Sunrise, sunset and twilights in Frankfurt in 2024

Frankfurt, Germany

This table is for the year 2024. See also table for 2023. There are also tables of daylength in Frankfurt 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	M	6 25	7 04	7 46	8 24	12 28	16 33	17 11	17 52	18 32	0 28	126	S 16.9	S 16.9	−126
2	T	6 25	7 04	7 46	8 24	12 29	16 34	17 12	17 53	18 33	0 28	126	S 16.9	S 17.0	−126
3	W	6 25	7 04	7 45	8 24	12 29	16 35	17 13	17 54	18 34	0 29	126	S 17.0	S 17.1	−126
4	T	6 25	7 04	7 45	8 23	12 29	16 36	17 14	17 55	18 35	0 29	126	S 17.1	S 17.2	−126
5	F	6 25	7 04	7 45	8 23	12 30	16 37	17 15	17 56	18 35	0 30	126	S 17.2	S 17.3	−126
6	S	6 25	7 04	7 45	8 23	12 30	16 38	17 16	17 57	18 36	0 30	125	S 17.4	S 17.4	−125
7	S	6 24	7 04	7 45	8 23	12 31	16 39	17 17	17 58	18 37	0 31	125	S 17.5	S 17.5	−125
8	M	6 24	7 03	7 45	8 22	12 31	16 40	17 18	17 59	18 39	0 31	125	S 17.6	S 17.7	−125
9	T	6 24	7 03	7 44	8 22	12 32	16 42	17 19	18 00	18 40	0 31	125	S 17.7	S 17.8	−125
10	W	6 24	7 03	7 44	8 21	12 32	16 43	17 21	18 02	18 41	0 32	125	S 17.9	S 17.9	−124
11	T	6 23	7 03	7 43	8 21	12 32	16 44	17 22	18 03	18 42	0 32	124	S 18.0	S 18.1	−124
12	F	6 23	7 02	7 43	8 20	12 33	16 46	17 23	18 04	18 43	0 33	124	S 18.2	S 18.3	−124
13	S	6 23	7 02	7 42	8 20	12 33	16 47	17 24	18 05	18 44	0 33	124	S 18.4	S 18.4	−124
14	S	6 22	7 01	7 42	8 19	12 34	16 49	17 26	18 06	18 45	0 33	123	S 18.5	S 18.6	−123
15	M	6 22	7 01	7 41	8 18	12 34	16 50	17 27	18 08	18 47	0 34	123	S 18.7	S 18.8	−123
16	T	6 21	7 00	7 41	8 18	12 34	16 52	17 29	18 09	18 48	0 34	123	S 18.9	S 19.0	−123
17	W	6 21	7 00	7 40	8 17	12 35	16 53	17 30	18 10	18 49	0 35	122	S 19.1	S 19.1	−122
18	T	6 20	6 59	7 39	8 16	12 35	16 55	17 31	18 12	18 50	0 35	122	S 19.3	S 19.3	−122
19	F	6 20	6 58	7 38	8 15	12 35	16 56	17 33	18 13	18 52	0 35	122	S 19.5	S 19.5	−122
20	S	6 19	6 57	7 38	8 14	12 36	16 58	17 34	18 14	18 53	0 35	121	S 19.7	S 19.8	−121
21	S	6 18	6 57	7 37	8 13	12 36	16 59	17 36	18 16	18 54	0 36	121	S 19.9	S 20.0	−121
22	M	6 17	6 56	7 36	8 12	12 36	17 01	17 37	18 17	18 56	0 36	121	S 20.2	S 20.2	−121
23	T	6 17	6 55	7 35	8 11	12 36	17 03	17 39	18 18	18 57	0 36	120	S 20.4	S 20.4	−120
24	W	6 16	6 54	7 34	8 10	12 37	17 04	17 40	18 20	18 58	0 37	120	S 20.6	S 20.7	−120
25	T	6 15	6 53	7 33	8 09	12 37	17 06	17 42	18 21	19 00	0 37	119	S 20.9	S 20.9	−119
26	F	6 14	6 52	7 32	8 07	12 37	17 07	17 43	18 23	19 01	0 37	119	S 21.1	S 21.2	−119
27	S	6 13	6 51	7 31	8 06	12 37	17 09	17 45	18 24	19 02	0 37	119	S 21.4	S 21.4	−118
28	S	6 12	6 50	7 29	8 05	12 38	17 11	17 46	18 26	19 04	0 37	118	S 21.6	S 21.7	−118
29	M	6 11	6 49	7 28	8 04	12 38	17 12	17 48	18 27	19 05	0 38	118	S 21.9	S 21.9	−118
30	T	6 10	6 48	7 27	8 02	12 38	17 14	17 50	18 29	19 07	0 38	117	S 22.2	S 22.2	−117
31	W	6 09	6 47	7 26	8 01	12 38	17 16	17 51	18 30	19 08	0 38	117	S 22.4	S 22.5	−117
February
1	T	6 08	6 46	7 24	7 59	12 38	17 18	17 53	18 32	19 10	0 38	116	S 22.7	S 22.8	−116
2	F	6 06	6 44	7 23	7 58	12 38	17 19	17 54	18 33	19 11	0 38	116	S 23.0	S 23.0	−116
3	S	6 05	6 43	7 22	7 57	12 39	17 21	17 56	18 35	19 13	0 38	115	S 23.3	S 23.3	−115
4	S	6 04	6 42	7 20	7 55	12 39	17 23	17 57	18 36	19 14	0 39	115	S 23.6	S 23.6	−115
5	M	6 03	6 40	7 19	7 54	12 39	17 25	17 59	18 38	19 16	0 39	114	S 23.9	S 23.9	−114
6	T	6 01	6 39	7 17	7 52	12 39	17 26	18 01	18 39	19 17	0 39	114	S 24.2	S 24.2	−114
7	W	6 00	6 38	7 16	7 50	12 39	17 28	18 02	18 41	19 19	0 39	113	S 24.5	S 24.5	−113
8	T	5 59	6 36	7 14	7 49	12 39	17 30	18 04	18 42	19 20	0 39	113	S 24.8	S 24.9	−113
9	F	5 57	6 35	7 13	7 47	12 39	17 31	18 06	18 44	19 22	0 39	112	S 25.1	S 25.2	−112
10	S	5 56	6 33	7 11	7 45	12 39	17 33	18 07	18 46	19 23	0 39	112	S 25.5	S 25.5	−112
11	S	5 54	6 32	7 10	7 44	12 39	17 35	18 09	18 47	19 25	0 39	111	S 25.8	S 25.8	−111
12	M	5 53	6 30	7 08	7 42	12 39	17 37	18 10	18 49	19 26	0 39	111	S 26.1	S 26.1	−111
13	T	5 51	6 28	7 06	7 40	12 39	17 38	18 12	18 50	19 28	0 39	110	S 26.4	S 26.5	−110
14	W	5 49	6 27	7 05	7 38	12 39	17 40	18 14	18 52	19 29	0 39	110	S 26.8	S 26.8	−110
15	T	5 48	6 25	7 03	7 37	12 39	17 42	18 15	18 53	19 31	0 39	109	S 27.1	S 27.2	−109
16	F	5 46	6 24	7 01	7 35	12 39	17 44	18 17	18 55	19 32	0 39	109	S 27.5	S 27.5	−108
17	S	5 44	6 22	7 00	7 33	12 39	17 45	18 19	18 57	19 34	0 39	108	S 27.8	S 27.8	−108
18	S	5 43	6 20	6 58	7 31	12 39	17 47	18 20	18 58	19 36	0 39	108	S 28.2	S 28.2	−107
19	M	5 41	6 18	6 56	7 29	12 39	17 49	18 22	19 00	19 37	0 39	107	S 28.5	S 28.6	−107
20	T	5 39	6 17	6 54	7 27	12 39	17 51	18 24	19 01	19 39	0 39	106	S 28.9	S 28.9	−106
21	W	5 37	6 15	6 52	7 25	12 38	17 52	18 25	19 03	19 40	0 38	106	S 29.2	S 29.3	−106
22	T	5 36	6 13	6 51	7 23	12 38	17 54	18 27	19 05	19 42	0 38	105	S 29.6	S 29.6	−105
23	F	5 34	6 11	6 49	7 21	12 38	17 56	18 29	19 06	19 44	0 38	105	S 30.0	S 30.0	−104
24	S	5 32	6 09	6 47	7 20	12 38	17 57	18 30	19 08	19 45	0 38	104	S 30.3	S 30.4	−104
25	S	5 30	6 07	6 45	7 18	12 38	17 59	18 32	19 09	19 47	0 38	104	S 30.7	S 30.7	−103
26	M	5 28	6 05	6 43	7 16	12 38	18 01	18 33	19 11	19 49	0 38	103	S 31.1	S 31.1	−103
27	T	5 26	6 03	6 41	7 14	12 38	18 02	18 35	19 13	19 50	0 38	102	S 31.4	S 31.5	−102
28	W	5 24	6 02	6 39	7 11	12 37	18 04	18 37	19 14	19 52	0 37	102	S 31.8	S 31.9	−101
29	T	5 22	6 00	6 37	7 09	12 37	18 06	18 38	19 16	19 54	0 37	101	S 32.2	S 32.2	−101
March
1	F	5 20	5 58	6 35	7 07	12 37	18 07	18 40	19 17	19 55	0 37	101	S 32.6	S 32.6	−100
2	S	5 18	5 56	6 33	7 05	12 37	18 09	18 42	19 19	19 57	0 37	100	S 33.0	S 33.0	−100
3	S	5 16	5 53	6 31	7 03	12 37	18 11	18 43	19 21	19 59	0 37	99	S 33.4	S 33.4	−99
4	M	5 14	5 51	6 29	7 01	12 36	18 12	18 45	19 22	20 00	0 36	99	S 33.7	S 33.8	−98
5	T	5 11	5 49	6 27	6 59	12 36	18 14	18 46	19 24	20 02	0 36	98	S 34.1	S 34.1	−98
6	W	5 09	5 47	6 25	6 57	12 36	18 16	18 48	19 26	20 04	0 36	98	S 34.5	S 34.5	−97
7	T	5 07	5 45	6 23	6 55	12 36	18 17	18 50	19 27	20 05	0 36	97	S 34.9	S 34.9	−97
8	F	5 05	5 43	6 20	6 53	12 35	18 19	18 51	19 29	20 07	0 36	96	S 35.3	S 35.3	−96
9	S	5 03	5 41	6 18	6 51	12 35	18 21	18 53	19 31	20 09	0 35	96	S 35.7	S 35.7	−95
10	S	5 00	5 39	6 16	6 48	12 35	18 22	18 55	19 32	20 11	0 35	95	S 36.1	S 36.1	−95
11	M	4 58	5 37	6 14	6 46	12 35	18 24	18 56	19 34	20 12	0 35	94	S 36.5	S 36.5	−94
12	T	4 56	5 34	6 12	6 44	12 34	18 25	18 58	19 36	20 14	0 34	94	S 36.9	S 36.9	−94
13	W	4 54	5 32	6 10	6 42	12 34	18 27	18 59	19 37	20 16	0 34	93	S 37.3	S 37.3	−93
14	T	4 51	5 30	6 08	6 40	12 34	18 29	19 01	19 39	20 18	0 34	93	S 37.7	S 37.7	−92
15	F	4 49	5 28	6 05	6 38	12 34	18 30	19 03	19 41	20 19	0 34	92	S 38.0	S 38.1	−92
16	S	4 47	5 25	6 03	6 36	12 33	18 32	19 04	19 42	20 21	0 33	91	S 38.4	S 38.5	−91
17	S	4 44	5 23	6 01	6 33	12 33	18 34	19 06	19 44	20 23	0 33	91	S 38.8	S 38.9	−90
18	M	4 42	5 21	5 59	6 31	12 33	18 35	19 07	19 46	20 25	0 33	90	S 39.2	S 39.3	−90
19	T	4 39	5 19	5 57	6 29	12 32	18 37	19 09	19 47	20 27	0 33	90	S 39.6	S 39.6	−89
20	W	4 37	5 16	5 55	6 27	12 32	18 38	19 11	19 49	20 29	0 32	89	S 40.0	S 40.0	−89
21	T	4 34	5 14	5 52	6 25	12 32	18 40	19 12	19 51	20 31	0 32	88	S 40.4	S 40.4	−88
22	F	4 32	5 12	5 50	6 22	12 31	18 42	19 14	19 52	20 32	0 32	88	S 40.8	S 40.8	−87
23	S	4 29	5 09	5 48	6 20	12 31	18 43	19 16	19 54	20 34	0 31	87	S 41.2	S 41.2	−87
24	S	4 27	5 07	5 46	6 18	12 31	18 45	19 17	19 56	20 36	0 31	86	S 41.6	S 41.6	−86
25	M	4 24	5 05	5 43	6 16	12 31	18 46	19 19	19 58	20 38	0 31	86	S 42.0	S 42.0	−86
26	T	4 22	5 02	5 41	6 14	12 30	18 48	19 21	19 59	20 40	0 30	85	S 42.4	S 42.4	−85
27	W	4 19	5 00	5 39	6 11	12 30	18 50	19 22	20 01	20 42	0 30	85	S 42.8	S 42.8	−84
28	T	4 17	4 58	5 37	6 09	12 30	18 51	19 24	20 03	20 44	0 30	84	S 43.2	S 43.2	−84
29	F	4 14	4 55	5 34	6 07	12 29	18 53	19 25	20 05	20 46	0 30	83	S 43.6	S 43.6	−83
30	S	4 11	4 53	5 32	6 05	12 29	18 54	19 27	20 06	20 48	0 29	83	S 43.9	S 44.0	−82
31	S	4 09	4 51	5 30	6 03	12 29	18 56	19 29	20 08	20 50	0 29	82	S 44.3	S 44.3	−82
April
1	M	4 06	4 48	5 28	6 01	12 28	18 57	19 30	20 10	20 52	0 29	82	S 44.7	S 44.7	−81
2	T	4 04	4 46	5 25	5 58	12 28	18 59	19 32	20 12	20 54	0 28	81	S 45.1	S 45.1	−81
3	W	4 01	4 43	5 23	5 56	12 28	19 01	19 34	20 14	20 57	0 28	80	S 45.5	S 45.5	−80
4	T	3 58	4 41	5 21	5 54	12 28	19 02	19 35	20 16	20 59	0 28	80	S 45.9	S 45.9	−79
5	F	3 56	4 39	5 19	5 52	12 27	19 04	19 37	20 17	21 01	0 27	79	S 46.2	S 46.3	−79
6	S	3 53	4 36	5 17	5 50	12 27	19 05	19 39	20 19	21 03	0 27	79	S 46.6	S 46.6	−78
7	S	3 50	4 34	5 14	5 48	12 27	19 07	19 40	20 21	21 05	0 27	78	S 47.0	S 47.0	−78
8	M	3 47	4 31	5 12	5 46	12 26	19 08	19 42	20 23	21 07	0 27	77	S 47.4	S 47.4	−77
9	T	3 45	4 29	5 10	5 43	12 26	19 10	19 44	20 25	21 10	0 26	77	S 47.7	S 47.8	−77
10	W	3 42	4 27	5 08	5 41	12 26	19 12	19 45	20 27	21 12	0 26	76	S 48.1	S 48.1	−76
11	T	3 39	4 24	5 05	5 39	12 26	19 13	19 47	20 29	21 14	0 26	76	S 48.5	S 48.5	−75
12	F	3 36	4 22	5 03	5 37	12 25	19 15	19 49	20 31	21 17	0 26	75	S 48.8	S 48.9	−75
13	S	3 33	4 19	5 01	5 35	12 25	19 16	19 51	20 33	21 19	0 25	75	S 49.2	S 49.2	−74
14	S	3 31	4 17	4 59	5 33	12 25	19 18	19 52	20 34	21 21	0 25	74	S 49.6	S 49.6	−74
15	M	3 28	4 14	4 57	5 31	12 25	19 19	19 54	20 36	21 24	0 25	73	S 49.9	S 49.9	−73
16	T	3 25	4 12	4 55	5 29	12 24	19 21	19 56	20 38	21 26	0 25	73	S 50.3	S 50.3	−72
17	W	3 22	4 10	4 52	5 27	12 24	19 23	19 57	20 40	21 29	0 24	72	S 50.6	S 50.6	−72
18	T	3 19	4 07	4 50	5 25	12 24	19 24	19 59	20 42	21 31	0 24	72	S 51.0	S 51.0	−71
19	F	3 16	4 05	4 48	5 23	12 24	19 26	20 01	20 44	21 34	0 24	71	S 51.3	S 51.3	−71
20	S	3 13	4 02	4 46	5 21	12 24	19 27	20 02	20 46	21 36	0 24	71	S 51.7	S 51.7	−70
21	S	3 10	4 00	4 44	5 19	12 23	19 29	20 04	20 48	21 39	0 23	70	S 52.0	S 52.0	−70
22	M	3 07	3 58	4 42	5 17	12 23	19 30	20 06	20 50	21 41	0 23	69	S 52.3	S 52.3	−69
23	T	3 04	3 55	4 40	5 15	12 23	19 32	20 08	20 52	21 44	0 23	69	S 52.7	S 52.7	−69
24	W	3 01	3 53	4 38	5 13	12 23	19 34	20 09	20 54	21 47	0 23	68	S 53.0	S 53.0	−68
25	T	2 58	3 50	4 35	5 11	12 23	19 35	20 11	20 56	21 49	0 23	68	S 53.3	S 53.3	−68
26	F	2 55	3 48	4 33	5 09	12 22	19 37	20 13	20 59	21 52	0 23	67	S 53.6	S 53.7	−67
27	S	2 52	3 46	4 31	5 07	12 22	19 38	20 15	21 01	21 55	0 22	67	S 54.0	S 54.0	−66
28	S	2 49	3 43	4 29	5 06	12 22	19 40	20 16	21 03	21 58	0 22	66	S 54.3	S 54.3	−66
29	M	2 46	3 41	4 27	5 04	12 22	19 41	20 18	21 05	22 00	0 22	66	S 54.6	S 54.6	−65
30	T	2 43	3 39	4 25	5 02	12 22	19 43	20 20	21 07	22 03	0 22	65	S 54.9	S 54.9	−65
May
1	W	2 40	3 36	4 23	5 00	12 22	19 45	20 21	21 09	22 06	0 22	65	S 55.2	S 55.2	−64
2	T	2 37	3 34	4 21	4 58	12 22	19 46	20 23	21 11	22 09	0 22	64	S 55.5	S 55.5	−64
3	F	2 34	3 32	4 19	4 57	12 22	19 48	20 25	21 13	22 12	0 22	64	S 55.8	S 55.8	−63
4	S	2 30	3 29	4 18	4 55	12 22	19 49	20 27	21 15	22 15	0 22	63	S 56.1	S 56.1	−63
5	S	2 27	3 27	4 16	4 53	12 21	19 51	20 28	21 17	22 18	0 21	63	S 56.4	S 56.4	−62
6	M	2 24	3 25	4 14	4 52	12 21	19 52	20 30	21 19	22 21	0 21	62	S 56.6	S 56.6	−62
7	T	2 21	3 23	4 12	4 50	12 21	19 54	20 32	21 22	22 25	0 21	62	S 56.9	S 56.9	−62
8	W	2 17	3 20	4 10	4 48	12 21	19 55	20 33	21 24	22 28	0 21	61	S 57.2	S 57.2	−61
9	T	2 14	3 18	4 08	4 47	12 21	19 57	20 35	21 26	22 31	0 21	61	S 57.4	S 57.5	−61
10	F	2 11	3 16	4 07	4 45	12 21	19 58	20 37	21 28	22 35	0 21	60	S 57.7	S 57.7	−60
11	S	2 07	3 14	4 05	4 44	12 21	20 00	20 39	21 30	22 38	0 21	60	S 58.0	S 58.0	−60
12	S	2 04	3 12	4 03	4 42	12 21	20 01	20 40	21 32	22 41	0 21	60	S 58.2	S 58.2	−59
13	M	2 00	3 10	4 02	4 41	12 21	20 02	20 42	21 34	22 45	0 21	59	S 58.5	S 58.5	−59
14	T	1 57	3 07	4 00	4 39	12 21	20 04	20 43	21 36	22 49	0 21	59	S 58.7	S 58.7	−59
15	W	1 53	3 05	3 58	4 38	12 21	20 05	20 45	21 38	22 52	0 21	58	S 58.9	S 58.9	−58
16	T	1 50	3 03	3 57	4 37	12 21	20 07	20 47	21 41	22 56	0 21	58	S 59.2	S 59.2	−58
17	F	1 46	3 01	3 55	4 35	12 21	20 08	20 48	21 43	23 00	0 21	58	S 59.4	S 59.4	−57
18	S	1 42	2 59	3 54	4 34	12 21	20 09	20 50	21 45	23 04	0 21	57	S 59.6	S 59.6	−57
19	S	1 38	2 57	3 52	4 33	12 21	20 11	20 51	21 47	23 08	0 21	57	S 59.8	S 59.8	−57
20	M	1 34	2 56	3 51	4 31	12 21	20 12	20 53	21 49	23 12	0 21	56	S 60.0	S 60.0	−56
21	T	1 30	2 54	3 49	4 30	12 21	20 13	20 54	21 51	23 16	0 21	56	S 60.2	S 60.2	−56
22	W	1 26	2 52	3 48	4 29	12 21	20 15	20 56	21 53	23 21	0 21	56	S 60.4	S 60.4	−56
23	T	1 22	2 50	3 47	4 28	12 22	20 16	20 57	21 55	23 26	0 22	55	S 60.6	S 60.6	−55
24	F	1 17	2 48	3 45	4 27	12 22	20 17	20 59	21 57	23 31	0 22	55	S 60.8	S 60.8	−55
25	S	1 12	2 46	3 44	4 26	12 22	20 18	21 00	21 58	23 36	0 22	55	S 61.0	S 61.0	−55
26	S	1 07	2 45	3 43	4 25	12 22	20 20	21 02	22 00	23 42	0 22	54	S 61.1	S 61.1	−54
27	M	1 02	2 43	3 42	4 24	12 22	20 21	21 03	22 02	23 48	0 22	54	S 61.3	S 61.3	−54
28	T	0 55	2 42	3 41	4 23	12 22	20 22	21 04	22 04	23 56	0 22	54	S 61.5	S 61.5	−54
29	W	0 48	2 40	3 40	4 22	12 22	20 23	21 06	22 06		0 22	54	S 61.6	S 61.6	−53
30	T	0 37	2 39	3 39	4 21	12 22	20 24	21 07	22 07	0 07	0 22	53	S 61.8	S 61.8	−53
31	F	////	2 37	3 38	4 21	12 23	20 25	21 08	22 09	−17.9	0 22	53	S 61.9	S 61.9	−53
June
1	S	////	2 36	3 37	4 20	12 23	20 26	21 09	22 11	−17.8	0 23	53	S 62.0	S 62.0	−53
2	S	////	2 34	3 36	4 19	12 23	20 27	21 10	22 12	−17.7	0 23	53	S 62.2	S 62.2	−52
3	M	////	2 33	3 35	4 18	12 23	20 28	21 12	22 14	−17.5	0 23	52	S 62.3	S 62.3	−52
4	T	////	2 32	3 34	4 18	12 23	20 29	21 13	22 15	−17.4	0 23	52	S 62.4	S 62.4	−52
5	W	////	2 31	3 34	4 17	12 23	20 30	21 14	22 17	−17.3	0 23	52	S 62.5	S 62.5	−52
6	T	////	2 30	3 33	4 17	12 24	20 31	21 15	22 18	−17.2	0 23	52	S 62.6	S 62.6	−52
7	F	////	2 29	3 32	4 16	12 24	20 32	21 16	22 19	−17.1	0 24	52	S 62.7	S 62.7	−51
8	S	////	2 28	3 32	4 16	12 24	20 32	21 16	22 21	−17.0	0 24	51	S 62.8	S 62.8	−51
9	S	////	2 27	3 31	4 16	12 24	20 33	21 17	22 22	−16.9	0 24	51	S 62.9	S 62.9	−51
10	M	////	2 26	3 31	4 15	12 24	20 34	21 18	22 23	−16.9	0 24	51	S 63.0	S 63.0	−51
11	T	////	2 26	3 31	4 15	12 25	20 34	21 19	22 24	−16.8	0 24	51	S 63.0	S 63.0	−51
12	W	////	2 25	3 30	4 15	12 25	20 35	21 20	22 25	−16.7	0 25	51	S 63.1	S 63.1	−51
13	T	////	2 25	3 30	4 15	12 25	20 36	21 20	22 26	−16.7	0 25	51	S 63.1	S 63.1	−51
14	F	////	2 24	3 30	4 14	12 25	20 36	21 21	22 27	−16.6	0 25	51	S 63.2	S 63.2	−51
15	S	////	2 24	3 30	4 14	12 25	20 37	21 21	22 27	−16.6	0 25	51	S 63.2	S 63.2	−51
16	S	////	2 24	3 30	4 14	12 26	20 37	21 22	22 28	−16.5	0 25	51	S 63.3	S 63.3	−50
17	M	////	2 23	3 30	4 14	12 26	20 37	21 22	22 28	−16.5	0 26	50	S 63.3	S 63.3	−50
18	T	////	2 23	3 30	4 14	12 26	20 38	21 23	22 29	−16.5	0 26	50	S 63.3	S 63.3	−50
19	W	////	2 23	3 30	4 15	12 26	20 38	21 23	22 29	−16.5	0 26	50	S 63.3	S 63.3	−50
20	T	////	2 24	3 30	4 15	12 26	20 38	21 23	22 29	−16.4	0 26	50	S 63.3	S 63.3	−50
21	F	////	2 24	3 30	4 15	12 27	20 38	21 23	22 30	−16.4	0 27	50	S 63.3	S 63.3	−50
22	S	////	2 24	3 30	4 15	12 27	20 39	21 23	22 30	−16.4	0 27	50	S 63.3	S 63.3	−50
23	S	////	2 24	3 31	4 15	12 27	20 39	21 24	22 30	−16.5	0 27	50	S 63.3	S 63.3	−50
24	M	////	2 25	3 31	4 16	12 27	20 39	21 24	22 30	−16.5	0 27	50	S 63.3	S 63.3	−50
25	T	////	2 25	3 31	4 16	12 28	20 39	21 23	22 29	−16.5	0 27	50	S 63.2	S 63.3	−51
26	W	////	2 26	3 32	4 17	12 28	20 39	21 23	22 29	−16.5	0 28	51	S 63.2	S 63.2	−51
27	T	////	2 27	3 32	4 17	12 28	20 39	21 23	22 29	−16.6	0 28	51	S 63.2	S 63.2	−51
28	F	////	2 27	3 33	4 18	12 28	20 38	21 23	22 28	−16.6	0 28	51	S 63.1	S 63.1	−51
29	S	////	2 28	3 34	4 18	12 28	20 38	21 23	22 28	−16.7	0 28	51	S 63.1	S 63.1	−51
30	S	////	2 29	3 34	4 19	12 29	20 38	21 22	22 27	−16.7	0 28	51	S 63.0	S 63.0	−51
July
1	M	////	2 30	3 35	4 19	12 29	20 38	21 22	22 26	−16.8	0 29	51	S 62.9	S 62.9	−51
2	T	////	2 31	3 36	4 20	12 29	20 37	21 22	22 26	−16.9	0 29	51	S 62.9	S 62.9	−51
3	W	////	2 33	3 37	4 21	12 29	20 37	21 21	22 25	−16.9	0 29	51	S 62.8	S 62.8	−51
4	T	////	2 34	3 38	4 22	12 29	20 37	21 20	22 24	−17.0	0 29	51	S 62.7	S 62.7	−52
5	F	////	2 35	3 39	4 22	12 29	20 36	21 20	22 23	−17.1	0 29	52	S 62.6	S 62.6	−52
6	S	////	2 36	3 40	4 23	12 30	20 36	21 19	22 22	−17.2	0 30	52	S 62.5	S 62.5	−52
7	S	////	2 38	3 41	4 24	12 30	20 35	21 18	22 21	−17.3	0 30	52	S 62.4	S 62.4	−52
8	M	////	2 39	3 42	4 25	12 30	20 34	21 18	22 19	−17.4	0 30	52	S 62.3	S 62.3	−52
9	T	////	2 41	3 43	4 26	12 30	20 34	21 17	22 18	−17.6	0 30	52	S 62.1	S 62.2	−53
10	W	////	2 42	3 44	4 27	12 30	20 33	21 16	22 17	−17.7	0 30	53	S 62.0	S 62.0	−53
11	T	////	2 44	3 45	4 28	12 30	20 32	21 15	22 16	−17.8	0 30	53	S 61.9	S 61.9	−53
12	F	////	2 46	3 46	4 29	12 31	20 31	21 14	22 14	−18.0	0 30	53	S 61.7	S 61.8	−53
13	S	0 48	2 47	3 47	4 30	12 31	20 31	21 13	22 13	0 14	0 31	53	S 61.6	S 61.6	−54
14	S{	0 58	2 49	3 49	4 31	12 31	20 30	21 12	22 11	0 04	0 31	54	S 61.4	S 61.5	−54
14	S{									23 57
15	M	1 05	2 51	3 50	4 32	12 31	20 29	21 11	22 09	23 50	0 31	54	S 61.3	S 61.3	−54
16	T	1 12	2 53	3 51	4 33	12 31	20 28	21 10	22 08	23 45	0 31	54	S 61.1	S 61.1	−54
17	W	1 17	2 55	3 53	4 35	12 31	20 27	21 08	22 06	23 40	0 31	55	S 60.9	S 61.0	−55
18	T	1 23	2 56	3 54	4 36	12 31	20 26	21 07	22 04	23 35	0 31	55	S 60.8	S 60.8	−55
19	F	1 28	2 58	3 55	4 37	12 31	20 25	21 06	22 02	23 30	0 31	55	S 60.6	S 60.6	−55
20	S	1 32	3 00	3 57	4 38	12 31	20 23	21 04	22 01	23 26	0 31	56	S 60.4	S 60.4	−56
21	S	1 37	3 02	3 58	4 39	12 31	20 22	21 03	21 59	23 22	0 31	56	S 60.2	S 60.2	−56
22	M	1 41	3 04	4 00	4 41	12 31	20 21	21 02	21 57	23 18	0 31	56	S 60.0	S 60.0	−56
23	T	1 45	3 06	4 01	4 42	12 31	20 20	21 00	21 55	23 14	0 31	57	S 59.8	S 59.8	−57
24	W	1 49	3 08	4 03	4 43	12 31	20 19	20 59	21 53	23 10	0 31	57	S 59.6	S 59.6	−57
25	T	1 53	3 10	4 04	4 45	12 31	20 17	20 57	21 51	23 06	0 31	57	S 59.4	S 59.4	−58
26	F	1 57	3 12	4 06	4 46	12 31	20 16	20 56	21 49	23 03	0 31	58	S 59.1	S 59.2	−58
27	S	2 00	3 14	4 07	4 47	12 31	20 14	20 54	21 47	22 59	0 31	58	S 58.9	S 58.9	−58
28	S	2 04	3 16	4 09	4 49	12 31	20 13	20 52	21 45	22 55	0 31	59	S 58.7	S 58.7	−59
29	M	2 08	3 18	4 11	4 50	12 31	20 12	20 51	21 43	22 52	0 31	59	S 58.4	S 58.5	−59
30	T	2 11	3 20	4 12	4 51	12 31	20 10	20 49	21 41	22 48	0 31	59	S 58.2	S 58.2	−60
31	W	2 14	3 22	4 14	4 53	12 31	20 09	20 47	21 38	22 45	0 31	60	S 58.0	S 58.0	−60
August
1	T	2 18	3 24	4 15	4 54	12 31	20 07	20 46	21 36	22 42	0 31	60	S 57.7	S 57.7	−60
2	F	2 21	3 26	4 17	4 56	12 31	20 05	20 44	21 34	22 38	0 31	61	S 57.4	S 57.5	−61
3	S	2 24	3 28	4 19	4 57	12 31	20 04	20 42	21 32	22 35	0 31	61	S 57.2	S 57.2	−61
4	S	2 27	3 31	4 20	4 59	12 31	20 02	20 40	21 30	22 32	0 31	62	S 56.9	S 56.9	−62
5	M	2 31	3 33	4 22	5 00	12 31	20 01	20 38	21 27	22 28	0 31	62	S 56.6	S 56.7	−62
6	T	2 34	3 35	4 24	5 01	12 31	19 59	20 36	21 25	22 25	0 31	62	S 56.4	S 56.4	−63
7	W	2 37	3 37	4 25	5 03	12 31	19 57	20 35	21 23	22 22	0 31	63	S 56.1	S 56.1	−63
8	T	2 40	3 39	4 27	5 04	12 30	19 55	20 33	21 20	22 19	0 30	63	S 55.8	S 55.8	−64
9	F	2 43	3 41	4 29	5 06	12 30	19 54	20 31	21 18	22 15	0 30	64	S 55.5	S 55.5	−64
10	S	2 45	3 43	4 30	5 07	12 30	19 52	20 29	21 16	22 12	0 30	64	S 55.2	S 55.2	−65
11	S	2 48	3 45	4 32	5 09	12 30	19 50	20 27	21 13	22 09	0 30	65	S 54.9	S 54.9	−65
12	M	2 51	3 47	4 34	5 10	12 30	19 48	20 25	21 11	22 06	0 30	65	S 54.6	S 54.6	−66
13	T	2 54	3 49	4 35	5 12	12 30	19 46	20 23	21 09	22 03	0 30	66	S 54.3	S 54.3	−66
14	W	2 57	3 51	4 37	5 13	12 29	19 45	20 21	21 06	22 00	0 29	66	S 54.0	S 54.0	−67
15	T	2 59	3 53	4 39	5 15	12 29	19 43	20 19	21 04	21 57	0 29	67	S 53.7	S 53.7	−67
16	F	3 02	3 55	4 40	5 16	12 29	19 41	20 16	21 02	21 54	0 29	67	S 53.4	S 53.4	−68
17	S	3 04	3 57	4 42	5 18	12 29	19 39	20 14	20 59	21 51	0 29	68	S 53.1	S 53.1	−68
18	S	3 07	3 59	4 44	5 19	12 29	19 37	20 12	20 57	21 48	0 29	68	S 52.7	S 52.7	−69
19	M	3 10	4 01	4 45	5 21	12 28	19 35	20 10	20 54	21 45	0 28	69	S 52.4	S 52.4	−69
20	T	3 12	4 03	4 47	5 22	12 28	19 33	20 08	20 52	21 42	0 28	70	S 52.1	S 52.1	−70
21	W	3 15	4 05	4 49	5 24	12 28	19 31	20 06	20 49	21 39	0 28	70	S 51.7	S 51.8	−70
22	T	3 17	4 07	4 50	5 25	12 28	19 29	20 04	20 47	21 36	0 28	71	S 51.4	S 51.4	−71
23	F	3 20	4 08	4 52	5 27	12 27	19 27	20 02	20 45	21 33	0 27	71	S 51.1	S 51.1	−72
24	S	3 22	4 10	4 53	5 28	12 27	19 25	19 59	20 42	21 30	0 27	72	S 50.7	S 50.7	−72
25	S	3 24	4 12	4 55	5 30	12 27	19 23	19 57	20 40	21 27	0 27	72	S 50.4	S 50.4	−73
26	M	3 27	4 14	4 57	5 31	12 26	19 21	19 55	20 37	21 24	0 27	73	S 50.0	S 50.0	−73
27	T	3 29	4 16	4 58	5 33	12 26	19 19	19 53	20 35	21 21	0 26	73	S 49.7	S 49.7	−74
28	W	3 31	4 18	5 00	5 34	12 26	19 17	19 51	20 32	21 18	0 26	74	S 49.3	S 49.3	−74
29	T	3 34	4 20	5 02	5 36	12 26	19 14	19 48	20 30	21 16	0 26	75	S 49.0	S 49.0	−75
30	F	3 36	4 22	5 03	5 37	12 25	19 12	19 46	20 28	21 13	0 25	75	S 48.6	S 48.6	−75
31	S	3 38	4 23	5 05	5 39	12 25	19 10	19 44	20 25	21 10	0 25	76	S 48.2	S 48.3	−76
September
1	S	3 40	4 25	5 06	5 40	12 25	19 08	19 42	20 23	21 07	0 25	76	S 47.9	S 47.9	−77
2	M	3 42	4 27	5 08	5 42	12 24	19 06	19 39	20 20	21 04	0 24	77	S 47.5	S 47.5	−77
3	T	3 45	4 29	5 10	5 43	12 24	19 04	19 37	20 18	21 02	0 24	77	S 47.1	S 47.2	−78
4	W	3 47	4 31	5 11	5 45	12 24	19 02	19 35	20 15	20 59	0 24	78	S 46.8	S 46.8	−78
5	T	3 49	4 32	5 13	5 46	12 23	18 59	19 33	20 13	20 56	0 23	79	S 46.4	S 46.4	−79
6	F	3 51	4 34	5 14	5 48	12 23	18 57	19 30	20 10	20 53	0 23	79	S 46.0	S 46.1	−80
7	S	3 53	4 36	5 16	5 49	12 23	18 55	19 28	20 08	20 51	0 23	80	S 45.7	S 45.7	−80
8	S	3 55	4 38	5 17	5 51	12 22	18 53	19 26	20 06	20 48	0 22	80	S 45.3	S 45.3	−81
9	M	3 57	4 39	5 19	5 52	12 22	18 51	19 24	20 03	20 45	0 22	81	S 44.9	S 44.9	−81
10	T	3 59	4 41	5 21	5 54	12 22	18 49	19 21	20 01	20 43	0 22	82	S 44.5	S 44.5	−82
11	W	4 01	4 43	5 22	5 55	12 21	18 46	19 19	19 58	20 40	0 21	82	S 44.1	S 44.2	−82
12	T	4 03	4 44	5 24	5 57	12 21	18 44	19 17	19 56	20 37	0 21	83	S 43.8	S 43.8	−83
13	F	4 05	4 46	5 25	5 58	12 21	18 42	19 15	19 54	20 35	0 21	83	S 43.4	S 43.4	−84
14	S	4 07	4 48	5 27	6 00	12 20	18 40	19 12	19 51	20 32	0 20	84	S 43.0	S 43.0	−84
15	S	4 09	4 50	5 28	6 01	12 20	18 38	19 10	19 49	20 30	0 20	85	S 42.6	S 42.6	−85
16	M	4 10	4 51	5 30	6 03	12 19	18 35	19 08	19 46	20 27	0 20	85	S 42.2	S 42.2	−85
17	T	4 12	4 53	5 32	6 04	12 19	18 33	19 06	19 44	20 24	0 19	86	S 41.8	S 41.9	−86
18	W	4 14	4 55	5 33	6 06	12 19	18 31	19 03	19 42	20 22	0 19	86	S 41.5	S 41.5	−87
19	T	4 16	4 56	5 35	6 07	12 18	18 29	19 01	19 39	20 19	0 19	87	S 41.1	S 41.1	−87
20	F	4 18	4 58	5 36	6 09	12 18	18 26	18 59	19 37	20 17	0 18	88	S 40.7	S 40.7	−88
21	S	4 20	4 59	5 38	6 10	12 18	18 24	18 57	19 35	20 14	0 18	88	S 40.3	S 40.3	−89
22	S	4 21	5 01	5 39	6 12	12 17	18 22	18 54	19 32	20 12	0 17	89	S 39.9	S 39.9	−89
23	M	4 23	5 03	5 41	6 13	12 17	18 20	18 52	19 30	20 09	0 17	89	S 39.5	S 39.5	−90
24	T	4 25	5 04	5 42	6 15	12 17	18 18	18 50	19 28	20 07	0 17	90	S 39.1	S 39.1	−90
25	W	4 27	5 06	5 44	6 16	12 16	18 15	18 48	19 25	20 05	0 16	91	S 38.7	S 38.8	−91
26	T	4 28	5 07	5 45	6 18	12 16	18 13	18 45	19 23	20 02	0 16	91	S 38.3	S 38.4	−92
27	F	4 30	5 09	5 47	6 19	12 16	18 11	18 43	19 21	20 00	0 16	92	S 38.0	S 38.0	−92
28	S	4 32	5 11	5 48	6 21	12 15	18 09	18 41	19 19	19 57	0 15	92	S 37.6	S 37.6	−93
29	S	4 34	5 12	5 50	6 22	12 15	18 07	18 39	19 16	19 55	0 15	93	S 37.2	S 37.2	−93
30	M	4 35	5 14	5 52	6 24	12 15	18 04	18 37	19 14	19 53	0 15	94	S 36.8	S 36.8	−94
October
1	T	4 37	5 15	5 53	6 25	12 14	18 02	18 34	19 12	19 50	0 14	94	S 36.4	S 36.4	−95
2	W	4 39	5 17	5 55	6 27	12 14	18 00	18 32	19 10	19 48	0 14	95	S 36.0	S 36.0	−95
3	T	4 40	5 19	5 56	6 28	12 14	17 58	18 30	19 08	19 46	0 14	95	S 35.6	S 35.7	−96
4	F	4 42	5 20	5 58	6 30	12 13	17 56	18 28	19 05	19 44	0 13	96	S 35.2	S 35.3	−96
5	S	4 44	5 22	5 59	6 32	12 13	17 54	18 26	19 03	19 41	0 13	97	S 34.9	S 34.9	−97
6	S	4 45	5 23	6 01	6 33	12 13	17 52	18 24	19 01	19 39	0 13	97	S 34.5	S 34.5	−98
7	M	4 47	5 25	6 02	6 35	12 12	17 49	18 22	18 59	19 37	0 13	98	S 34.1	S 34.1	−98
8	T	4 48	5 26	6 04	6 36	12 12	17 47	18 20	18 57	19 35	0 12	98	S 33.7	S 33.7	−99
9	W	4 50	5 28	6 05	6 38	12 12	17 45	18 17	18 55	19 33	0 12	99	S 33.3	S 33.4	−99
10	T	4 52	5 29	6 07	6 39	12 12	17 43	18 15	18 53	19 31	0 12	100	S 33.0	S 33.0	−100
11	F	4 53	5 31	6 08	6 41	12 11	17 41	18 13	18 51	19 28	0 12	100	S 32.6	S 32.6	−101
12	S	4 55	5 33	6 10	6 43	12 11	17 39	18 11	18 49	19 26	0 11	101	S 32.2	S 32.2	−101
13	S	4 56	5 34	6 12	6 44	12 11	17 37	18 09	18 47	19 24	0 11	101	S 31.8	S 31.9	−102
14	M	4 58	5 36	6 13	6 46	12 11	17 35	18 07	18 45	19 22	0 11	102	S 31.5	S 31.5	−102
15	T	5 00	5 37	6 15	6 47	12 10	17 33	18 05	18 43	19 20	0 11	103	S 31.1	S 31.1	−103
16	W	5 01	5 39	6 16	6 49	12 10	17 31	18 03	18 41	19 18	0 10	103	S 30.7	S 30.7	−103
17	T	5 03	5 40	6 18	6 51	12 10	17 29	18 01	18 39	19 16	0 10	104	S 30.4	S 30.4	−104
18	F	5 04	5 42	6 19	6 52	12 10	17 27	17 59	18 37	19 14	0 10	104	S 30.0	S 30.0	−105
19	S	5 06	5 43	6 21	6 54	12 10	17 25	17 58	18 35	19 13	0 10	105	S 29.6	S 29.7	−105
20	S	5 07	5 45	6 22	6 56	12 09	17 23	17 56	18 33	19 11	0 10	106	S 29.3	S 29.3	−106
21	M	5 09	5 46	6 24	6 57	12 09	17 21	17 54	18 31	19 09	0 09	106	S 28.9	S 28.9	−106
22	T	5 10	5 48	6 26	6 59	12 09	17 19	17 52	18 30	19 07	0 09	107	S 28.6	S 28.6	−107
23	W	5 12	5 49	6 27	7 00	12 09	17 17	17 50	18 28	19 05	0 09	107	S 28.2	S 28.2	−107
24	T	5 13	5 51	6 29	7 02	12 09	17 15	17 48	18 26	19 03	0 09	108	S 27.9	S 27.9	−108
25	F	5 15	5 52	6 30	7 04	12 09	17 13	17 47	18 24	19 02	0 09	108	S 27.5	S 27.6	−109
26	S	5 16	5 54	6 32	7 05	12 09	17 11	17 45	18 23	19 00	0 09	109	S 27.2	S 27.2	−109
27	S	5 18	5 55	6 33	7 07	12 09	17 09	17 43	18 21	18 58	0 09	109	S 26.8	S 26.9	−110
28	M	5 19	5 57	6 35	7 09	12 09	17 08	17 41	18 19	18 57	0 09	110	S 26.5	S 26.5	−110
29	T	5 21	5 58	6 37	7 10	12 08	17 06	17 40	18 18	18 55	0 08	110	S 26.2	S 26.2	−111
30	W	5 22	6 00	6 38	7 12	12 08	17 04	17 38	18 16	18 54	0 08	111	S 25.9	S 25.9	−111
31	T	5 24	6 01	6 40	7 14	12 08	17 02	17 36	18 15	18 52	0 08	112	S 25.5	S 25.6	−112
November
1	F	5 25	6 03	6 41	7 15	12 08	17 01	17 35	18 13	18 51	0 08	112	S 25.2	S 25.3	−112
2	S	5 27	6 04	6 43	7 17	12 08	16 59	17 33	18 11	18 49	0 08	113	S 24.9	S 24.9	−113
3	S	5 28	6 06	6 44	7 19	12 08	16 57	17 32	18 10	18 48	0 08	113	S 24.6	S 24.6	−113
4	M	5 30	6 07	6 46	7 20	12 08	16 56	17 30	18 09	18 46	0 08	114	S 24.3	S 24.3	−114
5	T	5 31	6 09	6 48	7 22	12 08	16 54	17 29	18 07	18 45	0 08	114	S 24.0	S 24.0	−114
6	W	5 33	6 10	6 49	7 24	12 08	16 52	17 27	18 06	18 44	0 08	115	S 23.7	S 23.7	−115
7	T	5 34	6 12	6 51	7 25	12 08	16 51	17 26	18 04	18 42	0 08	115	S 23.4	S 23.4	−115
8	F	5 35	6 13	6 52	7 27	12 09	16 49	17 24	18 03	18 41	0 09	116	S 23.1	S 23.1	−116
9	S	5 37	6 15	6 54	7 29	12 09	16 48	17 23	18 02	18 40	0 09	116	S 22.8	S 22.9	−116
10	S	5 38	6 16	6 55	7 30	12 09	16 47	17 22	18 01	18 39	0 09	117	S 22.5	S 22.6	−117
11	M	5 40	6 18	6 57	7 32	12 09	16 45	17 20	17 59	18 37	0 09	117	S 22.3	S 22.3	−117
12	T	5 41	6 19	6 58	7 34	12 09	16 44	17 19	17 58	18 36	0 09	117	S 22.0	S 22.0	−118
13	W	5 42	6 20	7 00	7 35	12 09	16 42	17 18	17 57	18 35	0 09	118	S 21.7	S 21.8	−118
14	T	5 44	6 22	7 01	7 37	12 09	16 41	17 17	17 56	18 34	0 09	118	S 21.5	S 21.5	−118
15	F	5 45	6 23	7 03	7 39	12 09	16 40	17 15	17 55	18 33	0 09	119	S 21.2	S 21.3	−119
16	S	5 46	6 25	7 04	7 40	12 10	16 39	17 14	17 54	18 32	0 10	119	S 21.0	S 21.0	−119
17	S	5 48	6 26	7 06	7 42	12 10	16 37	17 13	17 53	18 31	0 10	120	S 20.7	S 20.8	−120
18	M	5 49	6 27	7 07	7 43	12 10	16 36	17 12	17 52	18 30	0 10	120	S 20.5	S 20.5	−120
19	T	5 50	6 29	7 09	7 45	12 10	16 35	17 11	17 51	18 30	0 10	120	S 20.3	S 20.3	−121
20	W	5 52	6 30	7 10	7 47	12 10	16 34	17 10	17 50	18 29	0 10	121	S 20.0	S 20.1	−121
21	T	5 53	6 32	7 12	7 48	12 11	16 33	17 09	17 49	18 28	0 11	121	S 19.8	S 19.9	−121
22	F	5 54	6 33	7 13	7 50	12 11	16 32	17 09	17 49	18 27	0 11	121	S 19.6	S 19.6	−122
23	S	5 56	6 34	7 14	7 51	12 11	16 31	17 08	17 48	18 27	0 11	122	S 19.4	S 19.4	−122
24	S	5 57	6 35	7 16	7 53	12 12	16 30	17 07	17 47	18 26	0 11	122	S 19.2	S 19.2	−122
25	M	5 58	6 37	7 17	7 54	12 12	16 29	17 06	17 47	18 25	0 12	123	S 19.0	S 19.0	−123
26	T	5 59	6 38	7 18	7 56	12 12	16 28	17 05	17 46	18 25	0 12	123	S 18.8	S 18.9	−123
27	W	6 00	6 39	7 20	7 57	12 13	16 28	17 05	17 45	18 24	0 12	123	S 18.6	S 18.7	−123
28	T	6 02	6 40	7 21	7 58	12 13	16 27	17 04	17 45	18 24	0 13	123	S 18.5	S 18.5	−124
29	F	6 03	6 42	7 22	8 00	12 13	16 26	17 04	17 44	18 23	0 13	124	S 18.3	S 18.3	−124
30	S	6 04	6 43	7 24	8 01	12 14	16 26	17 03	17 44	18 23	0 13	124	S 18.1	S 18.2	−124
December
1	S	6 05	6 44	7 25	8 02	12 14	16 25	17 03	17 44	18 23	0 14	124	S 18.0	S 18.0	−124
2	M	6 06	6 45	7 26	8 04	12 14	16 25	17 02	17 43	18 22	0 14	125	S 17.8	S 17.9	−125
3	T	6 07	6 46	7 27	8 05	12 15	16 24	17 02	17 43	18 22	0 15	125	S 17.7	S 17.7	−125
4	W	6 08	6 47	7 28	8 06	12 15	16 24	17 02	17 43	18 22	0 15	125	S 17.5	S 17.6	−125
5	T	6 09	6 48	7 30	8 07	12 16	16 23	17 01	17 42	18 22	0 15	125	S 17.4	S 17.5	−125
6	F	6 10	6 49	7 31	8 09	12 16	16 23	17 01	17 42	18 22	0 16	126	S 17.3	S 17.4	−126
7	S	6 11	6 50	7 32	8 10	12 16	16 23	17 01	17 42	18 21	0 16	126	S 17.2	S 17.2	−126
8	S	6 12	6 51	7 33	8 11	12 17	16 23	17 01	17 42	18 21	0 17	126	S 17.1	S 17.1	−126
9	M	6 13	6 52	7 34	8 12	12 17	16 22	17 01	17 42	18 21	0 17	126	S 17.0	S 17.1	−126
10	T	6 14	6 53	7 35	8 13	12 18	16 22	17 01	17 42	18 21	0 18	126	S 16.9	S 17.0	−126
11	W	6 15	6 54	7 36	8 14	12 18	16 22	17 01	17 42	18 22	0 18	126	S 16.8	S 16.9	−126
12	T	6 16	6 55	7 37	8 15	12 19	16 22	17 01	17 42	18 22	0 18	127	S 16.8	S 16.8	−127
13	F	6 16	6 56	7 37	8 16	12 19	16 22	17 01	17 42	18 22	0 19	127	S 16.7	S 16.7	−127
14	S	6 17	6 57	7 38	8 17	12 20	16 22	17 01	17 43	18 22	0 19	127	S 16.6	S 16.7	−127
15	S	6 18	6 57	7 39	8 18	12 20	16 23	17 01	17 43	18 22	0 20	127	S 16.6	S 16.6	−127
16	M	6 18	6 58	7 40	8 18	12 21	16 23	17 01	17 43	18 23	0 20	127	S 16.5	S 16.6	−127
17	T	6 19	6 59	7 40	8 19	12 21	16 23	17 02	17 43	18 23	0 21	127	S 16.5	S 16.6	−127
18	W	6 20	6 59	7 41	8 20	12 22	16 23	17 02	17 44	18 23	0 21	127	S 16.5	S 16.5	−127
19	T	6 20	7 00	7 42	8 20	12 22	16 24	17 02	17 44	18 24	0 22	127	S 16.5	S 16.5	−127
20	F	6 21	7 01	7 42	8 21	12 23	16 24	17 03	17 45	18 24	0 22	127	S 16.4	S 16.5	−127
21	S	6 21	7 01	7 43	8 21	12 23	16 25	17 03	17 45	18 25	0 23	127	S 16.4	S 16.5	−127
22	S	6 22	7 02	7 43	8 22	12 24	16 25	17 04	17 46	18 25	0 23	127	S 16.4	S 16.5	−127
23	M	6 22	7 02	7 44	8 22	12 24	16 26	17 04	17 46	18 26	0 24	127	S 16.5	S 16.5	−127
24	T	6 23	7 02	7 44	8 23	12 25	16 26	17 05	17 47	18 26	0 24	127	S 16.5	S 16.5	−127
25	W	6 23	7 03	7 44	8 23	12 25	16 27	17 06	17 47	18 27	0 25	127	S 16.5	S 16.6	−127
26	T	6 24	7 03	7 45	8 23	12 26	16 28	17 06	17 48	18 28	0 25	127	S 16.5	S 16.6	−127
27	F	6 24	7 03	7 45	8 23	12 26	16 29	17 07	17 49	18 28	0 26	127	S 16.6	S 16.6	−127
28	S	6 24	7 04	7 45	8 24	12 27	16 30	17 08	17 50	18 29	0 26	127	S 16.6	S 16.7	−127
29	S	6 24	7 04	7 45	8 24	12 27	16 30	17 09	17 50	18 30	0 27	127	S 16.7	S 16.8	−127
30	M	6 24	7 04	7 45	8 24	12 27	16 31	17 10	17 51	18 31	0 27	127	S 16.8	S 16.8	−126
31	T	6 25	7 04	7 46	8 24	12 28	16 32	17 11	17 52	18 32	0 28	126	S 16.8	S 16.9	−126

Explanations

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

Position: 50° 07′ 00″ N 8° 41′ 00″ 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