DETERMINING SUN ALTITUDE GIVEN DATE, TIME, LATITUDE, AND LONGITUDE

• Document Type: CREST
• Collection: NGA Records (Formerly NIMA)
• Document Number (FOIA) /ESDN (CREST): CIA-RDP78B04560A005700010016-9
• Release Decision: RIFPUB
• Original Classification: C
• Document Page Count: 11
• Document Creation Date: December 28, 2016
• Document Release Date: October 22, 1999
• Sequence Number: 16
• Publication Date: July 1, 1966
• Content Type: REPORT

Apg.c ICE N(TI2000/04/17: CIA-RDP78B04560A00570001 0016-9
TECHNICAL PUBLICATION
DETERMINING
SUN ALTITUDE GIVEN
DATE, TIME, LATITUDE,
AND LONGITUDE
NPIC/R-5018/66
GROUP I EXCLUDED FROM
AUTOMATIC DOWNGRADING
AND DECLASSIFICATION
Approved For Rele p IVrIAEIA-RDP78B04560A005700'10016-9
 Approved For Release 2000/04/17 : CIA-RDP78BO456OA005700010016-9
This document contains information affecting
the national defense of th3 United States,
within the meaning of Title 18, sections
793 and 794, of the U.S. Cede, as amended.
Its transmission or revelation of Wa contents
to or receipt by an unauthorized person is
prohibited by law.
Approved For Release 2000/04/17 : CIA-RDP78BO456OA005700010016-9
 Approved For Release 2000/04/17 GXRWO60A005700010016-9 NPIC/R-5018/66
DETERMINING SUN ALTITUDE GIVEN DATE, TIME, LATITUDE, AND LONGITUDE
1. Convert GCT to local time as follows:
Local time = GCT - a w or
Local time = GCT ? A e
where A w is longitude west and A e is
longitude east, whichever is applicable. Longi-
tude in degrees and minutes is converted to
hours and minutes by dividing degrees by 15,
since 15? longitude equals one hour in time.
E.g. 6h 30m GCT - 82 1/2? A w = 6h 30m -
5h 30m = 1h 0m local time, or 1:00 a.m.
2. Compute time interval from local time
to noon*, and use Table 1 to convert this interval
to hour angle (H.A.).
E.g. 9:24 a.m. local time = 2h 36 m from noon = 39 ?
1:00 a.m. local time = 11h 00m from noon
= 165?
3. Using Table 2, the apparent declination
of the sun for 0h ephemeris time, find the declin-
*Compute this time interval, using noon of the day to which
the given GCT is referenced. Thus if the computed local
time falls on the previous or following day, the time inter-
val will be greater than 12 hours.
ation angle for the correct date.
4. Using H.O. 214, look for the latitude
given in the mission data. If the sign of the
apparent declination and the given latitude are
the same, use the table designated "same name."
If the signs are opposite, use the table labelled
"contrary name."
Find the column headed by the smaller of
the 2 nearest declination angles. Find the row
headed by the smaller of the 2 nearest hour
angles (H.A.).
Interpolate thusly: Each value in the table
is followed by a A d and a A t value.
Subtract the angle at the head of the column
from the apparent declination and multiply this
difference by A d.
Subtract the hour angle at the head of the
row from the computed hour angle (step 2) and
multiply by A t.
To the table value for sun altitude add the
computed A d value and subtract the computed
At value to get the interpolated sun altitude.
Approved For Release 2000/04/1 C ftbT1P4560A005700010016-9
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 Approved For Release 2000/04/1(QN~lf)6jTsWA560A005700010016-cJIPIC/R-5018/66
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60
4 0
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80
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241
16 4
301
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16 16
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349
23
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11 20
230
15 20
290
19 20
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23
20
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111
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171
11 24
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15 24
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19 24
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23
24
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232
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292
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32
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295
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23
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296
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117
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23
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298
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23
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11 56
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19 56
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23
56
Approved For Release 2000/04/17t6 R7aRnA560A005700010016-9
IIAT
 Approved For Release 2000/04/17 CON- 6 F ~ 1t60A005700010016-9 NPIC/R-5018/66
-23 57.0
23 32. (0
22 39.3
22 19.1
22 31.6
5
-22 41 17.0
6
22 34 35.4
7
22 27 27.2
8
22 19 52.5
9
22 11 51.4
10
-22 03 24.3
11
21 54 31.3
12
21 45 12.8
113
21 35 28.8
14
21 25 19.8
15
-21 14 45.9
1(i
21 03 47.5
17
20 52 24.9
18
20 41 38.4
19
20 28 28.3
20
-20 15 55.0
21
20 02 58.8
22
19 49 40.0
23
19 35 59.1
24
19 21 56.4
25
-19 07 32.2
26
18 52 47.0
27
18 37 41.2
28
18 22 15.1
29
18 06 29.0
30
-17 50 23.6
31
17 33 59.0
Feb.
1
17 17 15.9
2
17 00 14.5
3
16 42 55.3
4
-16 25 18.7
5
16 07 25.1
6
15 49 14.9
7
15 30 48.6
8
15 12 06.3
9
-14 53 08.6
10
14 33 55.9
11
14 14 28.4
12
13 54 46.7
13
13 34 51.1
14
-13 14 42.1
15
-12 54 20.0
16
12 33 45.3
17
12 12 58.4
18
11 51 59.8
19
11 30 49.8
20
-11 09 28.9
21
10 47 57.6
22
10 26 16.2
23
1() 04 25.2
24
9 42 24.9
25
-9 20 15.8
26
8 57 58.4
27
8 35 33.1
28
8 13 00.2
Mar.
1
7 50 20.2
2
-7 27 :33.5
3
7 04 40.6
4
(i 41 41.7
5
6 18 37.4
Apparent
lleclinatio
28.0
13.8
8 5
08 55.2
9 4
45 32.5
10 4
22 06.1
11 3
58 36.3
12 -3
35 03.5
13 3
11 27.9
14 2
47 50.1
15 2
24 10.4
16 2
00 29.1
17 -1
36 46.6
18 1
13 03.4
19 (1
49 19.7
20 0
25 36.1
21 -0
01 52.7
22 +0
21 49.9
23 0
45 31.3
24 0
09 11.3
25 1
32 49.5
26 1
56 25.4
27 +2
19 58.6
28 2
43 28.9
29 3
06 55.8
30 3
30 18.9
31 3
53 37.9
Apr.
1 +4
16 52.5
2 +4
40 02.2
3 5
03 06.7
4 5
26 0.5.7
5 5
48 59.0
6 +6
11 46.1
7 6
34 26.8
8 6
57 00.9
9 7
19 28.0
10 7
41 47.6
11 +8
03 59.7
12 8
26 ((3.8
13 8
47 59.5
14 9
09 46.5
15 9
31 24.6
16 +9
52 53.2
17 10
14 12.1
18 10
35 21.0
19 10
56 19.4
20 11
17 07.2
21 +11
37 43.7
22 11
58 08.8
23 12
18 22.2
24 12
38 23.3
25 12
58 11.9
26 +13
17 47.7
27 13
37 1(1.2
28 13
56 19.1
29 14
15 14.2
30 14
33 55.1
May
1 +14
52 21.4
2 15
1() 32.8
:3 15
28 29.1
4 15
46 1().()
5 16
03 35.3
6 +16
20 44.5
7 16
37 37.6
8 16
54 14.1
9 17
1(1 33.8
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 Approved For Release 2000/04/1 71j T$A4560A005700010016-9NPIC/x-5018/66
Apparent
Dec..ination
May
10
17
26
36.4
11
+17
42
21.6
12
17
57
49.2
13
18
12
58.7
14
18
27
50.0
15
18
42
22.7
16
+18
56
36.5
17
+19
10
31.1
18
19
24
06.3
19
19
37
21.8
20
19
50
17.3
21
20
02
52.5
22
+20
15
07.1
23
20
27
01.0
24
20
38
33.8
25
20
49
45.3
26
21
00
35.2
27
+21
11
(13.2
28
21
21
09.3
29
21
30
53.0
30
21
40
14.4
31
21
49
13.1
June
1
+21
57
49.0
2
22
06
01.9
3
22
13
51.8
4
22
21
18.5
5
22
28
21.7
6
+22
35
01.4
7
22
41
17.5
8
22
47
09.7
9
22
52
38.0
10
22
57
42.3
11
+23
02
22.4
12
23
06
38.1
13
23
10
29.5
14
23
13
56.4
15
23
16
58.7
16
+23
19
36
3
17
23
21
.
49.3
18
23
23
37.5
19
23
23
01.0
20
23
25
59.6
21
+23
26
33.4
22
23
26
42.4
23
23
26
26.5
24
23
25
45.8
25
23
24
40.2
26
+23
23
09.9
27
23
21
14.9
28
23
18
55.2
29
23
16
10.9
30
23
13
02.1
July
1
+23
09
29.0
2
23
0.5
31.6
3
23
((1
10.1
4
22
56
24.5
5
22
51
15.0
6
+22
45
41.6
7
22
39
44.6
8
22
33
23.9
9
22
26
39.9
10
22
19
32.6
11
+22
12
02.1
12
22
04
08.7
13
21
55
52.5
July
14
21
13.8
15
21
12.6
L6
+21
49.2
17
21
03.9
L8
21
56.8
19
20
58
28.1
20
20
47
38.2
21
+20
36
27.3
22
20
24
55.6
23
20
13
03.3
24
20
00
50.7
25
19
48
18.2
26
+19
35
25.9
27
19
22
14.2
28
19
08
43.2
29
18
54
53.4
30
18
40
45.0
31
+18
26
18.2
Aug.
1
18
11
33.4
2
17
56
30.8
3
17
41
10.7
4
17
25
33.4
5
+17
09
39.0
6
16
53
28.0
7
16
37
00.5
8
16
20
16.9
9
16
03
17.5
10
+15
46
02.4
11
15
28
32.2
12
15
10
26.9
13
14
52
47.1
14
14
34
32.8
15
+14
16
04.6
16
+13
57
22.7
17
13
38
27.5
18
1:3
19
19.3
19
12
59
58.3
2))
12
40
25.1
21
+12
20
39.8
22
12
00
42.9
23
11
40
34.7
24
11
20
15.4
25
10
59
45.5
26
+10
39
05.3
27
10
18
15.1
28
9
57
15.1
29
9
36
05.8
30
9
14
47.4
31
+8
53
20.2
Sept.
1
8
.3)
44.5
2
8
10
00.6
3
7
48
08.8
4
7
26
09.4
5
+7
(>4
02.7
6
6
41
49.0
7
(i
19
28.7
8
5
57
01.9
9
5
34
29.0
10
+5
11
50.5
11
4
49
06.5
12
4
26
17.4
13
4
0:3
23.6
14
3
40
25.5
15
+3
17
23.4
16
2
54
17.5
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 Approved For Release 2000/04/1 ?01 KID6N/ 456OAOO57OOO1OO16-c.~ PIC/R-5018/66
2
118.4
2
56.4
41.8
+1
25.0
0
06.3
22
0
34
46.1
23
+0
11
24.8
24
-0
11
57.3
25
-0
35
20.0
26
0
58
42.7
27
1
22
05.3
28
1
45
27.4
29
2
08
48.6
30
-2
32
08.7
Oct.
1.
-2
55
27.3
2
3
55
44.1
3
3
41
58.8
4
4
05
11.0
5
4
28
20.5
6
-4
51
26.8
7
5
14
29.7
8
5
37
28.7
9
6
00
23.6
10
6
23
13.9
1.1
-6
45
59.2
12
7
08
39.2
13
7
31
13.4
14
7
53
41.5
15
8
16
03.1
16
-8
38
17.7
17
9
00
24.9
18
9
22
24.3
19
9
44
15.6
20
10
05
58.2
21
-10
27
31.9
22
10
48
56.2
23
11
10
10.7
24
11
31
15.0
25
11
52
08.7
26
12
12
51.5
27
1.2
33
23.0
28
12
53
42.8.
29
13
13
50.4
30
13
33
45.7
31
-13
53
28.1
Nov.
1
14
12
57.3
2
14
32
13.0
3
14
51
14.6
4
15
10
01.9
5
-15
28
34.5
6
15
46
51.9
7
16
04
53.7
8
16
22
39.5
9
16
40
09.0
Nov.
10
-16
21.5
1.1
17
16.8
12
17
54.5
13
17
14.0
14
18
15.0
15
-18
57.1
16
-18
34
19.9
17
18
49
22.9
18
19
04
05.7
19
19
18
28.0
20
19
32
29.4
21
-19
46
09.5
22
19
59
28.0
23
20
12
24.4
24
20
24
58.5
25
20
37
09.9
26
-20
48
58.3
27
21
00
2`3.4
28
21
11
24.9
29
21
22
02.5
30
21
32
15.9
Dec.
1
-21
42
04.8
2
21
51
29.0
3
22
00
28.1
4
22
09
01.8
5
22
17
10.0
6
-22
24
52.3
7
22
32
08.4
8
22
38
58.1
9
22
45
21.3
10
22
51
17.7
11
-22
56
47.0
12
23
01
49.1
13
23
06
23.8
14
23
10
31.0
15
23
14
10.5
16
-23
17
22.1
17
23
20
05.8
18
23
22
21.4
19
23
24
08.9
20
23
25
28.2
21
-23
26
19.3
22
23
26
42.1
23
23
26
36.7
24
23
26
02.9
25
23
25
00.9
26
-23
23
30.8
27
23
21
32.4
28
23
19
06.0
29
23
16
11.5
30
23
12
49.2
31
23
08
58.9
32
-23
04
40.9
Approved For Release 2000/04/1~0Hl j@N7J QL456OAOO57OOOl0016-9
 Approved For Release 2000/04/17 CON{4Dt4F b60A005700010016-9 NPIC/R-5018/66
Apparent
Declination
Jan.
0
-23
08 58.9
1
23
04 40.9
2
22
59 55.3
3
22
54 42.1
4
22
49 01.6
5
-22
42 53.8
6
22
36 18.9
7
22
29 17.1
8
22
21 48.7
9
22
13 53.8
10
-22
05 32.7
11
21
56 45.7
12
21
47 33.0
13
21
37 54.8
14
21
27 51.4
15
-21
17 23.2
16
21
06 30.5
17
20
55 13.5
18
20
43 32.6
19
20
31 28.1
20
-20
19 ((0.3
21
20
06 09.7
22
19
52 56.6
23
19
39 21.2
24
19
25 24.1
25
-19
11 05.6
26
18
56 25.9
27
18
41 25.7
28
18
26 05.(1
29
18
10 24.4
30
-17
54 24.2
31
17
38 04.7
Feb.
1
17
21 26.3
2
17
04 29.4
3
16
47 14.4
4
-16
29 41.7
5
16
11 51.7
6
15
53 44.8
7
15
35 21.5
8
15
16 42.2
9
-14
57 47.3
10
14
38 37.2
11
14
19 12.5
12
13
59 33.4
13
13
59 40.4
14
-13
19 34.0
15
-12
59 14.7
16
12
38 42.7
17
12
17 58.7
18
11
57 02.9
19
11
35 55.8
20
-11
14 37.9
21
10
53 09.6
22
10
31 31.2
23
10
09 43.3
24
9
47 46.1
25
-9
25 40.1
26
9
03 25.6
27
8
41 03.1
28
8
18 32.6
Mar.
1
7
55 54.9
2
-7
33 1.0.1
3
7
10 18.6
4
6
47 2(1.9
D
Apparent
eclination
Mar.
5
6
17.4
(i
6
08.4
7
-5
54.4
8
5
35.7
9
4
12.7
10
4
46.0
11
4
15.8
12
-3
42.5
13
3
06.7
14
2
28.5
15
2
48.5
16
2
07.1
17
1
24.5
18
1
41
3
19
0
.
57.8
20
ll
14.3
21
0
31.4
22
+0
10.7
23
(1
51.7
24
1
30.1
25
1
08.6
27
+2
16.7
28
2
46.7
29
3
13.5
30
3
37.0
31
3
56.7
Apr.
1
+4
12.3
2
+4
23.4
3
4
58.7
4
5
30.9
5
5
26.5
6
+6
16.2
7
6
59.7
8
6
36.6
9
7
06.5
10
7
29.0
11
+7
43.9
12
8
50.8
13
8
49.2
14
9
38.8
15
9
19.4
16
+9
50.4
17
10
11.7
18
10
22.7
19
10
23.2
20
11
12.7
21
+11
51.1
22
11
18.0
23
12
33.1
24
12
36.0
25
12
26.6
26
+13
04.5
27
13
29.4
28
13
41.1
2!)
14
39.2
30
14
23.4
May
1
+14
53.5
2
15
08.9
3
15
09.6
4
15
55.0
5
15
24.9
6
+16
39.0
7
16
36.9
Approved For Release 2000/04/17C64ft7P60A005700010016-9
 Approved For Release 2000/04/'(]Q Tkh456OA005700010016 ~PIC/R-5018/66
App
Decli
arent
nation
18.3
42.9
50.4
11 +17
38
40.4
12 17
54
12.7
13 18
09
26.9
14 18
24
22.8
15 18
39
00.1
16 +18
53
18.3
17 +19
07
17.3
18 19
20
56.7
19 19
34
16.4
20 19
47
16()
21 19
59
55.3
22 +20
12
14.(1
23 20
24
12.1
24 20
:35
49.2
25 20
47
05.2
26 20
57
59.8
27 +21
08
32.8
28 21
18
44.0
29 21
28
33.2
30 21
38
00.2
31 21
47
04.8
June
1 +21
55
46.7
2 22
04
05.7
3 22
12
01.7
4 22
19
34.6
5 22
26
44.0
6 +22
33
29.8
7 22
39
52.0
8 22
45
50.3
9 22
51
24.6
10 22
56
34.8
11 +23
01
20.8
12 23
((5
42.4
13 23
09
39.5
14 23
13
12.1
15 23
16
20.2
16 +23
19
03.5
17 23
21
22.1
18 23
23
15.9
19 23
24
44.9
20 23
25
49.2
21 +23
26
28.7
22 23
26
43.4
23 23
26
33.4
24 23
25
58.7
25 23
24
59.3
26 +23
23
35.2
27 23
21
46.4
28 23
19
33.0
29 23
16
55.0
30 23
13
52.5
July
1 +23
10
25.5
2 +23
06
34.2
3 23
02
18.6
4 22
57
88.8
5 22
52
34.9
6 +22
47
07.2
7 22
41
15.6
8 22
35
00.4
9 22
28
21.7
10 22
21
19.7
+22
54.4
22
06.4
21
55.4
21
21.9
15
21
40
26.0
16
+21
31
07.9
17
21
21
27.8
18
21
11
26.1
19
21
01
02.9
20
20
50
18.4
21
+20
:39
13.0
22
20
27
46.8
23
20
16
00.0
24
20
03
53.0
25
19
51
25.8
26
+19
38
38.8
27
19
25
32.2
28
19
12
06.2
29
18
58
21.2
30
18
44
17.3
:31
+18
29
54.8
Aug.
1
18
15
14.(1
2
18
00
15.3
3
17
44
58.8
4
17
29
25.0
5
+17
13
34.0
6
16
57
26.2
7
16
41
02.0
8
16
24
21.6
9
16
07
25.3
10
+15
50
1:3.5
11
15
32
46.5
12
15
15
04.7
1:3
14
57
08.3
14
14
38
57.6
15
+14
21)
33.1
16
+14
01
55.0
17
13
43
03.6
18
13
23
59.3
19
13
04
42.4
20
12
45
13.1
21
+12
25
31.7
22
12
05
38.5
23
11
45
33.8
24
11
25
17.9
25
11
04
51.1
26
+10
44
13.7
27
10
2:3
25.9
28
10
02
28.2
29
9
41
20.8
30
9
20
04.0
31
+8
58
38.1
Sept.
1
8
37
03.6
2
8
15
20.6
3
7
53
29.7
4
7
31
31.0
5
+7
09
25.0
(1
6
47
11.9
7
6
24
52.3
8
6
02
26.3
5
39
54.4
10
+5
17
16.9
11
4
54
34.1
12
4
31
46.5
Approved For Release 2000/04/17
ffRf560AO05700010016-9
6ftim
 Approved For Release 2000/04/17 :c IC!Nft[~OA005700010016-9 NPIC/R-5018/66
Apparent
Declination
Deg
Sept.
13 4
08
54.3
14 3
45
57.9
15 +3
22
57.5
16 2
59
53.6
17 2
36
46.4
18 2
13
36.2
19 1
50
23.3
20 +1
27
08.1
21 1
03
50.7
22 O
40
31.7
23 +5
17
11.1
24 -O
06
10.6
25 -0
29
33.1
26 0
52
56.6
27 1
16
19.1
28 1
39
42.0
29 2
03
04.4
30 -2
26
25.8
Oct.
1 -2
49
41).0
2 2
13
04.6
3 3
36
21.1
4 3
59
35.2
5 4
22
46.5
6 -4
45
54.7
7 5
08
59.2
8 5
31
59.8
9 5
54
56.1
10 6
17
47.6
11 -6
40
33.9
12 7
03
14.8
13 7
25
49.8
14 7
48
18.5
15 8
10
40.7
16 -8
32
55.9
17 8
55
03.9
18 9
17
04.2
19 9
38
56.4
20 10
00
40.4
21 -10
22
15.5
22 10
43
41.7
23 11
04
58.3
24 11
26
05.1
25 11
47
01.6
26 -12
07
47.6
27 12
28
22.5
28 12
48
46.0
29 13
08
57.7
30 13
28
57.0
31 -13
48
43.7
Nov.
1 14
08
17.3
2 14
27
37.4
3 14
46
43.5
4 15
05
35.2
5 -15
24
12.()
6 15
42
33.6
7 16
00
39.5
Apparent
Declination
Mm .
Sec.
Nov.
8 16 18 29.3
9 16 36 02.5
10 -16 53 18.8
11 17 10 17.7
12 17 26 .59.O
13 17 43 22.1
14 17 59 26.8
15 -18 15 12.6
16 -18 30 39.2
17 18 45 46.2
18 19 00 33.3
19 19 15 00.1
20 19 29 06.3
21 -19 42 51.4
22 19 56 15.1
23 20 09 17.1
24 20 21 57.0
25 2(1 34 14.5
26 -20 46 (19.1
27 20 57 40.6
28 21 08 48.5
29 21 19 32.6
30 21 29 52.5
Dec.
1 -21 39 47.9
2 21 49 18.6
3 21 58 24.1
4 22 07 04.2
5 22 15 18.7
6 -22 23 07.2
7 22 30 29.5
8 22 37 25.4
9 22 43 54.7
10 22 49 57.1
11 -22 55 32.4
12 23 00 40.7
13 23 05 21.5
14 23 09 34.8
15 23 13 20.5
16 -23 16 38.6
17 23 19 28.8
18 2321 51.0
19 23 23 45.3
20 23 25 11.5
21 -23 26 09.5
22 23 26 39.4
23 23 26 41.1
24 23 26 14.5
25 23 25 19.6
26 -23 23 56.4
27 23 22 (15.0
28 23 19 45.4
29 23 16 57.6
30 23 13 41.8
31 -23 09 58.0
Approved For Release 2000/04/17e6 ffr7819Q41560A005700010016-9
 Approved For Release 2000/04/17 :CFP0A005700010016-9
Approved For Release 2000/04/1 -CoNffMl"t560A005700010016-9