Sunrise, sunset and twilights in Berlin in 2023

Berlin, Germany

This table is for the year 2023. See also table for 2024. There are also tables of daylength in Berlin in 2023 and 2024, and tables of moonrise and moonset in 2023 and 2024.

Time zone: UT+1. (UT is the same as GMT.) Daylight-saving time is not used in the tables on this page.

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		Morning twilight begins			Sun			Evening twilight ends			Sun	Sun
Day		Astro- nomical	Nautical	Civil	Rise	Noon	Set	Civil	Nautical	Astro- nomical	Lower transit	Azimuth	True altitude	App. altitude	Azimuth
January
1	S	6 10	6 51	7 35	8 17	12 09	16 02	16 43	17 28	18 09	0 09	129	S 14.5	S 14.5	−129
2	M	6 10	6 51	7 35	8 17	12 10	16 03	16 44	17 28	18 10	0 10	128	S 14.6	S 14.6	−128
3	T	6 10	6 51	7 35	8 16	12 10	16 04	16 46	17 29	18 11	0 10	128	S 14.7	S 14.7	−128
4	W	6 10	6 51	7 35	8 16	12 11	16 06	16 47	17 31	18 12	0 11	128	S 14.8	S 14.8	−128
5	T	6 10	6 51	7 35	8 16	12 11	16 07	16 48	17 32	18 13	0 11	128	S 14.9	S 14.9	−128
6	F	6 09	6 51	7 35	8 15	12 12	16 08	16 49	17 33	18 14	0 11	128	S 15.0	S 15.1	−128
7	S	6 09	6 51	7 34	8 15	12 12	16 09	16 50	17 34	18 15	0 12	127	S 15.1	S 15.2	−127
8	S	6 09	6 50	7 34	8 15	12 13	16 11	16 51	17 35	18 16	0 12	127	S 15.2	S 15.3	−127
9	M	6 09	6 50	7 34	8 14	12 13	16 12	16 53	17 36	18 17	0 13	127	S 15.4	S 15.4	−127
10	T	6 08	6 50	7 33	8 13	12 13	16 14	16 54	17 37	18 19	0 13	127	S 15.5	S 15.6	−127
11	W	6 08	6 49	7 33	8 13	12 14	16 15	16 55	17 39	18 20	0 14	126	S 15.7	S 15.7	−126
12	T	6 08	6 49	7 32	8 12	12 14	16 17	16 57	17 40	18 21	0 14	126	S 15.8	S 15.9	−126
13	F	6 07	6 48	7 31	8 11	12 15	16 18	16 58	17 41	18 22	0 14	126	S 16.0	S 16.1	−126
14	S	6 07	6 48	7 31	8 10	12 15	16 20	17 00	17 43	18 24	0 15	125	S 16.2	S 16.2	−125
15	S	6 06	6 47	7 30	8 10	12 15	16 21	17 01	17 44	18 25	0 15	125	S 16.4	S 16.4	−125
16	M	6 05	6 46	7 29	8 09	12 16	16 23	17 02	17 45	18 26	0 15	125	S 16.5	S 16.6	−125
17	T	6 05	6 46	7 28	8 08	12 16	16 25	17 04	17 47	18 28	0 16	124	S 16.7	S 16.8	−124
18	W	6 04	6 45	7 28	8 07	12 16	16 26	17 05	17 48	18 29	0 16	124	S 16.9	S 17.0	−124
19	T	6 03	6 44	7 27	8 06	12 17	16 28	17 07	17 50	18 30	0 16	124	S 17.1	S 17.2	−123
20	F	6 03	6 43	7 26	8 05	12 17	16 30	17 09	17 51	18 32	0 17	123	S 17.4	S 17.4	−123
21	S	6 02	6 42	7 25	8 03	12 17	16 31	17 10	17 53	18 33	0 17	123	S 17.6	S 17.6	−123
22	S	6 01	6 41	7 24	8 02	12 17	16 33	17 12	17 54	18 35	0 17	122	S 17.8	S 17.9	−122
23	M	6 00	6 40	7 23	8 01	12 18	16 35	17 13	17 56	18 36	0 18	122	S 18.0	S 18.1	−122
24	T	5 59	6 39	7 21	8 00	12 18	16 37	17 15	17 57	18 37	0 18	122	S 18.3	S 18.3	−121
25	W	5 58	6 38	7 20	7 58	12 18	16 38	17 17	17 59	18 39	0 18	121	S 18.5	S 18.6	−121
26	T	5 57	6 37	7 19	7 57	12 18	16 40	17 18	18 00	18 40	0 18	121	S 18.8	S 18.8	−120
27	F	5 56	6 36	7 18	7 56	12 19	16 42	17 20	18 02	18 42	0 19	120	S 19.0	S 19.1	−120
28	S	5 55	6 35	7 16	7 54	12 19	16 44	17 22	18 03	18 44	0 19	120	S 19.3	S 19.3	−120
29	S	5 54	6 34	7 15	7 53	12 19	16 46	17 23	18 05	18 45	0 19	119	S 19.6	S 19.6	−119
30	M	5 52	6 32	7 14	7 51	12 19	16 48	17 25	18 07	18 47	0 19	119	S 19.8	S 19.9	−119
31	T	5 51	6 31	7 12	7 50	12 19	16 50	17 27	18 08	18 48	0 19	118	S 20.1	S 20.1	−118
February
1	W	5 50	6 30	7 11	7 48	12 19	16 51	17 29	18 10	18 50	0 19	118	S 20.4	S 20.4	−118
2	T	5 49	6 28	7 09	7 47	12 20	16 53	17 30	18 11	18 51	0 20	117	S 20.7	S 20.7	−117
3	F	5 47	6 27	7 08	7 45	12 20	16 55	17 32	18 13	18 53	0 20	117	S 21.0	S 21.0	−117
4	S	5 46	6 26	7 06	7 43	12 20	16 57	17 34	18 15	18 55	0 20	116	S 21.3	S 21.3	−116
5	S	5 44	6 24	7 05	7 42	12 20	16 59	17 36	18 16	18 56	0 20	116	S 21.6	S 21.6	−115
6	M	5 43	6 23	7 03	7 40	12 20	17 01	17 37	18 18	18 58	0 20	115	S 21.9	S 21.9	−115
7	T	5 41	6 21	7 02	7 38	12 20	17 03	17 39	18 20	19 00	0 20	115	S 22.2	S 22.2	−114
8	W	5 40	6 19	7 00	7 36	12 20	17 05	17 41	18 22	19 01	0 20	114	S 22.5	S 22.5	−114
9	T	5 38	6 18	6 58	7 34	12 20	17 07	17 43	18 23	19 03	0 20	114	S 22.8	S 22.9	−113
10	F	5 37	6 16	6 57	7 33	12 20	17 08	17 45	18 25	19 05	0 20	113	S 23.1	S 23.2	−113
11	S	5 35	6 14	6 55	7 31	12 20	17 10	17 46	18 27	19 06	0 20	112	S 23.5	S 23.5	−112
12	S	5 33	6 13	6 53	7 29	12 20	17 12	17 48	18 28	19 08	0 20	112	S 23.8	S 23.8	−112
13	M	5 32	6 11	6 51	7 27	12 20	17 14	17 50	18 30	19 10	0 20	111	S 24.1	S 24.2	−111
14	T	5 30	6 09	6 49	7 25	12 20	17 16	17 52	18 32	19 11	0 20	111	S 24.5	S 24.5	−110
15	W	5 28	6 07	6 47	7 23	12 20	17 18	17 54	18 34	19 13	0 20	110	S 24.8	S 24.8	−110
16	T	5 26	6 06	6 46	7 21	12 20	17 20	17 55	18 35	19 15	0 20	110	S 25.2	S 25.2	−109
17	F	5 24	6 04	6 44	7 19	12 20	17 22	17 57	18 37	19 16	0 20	109	S 25.5	S 25.5	−109
18	S	5 22	6 02	6 42	7 17	12 20	17 24	17 59	18 39	19 18	0 20	108	S 25.9	S 25.9	−108
19	S	5 21	6 00	6 40	7 15	12 20	17 26	18 01	18 41	19 20	0 20	108	S 26.2	S 26.2	−107
20	M	5 19	5 58	6 38	7 13	12 20	17 28	18 02	18 42	19 22	0 20	107	S 26.6	S 26.6	−107
21	T	5 17	5 56	6 36	7 11	12 20	17 29	18 04	18 44	19 24	0 20	107	S 26.9	S 27.0	−106
22	W	5 15	5 54	6 34	7 08	12 19	17 31	18 06	18 46	19 25	0 19	106	S 27.3	S 27.3	−106
23	T	5 13	5 52	6 32	7 06	12 19	17 33	18 08	18 48	19 27	0 19	105	S 27.7	S 27.7	−105
24	F	5 11	5 50	6 30	7 04	12 19	17 35	18 10	18 49	19 29	0 19	105	S 28.0	S 28.1	−104
25	S	5 08	5 48	6 27	7 02	12 19	17 37	18 11	18 51	19 31	0 19	104	S 28.4	S 28.4	−104
26	S	5 06	5 46	6 25	7 00	12 19	17 39	18 13	18 53	19 33	0 19	103	S 28.8	S 28.8	−103
27	M	5 04	5 44	6 23	6 58	12 19	17 41	18 15	18 55	19 34	0 19	103	S 29.1	S 29.2	−103
28	T	5 02	5 42	6 21	6 55	12 18	17 42	18 17	18 56	19 36	0 19	102	S 29.5	S 29.5	−102
March
1	W	5 00	5 40	6 19	6 53	12 18	17 44	18 19	18 58	19 38	0 18	102	S 29.9	S 29.9	−101
2	T	4 58	5 37	6 17	6 51	12 18	17 46	18 20	19 00	19 40	0 18	101	S 30.3	S 30.3	−101
3	F	4 55	5 35	6 15	6 49	12 18	17 48	18 22	19 02	19 42	0 18	100	S 30.7	S 30.7	−100
4	S	4 53	5 33	6 12	6 47	12 18	17 50	18 24	19 04	19 44	0 18	100	S 31.0	S 31.1	−99
5	S	4 51	5 31	6 10	6 44	12 17	17 52	18 26	19 05	19 46	0 18	99	S 31.4	S 31.5	−99
6	M	4 48	5 28	6 08	6 42	12 17	17 53	18 28	19 07	19 47	0 17	98	S 31.8	S 31.8	−98
7	T	4 46	5 26	6 06	6 40	12 17	17 55	18 29	19 09	19 49	0 17	98	S 32.2	S 32.2	−97
8	W	4 44	5 24	6 03	6 37	12 17	17 57	18 31	19 11	19 51	0 17	97	S 32.6	S 32.6	−97
9	T	4 41	5 22	6 01	6 35	12 17	17 59	18 33	19 13	19 53	0 17	96	S 33.0	S 33.0	−96
10	F	4 39	5 19	5 59	6 33	12 16	18 01	18 35	19 14	19 55	0 16	96	S 33.4	S 33.4	−96
11	S	4 36	5 17	5 57	6 31	12 16	18 02	18 37	19 16	19 57	0 16	95	S 33.8	S 33.8	−95
12	S	4 34	5 15	5 54	6 28	12 16	18 04	18 38	19 18	19 59	0 16	95	S 34.2	S 34.2	−94
13	M	4 31	5 12	5 52	6 26	12 15	18 06	18 40	19 20	20 01	0 16	94	S 34.6	S 34.6	−94
14	T	4 29	5 10	5 50	6 24	12 15	18 08	18 42	19 22	20 03	0 15	93	S 35.0	S 35.0	−93
15	W	4 26	5 07	5 47	6 21	12 15	18 10	18 44	19 24	20 05	0 15	93	S 35.3	S 35.4	−92
16	T	4 24	5 05	5 45	6 19	12 15	18 11	18 46	19 26	20 07	0 15	92	S 35.7	S 35.8	−92
17	F	4 21	5 03	5 43	6 16	12 14	18 13	18 47	19 27	20 09	0 15	91	S 36.1	S 36.2	−91
18	S	4 19	5 00	5 40	6 14	12 14	18 15	18 49	19 29	20 11	0 14	91	S 36.5	S 36.6	−90
19	S	4 16	4 58	5 38	6 12	12 14	18 17	18 51	19 31	20 13	0 14	90	S 36.9	S 36.9	−90
20	M	4 13	4 55	5 35	6 09	12 13	18 19	18 53	19 33	20 15	0 14	89	S 37.3	S 37.3	−89
21	T	4 11	4 53	5 33	6 07	12 13	18 20	18 54	19 35	20 17	0 13	89	S 37.7	S 37.7	−88
22	W	4 08	4 50	5 31	6 05	12 13	18 22	18 56	19 37	20 19	0 13	88	S 38.1	S 38.1	−88
23	T	4 05	4 48	5 28	6 02	12 13	18 24	18 58	19 39	20 22	0 13	87	S 38.5	S 38.5	−87
24	F	4 02	4 45	5 26	6 00	12 12	18 26	19 00	19 41	20 24	0 12	87	S 38.9	S 38.9	−86
25	S	4 00	4 43	5 23	5 58	12 12	18 27	19 02	19 43	20 26	0 12	86	S 39.3	S 39.3	−86
26	S	3 57	4 40	5 21	5 55	12 12	18 29	19 03	19 45	20 28	0 12	85	S 39.7	S 39.7	−85
27	M	3 54	4 38	5 19	5 53	12 11	18 31	19 05	19 47	20 30	0 12	85	S 40.1	S 40.1	−84
28	T	3 51	4 35	5 16	5 51	12 11	18 33	19 07	19 49	20 33	0 11	84	S 40.5	S 40.5	−84
29	W	3 48	4 33	5 14	5 48	12 11	18 34	19 09	19 51	20 35	0 11	84	S 40.9	S 40.9	−83
30	T	3 46	4 30	5 11	5 46	12 10	18 36	19 11	19 53	20 37	0 11	83	S 41.2	S 41.3	−83
31	F	3 43	4 27	5 09	5 44	12 10	18 38	19 13	19 55	20 40	0 10	82	S 41.6	S 41.7	−82
April
1	S	3 40	4 25	5 07	5 41	12 10	18 40	19 14	19 57	20 42	0 10	82	S 42.0	S 42.0	−81
2	S	3 37	4 22	5 04	5 39	12 10	18 41	19 16	19 59	20 44	0 10	81	S 42.4	S 42.4	−81
3	M	3 34	4 19	5 02	5 37	12 09	18 43	19 18	20 01	20 47	0 09	80	S 42.8	S 42.8	−80
4	T	3 31	4 17	4 59	5 34	12 09	18 45	19 20	20 03	20 49	0 09	80	S 43.2	S 43.2	−79
5	W	3 28	4 14	4 57	5 32	12 09	18 47	19 22	20 05	20 52	0 09	79	S 43.6	S 43.6	−79
6	T	3 25	4 12	4 54	5 30	12 08	18 48	19 24	20 07	20 54	0 09	78	S 43.9	S 44.0	−78
7	F	3 22	4 09	4 52	5 27	12 08	18 50	19 26	20 09	20 57	0 08	78	S 44.3	S 44.3	−77
8	S	3 19	4 06	4 50	5 25	12 08	18 52	19 27	20 11	20 59	0 08	77	S 44.7	S 44.7	−77
9	S	3 16	4 04	4 47	5 23	12 08	18 54	19 29	20 13	21 02	0 08	77	S 45.1	S 45.1	−76
10	M	3 12	4 01	4 45	5 20	12 07	18 55	19 31	20 15	21 04	0 07	76	S 45.4	S 45.4	−76
11	T	3 09	3 58	4 42	5 18	12 07	18 57	19 33	20 17	21 07	0 07	75	S 45.8	S 45.8	−75
12	W	3 06	3 56	4 40	5 16	12 07	18 59	19 35	20 20	21 10	0 07	75	S 46.2	S 46.2	−74
13	T	3 03	3 53	4 38	5 14	12 07	19 01	19 37	20 22	21 12	0 07	74	S 46.5	S 46.5	−74
14	F	3 00	3 50	4 35	5 11	12 06	19 02	19 39	20 24	21 15	0 06	73	S 46.9	S 46.9	−73
15	S	2 57	3 48	4 33	5 09	12 06	19 04	19 41	20 26	21 18	0 06	73	S 47.3	S 47.3	−73
16	S	2 53	3 45	4 30	5 07	12 06	19 06	19 43	20 28	21 21	0 06	72	S 47.6	S 47.6	−72
17	M	2 50	3 42	4 28	5 05	12 06	19 08	19 44	20 31	21 24	0 06	72	S 48.0	S 48.0	−71
18	T	2 47	3 40	4 26	5 02	12 05	19 09	19 46	20 33	21 27	0 05	71	S 48.3	S 48.3	−71
19	W	2 43	3 37	4 23	5 00	12 05	19 11	19 48	20 35	21 30	0 05	70	S 48.7	S 48.7	−70
20	T	2 40	3 34	4 21	4 58	12 05	19 13	19 50	20 37	21 33	0 05	70	S 49.0	S 49.0	−70
21	F	2 36	3 32	4 19	4 56	12 05	19 15	19 52	20 40	21 36	0 05	69	S 49.3	S 49.4	−69
22	S	2 33	3 29	4 16	4 54	12 05	19 16	19 54	20 42	21 39	0 05	69	S 49.7	S 49.7	−68
23	S	2 29	3 26	4 14	4 52	12 04	19 18	19 56	20 44	21 42	0 04	68	S 50.0	S 50.0	−68
24	M	2 26	3 23	4 12	4 50	12 04	19 20	19 58	20 47	21 45	0 04	68	S 50.3	S 50.4	−67
25	T	2 22	3 21	4 09	4 48	12 04	19 22	20 00	20 49	21 49	0 04	67	S 50.7	S 50.7	−67
26	W	2 19	3 18	4 07	4 45	12 04	19 23	20 02	20 51	21 52	0 04	66	S 51.0	S 51.0	−66
27	T	2 15	3 15	4 05	4 43	12 04	19 25	20 04	20 54	21 55	0 04	66	S 51.3	S 51.3	−66
28	F	2 11	3 13	4 03	4 41	12 03	19 27	20 06	20 56	21 59	0 04	65	S 51.6	S 51.6	−65
29	S	2 07	3 10	4 00	4 39	12 03	19 28	20 08	20 58	22 02	0 03	65	S 51.9	S 52.0	−64
30	S	2 03	3 07	3 58	4 37	12 03	19 30	20 10	21 01	22 06	0 03	64	S 52.3	S 52.3	−64
May
1	M	2 00	3 05	3 56	4 35	12 03	19 32	20 11	21 03	22 10	0 03	64	S 52.6	S 52.6	−63
2	T	1 56	3 02	3 54	4 33	12 03	19 34	20 13	21 06	22 14	0 03	63	S 52.9	S 52.9	−63
3	W	1 51	2 59	3 52	4 31	12 03	19 35	20 15	21 08	22 18	0 03	63	S 53.2	S 53.2	−62
4	T	1 47	2 57	3 50	4 30	12 03	19 37	20 17	21 11	22 22	0 03	62	S 53.5	S 53.5	−62
5	F	1 43	2 54	3 47	4 28	12 03	19 39	20 19	21 13	22 26	0 03	62	S 53.7	S 53.8	−61
6	S	1 39	2 52	3 45	4 26	12 03	19 40	20 21	21 16	22 30	0 03	61	S 54.0	S 54.0	−61
7	S	1 34	2 49	3 43	4 24	12 03	19 42	20 23	21 18	22 35	0 03	61	S 54.3	S 54.3	−60
8	M	1 30	2 46	3 41	4 22	12 02	19 44	20 25	21 21	22 40	0 02	60	S 54.6	S 54.6	−60
9	T	1 25	2 44	3 39	4 20	12 02	19 45	20 27	21 23	22 45	0 02	60	S 54.8	S 54.9	−59
10	W	1 20	2 41	3 37	4 19	12 02	19 47	20 29	21 26	22 50	0 02	59	S 55.1	S 55.1	−59
11	T	1 14	2 38	3 35	4 17	12 02	19 49	20 31	21 28	22 55	0 02	59	S 55.4	S 55.4	−58
12	F	1 09	2 36	3 33	4 15	12 02	19 50	20 33	21 31	23 01	0 02	58	S 55.6	S 55.6	−58
13	S	1 03	2 33	3 31	4 14	12 02	19 52	20 35	21 33	23 08	0 02	58	S 55.9	S 55.9	−57
14	S	0 56	2 31	3 29	4 12	12 02	19 54	20 36	21 36	23 15	0 02	57	S 56.1	S 56.1	−57
15	M	0 49	2 28	3 28	4 10	12 02	19 55	20 38	21 38	23 23	0 02	57	S 56.4	S 56.4	−56
16	T	0 41	2 26	3 26	4 09	12 02	19 57	20 40	21 41	23 33	0 02	56	S 56.6	S 56.6	−56
17	W	0 31	2 23	3 24	4 07	12 02	19 58	20 42	21 43	23 50	0 02	56	S 56.8	S 56.8	−56
18	T	0 14	2 21	3 22	4 06	12 02	20 00	20 44	21 46		0 02	55	S 57.0	S 57.0	−55
19	F	////	2 18	3 21	4 04	12 02	20 01	20 46	21 49	−17.8	0 02	55	S 57.3	S 57.3	−55
20	S	////	2 16	3 19	4 03	12 02	20 03	20 47	21 51	−17.6	0 02	55	S 57.5	S 57.5	−54
21	S	////	2 14	3 17	4 02	12 03	20 04	20 49	21 54	−17.4	0 02	54	S 57.7	S 57.7	−54
22	M	////	2 11	3 16	4 00	12 03	20 06	20 51	21 56	−17.2	0 03	54	S 57.9	S 57.9	−54
23	T	////	2 09	3 14	3 59	12 03	20 07	20 53	21 59	−17.0	0 03	54	S 58.1	S 58.1	−53
24	W	////	2 07	3 12	3 58	12 03	20 09	20 54	22 01	−16.8	0 03	53	S 58.3	S 58.3	−53
25	T	////	2 04	3 11	3 57	12 03	20 10	20 56	22 03	−16.6	0 03	53	S 58.4	S 58.4	−53
26	F	////	2 02	3 10	3 55	12 03	20 11	20 57	22 06	−16.4	0 03	52	S 58.6	S 58.6	−52
27	S	////	2 00	3 08	3 54	12 03	20 13	20 59	22 08	−16.3	0 03	52	S 58.8	S 58.8	−52
28	S	////	1 58	3 07	3 53	12 03	20 14	21 01	22 11	−16.1	0 03	52	S 58.9	S 59.0	−52
29	M	////	1 56	3 06	3 52	12 03	20 15	21 02	22 13	−15.9	0 03	51	S 59.1	S 59.1	−51
30	T	////	1 54	3 04	3 51	12 03	20 16	21 04	22 15	−15.8	0 03	51	S 59.3	S 59.3	−51
31	W	////	1 52	3 03	3 50	12 04	20 18	21 05	22 17	−15.6	0 04	51	S 59.4	S 59.4	−51
June
1	T	////	1 50	3 02	3 49	12 04	20 19	21 06	22 20	−15.5	0 04	51	S 59.5	S 59.5	−50
2	F	////	1 48	3 01	3 49	12 04	20 20	21 08	22 22	−15.4	0 04	50	S 59.7	S 59.7	−50
3	S	////	1 46	3 00	3 48	12 04	20 21	21 09	22 24	−15.2	0 04	50	S 59.8	S 59.8	−50
4	S	////	1 44	2 59	3 47	12 04	20 22	21 10	22 26	−15.1	0 04	50	S 59.9	S 59.9	−50
5	M	////	1 42	2 58	3 46	12 04	20 23	21 11	22 28	−15.0	0 04	50	S 60.0	S 60.0	−49
6	T	////	1 41	2 57	3 46	12 05	20 24	21 13	22 30	−14.9	0 04	49	S 60.1	S 60.1	−49
7	W	////	1 39	2 56	3 45	12 05	20 25	21 14	22 32	−14.8	0 05	49	S 60.2	S 60.2	−49
8	T	////	1 38	2 56	3 45	12 05	20 26	21 15	22 33	−14.7	0 05	49	S 60.3	S 60.3	−49
9	F	////	1 36	2 55	3 44	12 05	20 27	21 16	22 35	−14.6	0 05	49	S 60.4	S 60.4	−49
10	S	////	1 35	2 55	3 44	12 05	20 27	21 17	22 37	−14.5	0 05	49	S 60.5	S 60.5	−49
11	S	////	1 34	2 54	3 43	12 06	20 28	21 18	22 38	−14.4	0 05	49	S 60.6	S 60.6	−48
12	M	////	1 33	2 54	3 43	12 06	20 29	21 18	22 40	−14.4	0 06	48	S 60.6	S 60.6	−48
13	T	////	1 32	2 53	3 43	12 06	20 29	21 19	22 41	−14.3	0 06	48	S 60.7	S 60.7	−48
14	W	////	1 31	2 53	3 43	12 06	20 30	21 20	22 42	−14.2	0 06	48	S 60.7	S 60.8	−48
15	T	////	1 31	2 53	3 42	12 06	20 31	21 21	22 43	−14.2	0 06	48	S 60.8	S 60.8	−48
16	F	////	1 30	2 52	3 42	12 07	20 31	21 21	22 44	−14.2	0 06	48	S 60.8	S 60.8	−48
17	S	////	1 29	2 52	3 42	12 07	20 32	21 22	22 45	−14.1	0 07	48	S 60.9	S 60.9	−48
18	S	////	1 29	2 52	3 42	12 07	20 32	21 22	22 45	−14.1	0 07	48	S 60.9	S 60.9	−48
19	M	////	1 29	2 52	3 42	12 07	20 32	21 22	22 46	−14.1	0 07	48	S 60.9	S 60.9	−48
20	T	////	1 29	2 52	3 42	12 07	20 33	21 23	22 46	−14.1	0 07	48	S 60.9	S 60.9	−48
21	W	////	1 29	2 52	3 43	12 08	20 33	21 23	22 46	−14.0	0 08	48	S 60.9	S 60.9	−48
22	T	////	1 29	2 53	3 43	12 08	20 33	21 23	22 47	−14.0	0 08	48	S 60.9	S 60.9	−48
23	F	////	1 29	2 53	3 43	12 08	20 33	21 23	22 47	−14.1	0 08	48	S 60.9	S 60.9	−48
24	S	////	1 30	2 53	3 43	12 08	20 33	21 23	22 46	−14.1	0 08	48	S 60.9	S 60.9	−48
25	S	////	1 31	2 54	3 44	12 09	20 33	21 23	22 46	−14.1	0 08	48	S 60.9	S 60.9	−48
26	M	////	1 31	2 54	3 44	12 09	20 33	21 23	22 46	−14.1	0 09	48	S 60.8	S 60.9	−48
27	T	////	1 32	2 55	3 45	12 09	20 33	21 23	22 45	−14.1	0 09	48	S 60.8	S 60.8	−48
28	W	////	1 33	2 55	3 45	12 09	20 33	21 23	22 44	−14.2	0 09	48	S 60.8	S 60.8	−48
29	T	////	1 34	2 56	3 46	12 09	20 33	21 22	22 44	−14.2	0 09	48	S 60.7	S 60.7	−48
30	F	////	1 35	2 57	3 46	12 10	20 32	21 22	22 43	−14.3	0 09	48	S 60.7	S 60.7	−48
July
1	S	////	1 37	2 57	3 47	12 10	20 32	21 22	22 42	−14.3	0 10	48	S 60.6	S 60.6	−48
2	S	////	1 38	2 58	3 48	12 10	20 32	21 21	22 41	−14.4	0 10	48	S 60.5	S 60.5	−49
3	M	////	1 40	2 59	3 49	12 10	20 31	21 20	22 39	−14.5	0 10	49	S 60.4	S 60.5	−49
4	T	////	1 41	3 00	3 49	12 10	20 31	21 20	22 38	−14.6	0 10	49	S 60.4	S 60.4	−49
5	W	////	1 43	3 01	3 50	12 11	20 30	21 19	22 37	−14.7	0 10	49	S 60.3	S 60.3	−49
6	T	////	1 45	3 02	3 51	12 11	20 30	21 18	22 35	−14.7	0 11	49	S 60.2	S 60.2	−49
7	F	////	1 47	3 03	3 52	12 11	20 29	21 18	22 34	−14.8	0 11	49	S 60.1	S 60.1	−50
8	S	////	1 49	3 05	3 53	12 11	20 28	21 17	22 32	−15.0	0 11	50	S 60.0	S 60.0	−50
9	S	////	1 51	3 06	3 54	12 11	20 28	21 16	22 30	−15.1	0 11	50	S 59.8	S 59.8	−50
10	M	////	1 53	3 07	3 55	12 11	20 27	21 15	22 28	−15.2	0 11	50	S 59.7	S 59.7	−50
11	T	////	1 55	3 08	3 56	12 11	20 26	21 14	22 26	−15.3	0 11	50	S 59.6	S 59.6	−50
12	W	////	1 57	3 10	3 57	12 12	20 25	21 12	22 24	−15.4	0 12	51	S 59.4	S 59.5	−51
13	T	////	1 59	3 11	3 58	12 12	20 24	21 11	22 22	−15.6	0 12	51	S 59.3	S 59.3	−51
14	F	////	2 01	3 13	4 00	12 12	20 23	21 10	22 20	−15.7	0 12	51	S 59.2	S 59.2	−51
15	S	////	2 04	3 14	4 01	12 12	20 22	21 09	22 18	−15.9	0 12	51	S 59.0	S 59.0	−52
16	S	////	2 06	3 15	4 02	12 12	20 21	21 07	22 16	−16.0	0 12	52	S 58.8	S 58.9	−52
17	M	////	2 08	3 17	4 03	12 12	20 20	21 06	22 14	−16.2	0 12	52	S 58.7	S 58.7	−52
18	T	////	2 11	3 19	4 05	12 12	20 19	21 05	22 12	−16.4	0 12	52	S 58.5	S 58.5	−53
19	W	////	2 13	3 20	4 06	12 12	20 18	21 03	22 10	−16.6	0 12	53	S 58.3	S 58.3	−53
20	T	////	2 15	3 22	4 07	12 12	20 16	21 02	22 07	−16.7	0 12	53	S 58.1	S 58.2	−53
21	F	////	2 18	3 23	4 09	12 12	20 15	21 00	22 05	−16.9	0 12	53	S 57.9	S 58.0	−54
22	S	////	2 20	3 25	4 10	12 12	20 14	20 58	22 03	−17.1	0 12	54	S 57.8	S 57.8	−54
23	S	////	2 23	3 27	4 11	12 12	20 12	20 57	22 00	−17.3	0 12	54	S 57.6	S 57.6	−54
24	M	////	2 25	3 29	4 13	12 12	20 11	20 55	21 58	−17.5	0 12	55	S 57.3	S 57.4	−55
25	T	////	2 28	3 30	4 14	12 12	20 10	20 53	21 55	−17.7	0 12	55	S 57.1	S 57.1	−55
26	W		2 30	3 32	4 16	12 12	20 08	20 52	21 53	23 51	0 12	55	S 56.9	S 56.9	−56
27	T	0 35	2 33	3 34	4 17	12 12	20 07	20 50	21 50	23 38	0 12	56	S 56.7	S 56.7	−56
28	F	0 47	2 35	3 36	4 19	12 12	20 05	20 48	21 48	23 29	0 12	56	S 56.5	S 56.5	−57
29	S	0 56	2 38	3 37	4 20	12 12	20 03	20 46	21 45	23 22	0 12	57	S 56.2	S 56.2	−57
30	S	1 04	2 40	3 39	4 22	12 12	20 02	20 44	21 43	23 15	0 12	57	S 56.0	S 56.0	−57
31	M	1 10	2 43	3 41	4 23	12 12	20 00	20 42	21 40	23 09	0 12	58	S 55.7	S 55.8	−58
August
1	T	1 16	2 45	3 43	4 25	12 12	19 59	20 40	21 38	23 03	0 12	58	S 55.5	S 55.5	−58
2	W	1 22	2 48	3 45	4 27	12 12	19 57	20 38	21 35	22 58	0 12	58	S 55.2	S 55.3	−59
3	T	1 27	2 50	3 47	4 28	12 12	19 55	20 36	21 32	22 53	0 12	59	S 55.0	S 55.0	−59
4	F	1 32	2 52	3 48	4 30	12 12	19 53	20 34	21 30	22 48	0 12	59	S 54.7	S 54.7	−60
5	S	1 37	2 55	3 50	4 31	12 12	19 52	20 32	21 27	22 43	0 12	60	S 54.4	S 54.5	−60
6	S	1 41	2 57	3 52	4 33	12 12	19 50	20 30	21 24	22 38	0 12	60	S 54.2	S 54.2	−61
7	M	1 46	3 00	3 54	4 35	12 12	19 48	20 28	21 22	22 34	0 12	61	S 53.9	S 53.9	−61
8	T	1 50	3 02	3 56	4 36	12 12	19 46	20 26	21 19	22 30	0 12	61	S 53.6	S 53.6	−62
9	W	1 54	3 05	3 58	4 38	12 12	19 44	20 24	21 16	22 25	0 12	62	S 53.3	S 53.3	−62
10	T	1 58	3 07	4 00	4 40	12 11	19 42	20 22	21 14	22 21	0 11	62	S 53.0	S 53.1	−63
11	F	2 02	3 09	4 01	4 41	12 11	19 40	20 20	21 11	22 17	0 11	63	S 52.7	S 52.8	−63
12	S	2 06	3 12	4 03	4 43	12 11	19 38	20 17	21 08	22 13	0 11	64	S 52.4	S 52.5	−64
13	S	2 09	3 14	4 05	4 45	12 11	19 36	20 15	21 06	22 09	0 11	64	S 52.1	S 52.2	−64
14	M	2 13	3 16	4 07	4 46	12 11	19 34	20 13	21 03	22 05	0 11	65	S 51.8	S 51.9	−65
15	T	2 16	3 19	4 09	4 48	12 10	19 32	20 11	21 00	22 02	0 11	65	S 51.5	S 51.5	−65
16	W	2 20	3 21	4 11	4 49	12 10	19 30	20 08	20 58	21 58	0 10	66	S 51.2	S 51.2	−66
17	T	2 23	3 23	4 13	4 51	12 10	19 28	20 06	20 55	21 54	0 10	66	S 50.9	S 50.9	−67
18	F	2 26	3 26	4 15	4 53	12 10	19 26	20 04	20 52	21 51	0 10	67	S 50.6	S 50.6	−67
19	S	2 30	3 28	4 16	4 54	12 10	19 24	20 01	20 50	21 47	0 10	67	S 50.3	S 50.3	−68
20	S	2 33	3 30	4 18	4 56	12 09	19 22	19 59	20 47	21 44	0 10	68	S 49.9	S 49.9	−68
21	M	2 36	3 32	4 20	4 58	12 09	19 19	19 57	20 44	21 40	0 09	68	S 49.6	S 49.6	−69
22	T	2 39	3 35	4 22	4 59	12 09	19 17	19 54	20 42	21 37	0 09	69	S 49.3	S 49.3	−69
23	W	2 42	3 37	4 24	5 01	12 09	19 15	19 52	20 39	21 33	0 09	70	S 48.9	S 48.9	−70
24	T	2 45	3 39	4 26	5 03	12 08	19 13	19 50	20 36	21 30	0 09	70	S 48.6	S 48.6	−71
25	F	2 48	3 41	4 28	5 04	12 08	19 11	19 47	20 33	21 26	0 08	71	S 48.2	S 48.3	−71
26	S	2 50	3 43	4 29	5 06	12 08	19 08	19 45	20 31	21 23	0 08	71	S 47.9	S 47.9	−72
27	S	2 53	3 45	4 31	5 08	12 08	19 06	19 43	20 28	21 20	0 08	72	S 47.5	S 47.6	−72
28	M	2 56	3 48	4 33	5 09	12 07	19 04	19 40	20 25	21 16	0 07	73	S 47.2	S 47.2	−73
29	T	2 59	3 50	4 35	5 11	12 07	19 02	19 38	20 23	21 13	0 07	73	S 46.8	S 46.9	−74
30	W	3 01	3 52	4 37	5 13	12 07	18 59	19 35	20 20	21 10	0 07	74	S 46.5	S 46.5	−74
31	T	3 04	3 54	4 38	5 14	12 06	18 57	19 33	20 17	21 07	0 07	74	S 46.1	S 46.1	−75
September
1	F	3 06	3 56	4 40	5 16	12 06	18 55	19 31	20 14	21 03	0 06	75	S 45.8	S 45.8	−75
2	S	3 09	3 58	4 42	5 18	12 06	18 53	19 28	20 12	21 00	0 06	76	S 45.4	S 45.4	−76
3	S	3 11	4 00	4 44	5 19	12 05	18 50	19 26	20 09	20 57	0 06	76	S 45.0	S 45.0	−77
4	M	3 14	4 02	4 46	5 21	12 05	18 48	19 23	20 06	20 54	0 05	77	S 44.7	S 44.7	−77
5	T	3 16	4 04	4 47	5 23	12 05	18 46	19 21	20 04	20 51	0 05	77	S 44.3	S 44.3	−78
6	W	3 19	4 06	4 49	5 24	12 04	18 43	19 18	20 01	20 48	0 05	78	S 43.9	S 43.9	−78
7	T	3 21	4 08	4 51	5 26	12 04	18 41	19 16	19 59	20 45	0 04	79	S 43.5	S 43.6	−79
8	F	3 24	4 10	4 53	5 28	12 04	18 39	19 13	19 56	20 42	0 04	79	S 43.2	S 43.2	−80
9	S	3 26	4 12	4 54	5 29	12 03	18 36	19 11	19 53	20 39	0 04	80	S 42.8	S 42.8	−80
10	S	3 28	4 14	4 56	5 31	12 03	18 34	19 09	19 51	20 36	0 03	81	S 42.4	S 42.4	−81
11	M	3 31	4 16	4 58	5 33	12 03	18 31	19 06	19 48	20 33	0 03	81	S 42.0	S 42.1	−82
12	T	3 33	4 18	5 00	5 34	12 02	18 29	19 04	19 45	20 30	0 02	82	S 41.7	S 41.7	−82
13	W	3 35	4 20	5 01	5 36	12 02	18 27	19 01	19 43	20 27	0 02	82	S 41.3	S 41.3	−83
14	T	3 37	4 22	5 03	5 38	12 02	18 24	18 59	19 40	20 24	0 02	83	S 40.9	S 40.9	−83
15	F	3 39	4 24	5 05	5 39	12 01	18 22	18 56	19 38	20 21	0 01	84	S 40.5	S 40.5	−84
16	S	3 42	4 25	5 07	5 41	12 01	18 20	18 54	19 35	20 19	0 01	84	S 40.1	S 40.1	−85
17	S	3 44	4 27	5 08	5 43	12 01	18 17	18 51	19 32	20 16	0 01	85	S 39.7	S 39.8	−85
18	M	3 46	4 29	5 10	5 44	12 00	18 15	18 49	19 30	20 13	0 00	86	S 39.3	S 39.4	−86
19	T	3 48	4 31	5 12	5 46	12 00	18 12	18 47	19 27	20 10	0 00	86	S 39.0	S 39.0	−87
20	W{	3 50	4 33	5 14	5 48	11 59	18 10	18 44	19 25	20 07	0 00	87	S 38.6	S 38.6	−87
20	W{										23 59
21	T	3 52	4 35	5 15	5 50	11 59	18 08	18 42	19 22	20 05	23 59	88	S 38.2	S 38.2	−88
22	F	3 54	4 37	5 17	5 51	11 59	18 05	18 39	19 20	20 02	23 59	88	S 37.8	S 37.8	−89
23	S	3 56	4 38	5 19	5 53	11 58	18 03	18 37	19 17	19 59	23 58	89	S 37.4	S 37.4	−89
24	S	3 58	4 40	5 20	5 55	11 58	18 01	18 35	19 15	19 57	23 58	90	S 37.0	S 37.1	−90
25	M	4 00	4 42	5 22	5 56	11 58	17 58	18 32	19 12	19 54	23 58	90	S 36.6	S 36.7	−90
26	T	4 02	4 44	5 24	5 58	11 57	17 56	18 30	19 10	19 51	23 57	91	S 36.3	S 36.3	−91
27	W	4 04	4 46	5 26	6 00	11 57	17 53	18 27	19 07	19 49	23 57	91	S 35.9	S 35.9	−92
28	T	4 06	4 47	5 27	6 01	11 57	17 51	18 25	19 05	19 46	23 57	92	S 35.5	S 35.5	−92
29	F	4 08	4 49	5 29	6 03	11 56	17 49	18 23	19 02	19 43	23 56	93	S 35.1	S 35.1	−93
30	S	4 10	4 51	5 31	6 05	11 56	17 46	18 20	19 00	19 41	23 56	93	S 34.7	S 34.7	−94
October
1	S	4 12	4 53	5 32	6 06	11 56	17 44	18 18	18 58	19 38	23 56	94	S 34.3	S 34.3	−94
2	M	4 14	4 54	5 34	6 08	11 55	17 42	18 16	18 55	19 36	23 55	95	S 33.9	S 33.9	−95
3	T	4 15	4 56	5 36	6 10	11 55	17 39	18 13	18 53	19 33	23 55	95	S 33.5	S 33.6	−96
4	W	4 17	4 58	5 37	6 12	11 55	17 37	18 11	18 51	19 31	23 55	96	S 33.2	S 33.2	−96
5	T	4 19	5 00	5 39	6 13	11 54	17 35	18 09	18 48	19 28	23 54	97	S 32.8	S 32.8	−97
6	F	4 21	5 01	5 41	6 15	11 54	17 32	18 06	18 46	19 26	23 54	97	S 32.4	S 32.4	−97
7	S	4 23	5 03	5 43	6 17	11 54	17 30	18 04	18 44	19 24	23 54	98	S 32.0	S 32.0	−98
8	S	4 25	5 05	5 44	6 18	11 54	17 28	18 02	18 41	19 21	23 53	98	S 31.6	S 31.6	−99
9	M	4 26	5 06	5 46	6 20	11 53	17 25	18 00	18 39	19 19	23 53	99	S 31.2	S 31.3	−99
10	T	4 28	5 08	5 48	6 22	11 53	17 23	17 57	18 37	19 17	23 53	100	S 30.9	S 30.9	−100
11	W	4 30	5 10	5 49	6 24	11 53	17 21	17 55	18 35	19 14	23 53	100	S 30.5	S 30.5	−101
12	T	4 32	5 12	5 51	6 25	11 52	17 19	17 53	18 32	19 12	23 52	101	S 30.1	S 30.1	−101
13	F	4 33	5 13	5 53	6 27	11 52	17 16	17 51	18 30	19 10	23 52	102	S 29.7	S 29.8	−102
14	S	4 35	5 15	5 55	6 29	11 52	17 14	17 49	18 28	19 08	23 52	102	S 29.4	S 29.4	−102
15	S	4 37	5 17	5 56	6 31	11 52	17 12	17 46	18 26	19 05	23 52	103	S 29.0	S 29.0	−103
16	M	4 39	5 18	5 58	6 33	11 52	17 10	17 44	18 24	19 03	23 51	103	S 28.6	S 28.6	−104
17	T	4 40	5 20	6 00	6 34	11 51	17 08	17 42	18 22	19 01	23 51	104	S 28.2	S 28.3	−104
18	W	4 42	5 22	6 01	6 36	11 51	17 05	17 40	18 19	18 59	23 51	105	S 27.9	S 27.9	−105
19	T	4 44	5 23	6 03	6 38	11 51	17 03	17 38	18 17	18 57	23 51	105	S 27.5	S 27.6	−106
20	F	4 46	5 25	6 05	6 40	11 51	17 01	17 36	18 15	18 55	23 51	106	S 27.2	S 27.2	−106
21	S	4 47	5 27	6 07	6 41	11 51	16 59	17 34	18 13	18 53	23 51	106	S 26.8	S 26.8	−107
22	S	4 49	5 29	6 08	6 43	11 50	16 57	17 32	18 11	18 51	23 50	107	S 26.4	S 26.5	−107
23	M	4 51	5 30	6 10	6 45	11 50	16 55	17 30	18 09	18 49	23 50	108	S 26.1	S 26.1	−108
24	T	4 52	5 32	6 12	6 47	11 50	16 53	17 28	18 08	18 47	23 50	108	S 25.7	S 25.8	−109
25	W	4 54	5 34	6 13	6 49	11 50	16 51	17 26	18 06	18 45	23 50	109	S 25.4	S 25.4	−109
26	T	4 56	5 35	6 15	6 51	11 50	16 49	17 24	18 04	18 43	23 50	109	S 25.1	S 25.1	−110
27	F	4 57	5 37	6 17	6 52	11 50	16 47	17 22	18 02	18 41	23 50	110	S 24.7	S 24.8	−110
28	S	4 59	5 39	6 19	6 54	11 50	16 45	17 20	18 00	18 40	23 50	111	S 24.4	S 24.4	−111
29	S	5 01	5 40	6 20	6 56	11 50	16 43	17 18	17 58	18 38	23 50	111	S 24.0	S 24.1	−111
30	M	5 02	5 42	6 22	6 58	11 50	16 41	17 16	17 57	18 36	23 50	112	S 23.7	S 23.8	−112
31	T	5 04	5 43	6 24	7 00	11 50	16 39	17 15	17 55	18 34	23 50	112	S 23.4	S 23.4	−113
November
1	W	5 05	5 45	6 25	7 02	11 50	16 37	17 13	17 53	18 33	23 50	113	S 23.1	S 23.1	−113
2	T	5 07	5 47	6 27	7 03	11 50	16 35	17 11	17 51	18 31	23 49	113	S 22.8	S 22.8	−114
3	F	5 09	5 48	6 29	7 05	11 49	16 33	17 09	17 50	18 29	23 49	114	S 22.4	S 22.5	−114
4	S	5 10	5 50	6 31	7 07	11 50	16 31	17 08	17 48	18 28	23 50	114	S 22.1	S 22.2	−115
5	S	5 12	5 52	6 32	7 09	11 50	16 29	17 06	17 47	18 26	23 50	115	S 21.8	S 21.9	−115
6	M	5 13	5 53	6 34	7 11	11 50	16 28	17 04	17 45	18 25	23 50	116	S 21.5	S 21.6	−116
7	T	5 15	5 55	6 36	7 13	11 50	16 26	17 03	17 44	18 23	23 50	116	S 21.2	S 21.3	−116
8	W	5 17	5 56	6 37	7 14	11 50	16 24	17 01	17 42	18 22	23 50	117	S 20.9	S 21.0	−117
9	T	5 18	5 58	6 39	7 16	11 50	16 23	17 00	17 41	18 21	23 50	117	S 20.6	S 20.7	−117
10	F	5 20	6 00	6 41	7 18	11 50	16 21	16 58	17 39	18 19	23 50	118	S 20.4	S 20.4	−118
11	S	5 21	6 01	6 43	7 20	11 50	16 19	16 57	17 38	18 18	23 50	118	S 20.1	S 20.1	−118
12	S	5 23	6 03	6 44	7 22	11 50	16 18	16 55	17 37	18 17	23 50	119	S 19.8	S 19.9	−119
13	M	5 24	6 04	6 46	7 23	11 50	16 16	16 54	17 35	18 15	23 50	119	S 19.5	S 19.6	−119
14	T	5 26	6 06	6 47	7 25	11 50	16 15	16 53	17 34	18 14	23 50	120	S 19.3	S 19.3	−120
15	W	5 27	6 07	6 49	7 27	11 50	16 13	16 51	17 33	18 13	23 51	120	S 19.0	S 19.1	−120
16	T	5 29	6 09	6 51	7 29	11 51	16 12	16 50	17 32	18 12	23 51	120	S 18.8	S 18.8	−121
17	F	5 30	6 10	6 52	7 31	11 51	16 10	16 49	17 31	18 11	23 51	121	S 18.5	S 18.6	−121
18	S	5 32	6 12	6 54	7 32	11 51	16 09	16 48	17 30	18 10	23 51	121	S 18.3	S 18.3	−122
19	S	5 33	6 13	6 56	7 34	11 51	16 08	16 46	17 28	18 09	23 51	122	S 18.0	S 18.1	−122
20	M	5 34	6 15	6 57	7 36	11 51	16 07	16 45	17 27	18 08	23 52	122	S 17.8	S 17.9	−122
21	T	5 36	6 16	6 59	7 38	11 52	16 05	16 44	17 27	18 07	23 52	123	S 17.6	S 17.6	−123
22	W	5 37	6 18	7 00	7 39	11 52	16 04	16 43	17 26	18 06	23 52	123	S 17.4	S 17.4	−123
23	T	5 39	6 19	7 02	7 41	11 52	16 03	16 42	17 25	18 05	23 52	123	S 17.2	S 17.2	−124
24	F	5 40	6 21	7 03	7 43	11 53	16 02	16 41	17 24	18 05	23 53	124	S 16.9	S 17.0	−124
25	S	5 41	6 22	7 05	7 44	11 53	16 01	16 40	17 23	18 04	23 53	124	S 16.7	S 16.8	−124
26	S	5 43	6 23	7 06	7 46	11 53	16 00	16 40	17 22	18 03	23 53	125	S 16.6	S 16.6	−125
27	M	5 44	6 25	7 08	7 47	11 53	15 59	16 39	17 22	18 03	23 54	125	S 16.4	S 16.4	−125
28	T	5 45	6 26	7 09	7 49	11 54	15 58	16 38	17 21	18 02	23 54	125	S 16.2	S 16.2	−125
29	W	5 46	6 27	7 10	7 51	11 54	15 57	16 37	17 20	18 02	23 54	126	S 16.0	S 16.1	−126
30	T	5 48	6 29	7 12	7 52	11 54	15 57	16 37	17 20	18 01	23 55	126	S 15.9	S 15.9	−126
December
1	F	5 49	6 30	7 13	7 53	11 55	15 56	16 36	17 19	18 01	23 55	126	S 15.7	S 15.7	−126
2	S	5 50	6 31	7 15	7 55	11 55	15 55	16 36	17 19	18 00	23 55	126	S 15.5	S 15.6	−127
3	S	5 51	6 32	7 16	7 56	11 56	15 55	16 35	17 19	18 00	23 56	127	S 15.4	S 15.5	−127
4	M	5 52	6 33	7 17	7 58	11 56	15 54	16 35	17 18	18 00	23 56	127	S 15.3	S 15.3	−127
5	T	5 53	6 35	7 18	7 59	11 56	15 54	16 34	17 18	17 59	23 57	127	S 15.1	S 15.2	−127
6	W	5 54	6 36	7 19	8 00	11 57	15 53	16 34	17 18	17 59	23 57	128	S 15.0	S 15.1	−128
7	T	5 55	6 37	7 21	8 02	11 57	15 53	16 34	17 17	17 59	23 57	128	S 14.9	S 14.9	−128
8	F	5 56	6 38	7 22	8 03	11 58	15 52	16 33	17 17	17 59	23 58	128	S 14.8	S 14.8	−128
9	S	5 57	6 39	7 23	8 04	11 58	15 52	16 33	17 17	17 59	23 58	128	S 14.7	S 14.7	−128
10	S	5 58	6 40	7 24	8 05	11 59	15 52	16 33	17 17	17 59	23 59	128	S 14.6	S 14.6	−128
11	M	5 59	6 41	7 25	8 06	11 59	15 52	16 33	17 17	17 59	23 59	129	S 14.5	S 14.6	−129
12	T	6 00	6 42	7 26	8 07	11 59	15 52	16 33	17 17	17 59		129	S 14.4	S 14.5	−129
13	W	6 01	6 43	7 27	8 08	12 00	15 52	16 33	17 17	17 59	0 00	129	S 14.3	S 14.4	−129
14	T	6 02	6 43	7 28	8 09	12 00	15 52	16 33	17 17	17 59	0 00	129	S 14.3	S 14.3	−129
15	F	6 03	6 44	7 29	8 10	12 01	15 52	16 33	17 17	17 59	0 01	129	S 14.2	S 14.3	−129
16	S	6 03	6 45	7 29	8 11	12 01	15 52	16 33	17 18	17 59	0 01	129	S 14.2	S 14.2	−129
17	S	6 04	6 46	7 30	8 12	12 02	15 52	16 34	17 18	18 00	0 02	129	S 14.1	S 14.2	−129
18	M	6 05	6 46	7 31	8 12	12 02	15 52	16 34	17 18	18 00	0 02	129	S 14.1	S 14.2	−129
19	T	6 05	6 47	7 31	8 13	12 03	15 53	16 34	17 19	18 00	0 03	129	S 14.1	S 14.1	−129
20	W	6 06	6 48	7 32	8 14	12 03	15 53	16 35	17 19	18 01	0 03	129	S 14.1	S 14.1	−129
21	T	6 06	6 48	7 33	8 14	12 04	15 53	16 35	17 19	18 01	0 04	129	S 14.0	S 14.1	−129
22	F	6 07	6 49	7 33	8 15	12 04	15 54	16 36	17 20	18 02	0 04	129	S 14.0	S 14.1	−129
23	S	6 07	6 49	7 34	8 15	12 05	15 54	16 36	17 20	18 02	0 05	129	S 14.1	S 14.1	−129
24	S	6 08	6 50	7 34	8 16	12 05	15 55	16 37	17 21	18 03	0 05	129	S 14.1	S 14.1	−129
25	M	6 08	6 50	7 34	8 16	12 06	15 56	16 37	17 22	18 04	0 06	129	S 14.1	S 14.2	−129
26	T	6 09	6 50	7 35	8 16	12 06	15 56	16 38	17 22	18 04	0 06	129	S 14.1	S 14.2	−129
27	W	6 09	6 51	7 35	8 17	12 07	15 57	16 39	17 23	18 05	0 07	129	S 14.2	S 14.2	−129
28	T	6 09	6 51	7 35	8 17	12 07	15 58	16 40	17 24	18 06	0 07	129	S 14.2	S 14.3	−129
29	F	6 09	6 51	7 35	8 17	12 08	15 59	16 40	17 25	18 06	0 08	129	S 14.3	S 14.3	−129
30	S	6 10	6 51	7 35	8 17	12 08	16 00	16 41	17 26	18 07	0 08	129	S 14.3	S 14.4	−129
31	S	6 10	6 51	7 36	8 17	12 09	16 01	16 42	17 26	18 08	0 09	129	S 14.4	S 14.4	−129

Explanations

Made after directions given by Jean Meeus: Astronomical Algorithms (1998)

Position: 52° 31′ 00″ N 13° 23′ 20″ E

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The times are given in hours and minutes. Example: The time 9 14 means 9 hours and 14 minutes.
The times of risings and settings refer to the upper limb of the Sun in the horizon
Astronomical twilight is when the centre of the Sun is between 12 and 18 degrees below the horizon
Nautical twilight is when the centre of the Sun is between 6 and 12 degrees below the horizon
Civil twilight is when the upper limb of the Sun is below the horizon, but the centre of the Sun is less than 6 degrees below the horizon
** means midnight Sun (the upper limb of the Sun is above the horizon)
**** means midnight Sun (the entire Sun is above the horizon)
−− means polar night
(11 00) means that the Sun rises or sets at 11:00, but the centre of the Sun does not ascend above the horizon
//// means that the twilight lasts all night
== means that the Sun is continuously below the limit of twilight
During the polar night, the altitude of the Sun at transit is shown in the sunset column. This altitude is not corrected for atmospheric refraction.
At latitudes higher than 48.6 degrees, there is a period in the summer when the Sun is less than 18 degrees below the horizon at solar midnight. This period is called grey nights.
- This is marked with //// in the column showing when the astronomical twilight begins, and a decimal number in the column showing when the astronomical twilight ends. This number is the altitude of the Sun in degrees at lower transit, and gives an indication of the degree of light or darkness at night. The altitude is not corrected for refraction, i.e. at the horizon, the centre of the Sun is 34 arcminutes higher than shown in the table. One degree is 60 arcminutes, so 34 arcminutes = 0.5667° (not 0.8°, as we earlier have stated). We choose not to correct this number for refraction because the definitions of civil, nautical and astronomical twilihgts depend on the true altitude of the Sun, not corrected for refraction.
- In the period of midnight Sun, there is a decimal number in the sunset column. This is the apparent altitude of the centre of the Sun at lower transit (at true solar midnight), and this number is corrected for refraction.
- The higher the altitude of the Sun, the less difference between the true altitude and the apparent altitude, and the difference is zero at the zenith (directly overhead).
The four rightmost columns are labelled Azimuth, True altitude, App. altitude and Azimuth, as shown here:

Sun
Azimuth	True altitude	App. altitude	Azimuth
138	S 7.6	S 7.7	−137

This example means that at sunrise, the compass direction of the Sun is 138 degrees (approximately southeast).
At transit (true solar noon), the true altitude of the centre of the Sun is 7.6 degrees. The letter N or S specifies whether the Sun at this time is above (or below if polar night) the horizon in the north or the south, respectively. The Sun transits in the north for a part of the year in the tropics, and the entire year south of the tropics. The apparent altitude (corrected for refraction) at transit is 7.7. degrees.
At sunset, the compass direction of the Sun is −137 degrees. The direction −137 degrees is the same as +223 degrees because 360° − 137° = +223°.
We prefer using compass directions from −180° to +180°, as shown in the following table.

Degrees	Direction
0	North
+90	East
±180	South
−90	West