925 .2924 .2923

16  .2923 .2921 .2920 .2919 .2918 .2916 .2915 .2914 .2913 .2911 .2910 .2909 .2907

17  .2907 .2906 .2905 .2903 .2902 .2901 .2900 .2898 .2897 .2896 .2894 .2893 .2892

18  .2892 .2890 .2889 .2887 .2886 .2885 .2883 .2882 .2880 .2879 .2878 .2876 .2875

19  .2875 .2873 .2872 .2870 .2869 .2867 .2866 .2865 .2863 .2862 .2860 .2859 .2857

20  .2857 .2855 .2854 .2852 .2851 .2849 .2848 .2846 .2845 .2843 .2842 .2840 .2838

21  .2838 .2837 .2835 .2834 .2832 .2830 .2829 .2827 .2825 .2824 .2822 .2820 .2819

22  .2819 .2817 .2816 .2814 .2812 .2810 .2809 .2807 .2806 .2804 .2802 .2800 .2799

23  .2799 .2797 .2795 .2793 .2792 .2790 .2788 .2786 .2785 .2783 .2781 .2779 .2777
```

7. Sample Table Sin delta sin Ø.

```                                                   Hallet Station
Ø = Lat. 72° 18' S
Long. 170° 19' E
Sin Ø = .95266
```

Sample Table Sin delta sin Ø

```   delta                               Minutes

Degrees  0     5    10    15    20    25    30    35    40    45    50    55   60
```

``` 0   .0000 .0014 .0028 .0042 .0055 .0070 .0083 .0972 .0111 .0125 .0138 .0152 .0167

1   .0167 .0180 .0194 .0208 .0222 .0235 .0250 .0263 .0277 .0291 .0305 .0318 .0333

2   .0333 .0346 .0360 .0374 .0388 .0402 .0415 .0430 .0443 .0457 .0471 .0485 .0498

3   .0498 .0513 .0526 .0540 .0554 .0568 .0581 .0595 .0610 .0623 .0637 .0651 .0665

4   .0665 .0678 .0693 .0706 .0720 .0734 .0748 .0761 .0775 .0789 .0803 .0816 .0831

5   .0831 .0844 .0858 .0872 .0885 .0899 .0913 .0927 .0940 .0955 .0968 .0982 .0996

6   .0996 .1010 .1023 .1037 .1051 .1065 .1078 .1092 .1106 .1119 .1134 .1147 .1161

7   .1161 .1175 .1189 .1202 .1216 .1230 .1243 .1258 .1271 .1285 .1298 .1312 .1326

8   .1326 .1339 .1354 .1367 .1380 .1395 .1408 .1421 .1436 .1449 .1463 .1477 .1490

9   .1490 .1504 .1518 .1531 .1545 .1559 .1572 .1586 .1600 .1613 .1627 .1640 .1654

10   .1654 .1668 .1681 .1695 .1709 .1727 .1736 .1750 .1763 .1777 .1791 .1804 .1818

11   .1818 .1831 .1815 .1859 .1872 .1885 .1990 .1913 .1926 .1940 .1954 .1967 .1981

12   .1981 .1994 .2008 .2022 .2035 .2048 .2062 .2076 .2089 .2103 .2116 .2129 .2143

13   .2143 .2157 .2170 .2183 .2197 .2210 .2224 .2238 .2251 .2264 .2278 .2291 .2304

14   .2304 .2318 .2331 .2345 .2359 .2372 .2385 .2399 .2412 .2425 .2439 .2452 .2465

15   .2465 .2479 .2492 .2505 .2519 .2532 .2546 .2559 .2579 .2586 .2599 .2612 .2626

16   .2626 .2639 .2652 .2666 .2679 .2692 .2706 .2719 .2732 .2746 .2759 .2772 .2786

17   .2786 .2799 .2812 .2825 .2838 .2851 .2865 .2878 .2891 .2905 .2917 .2930 .2944

18   .2944 .2957 .2970 .2983 .2997 .3010 .3023 .3036 .3049 .3062 .3075 .3088 .3102

19   .3102 .3115 .3128 .3141 .3154 .3167 .3180 .3193 .3206 .3219 .3232 .3245 .3258

20   .3258 .3271 .3284 .3297 .3310 .3323 .3336 .3349 .3362 .3375 .3388 .3401 .3414

21   .3414 .3427 .3440 .3453 .3466 .3479 .3492 .3504 .3517 .3530 .3543 .3559 .3569

22   .3569 .3582 .3594 .3608 .3620 .3633 .3646 .3658 .3671 .3684 .3697 .3710 .3722

23   .3722 .3735 .3748 .3761 .3773 .3786 .3799
```