Sunrise, sunset and twilights in Frankfurt in 2025

Frankfurt, Germany

This table is for the year 2025. See also table for 2024. There are also tables of daylength in Frankfurt in 2024 and 2025, and tables of moonrise and moonset in 2024 and 2025.

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
Jan. 1	6 25	7 04	7 46	8 24	12 28	16 33	17 12	17 53	18 32	0 28	126	S 16.9	S 17.0	−126
Jan. 2	6 25	7 04	7 45	8 24	12 29	16 34	17 13	17 54	18 33	0 29	126	S 17.0	S 17.1	−126
Jan. 3	6 25	7 04	7 45	8 24	12 29	16 35	17 14	17 55	18 34	0 29	126	S 17.1	S 17.2	−126
Jan. 4	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
Jan. 5	6 25	7 04	7 45	8 23	12 30	16 38	17 16	17 57	18 36	0 30	126	S 17.3	S 17.4	−125
Jan. 6	6 24	7 04	7 45	8 23	12 31	16 39	17 17	17 58	18 37	0 30	125	S 17.5	S 17.5	−125
Jan. 7	6 24	7 03	7 45	8 22	12 31	16 40	17 18	17 59	18 38	0 31	125	S 17.6	S 17.6	−125
Jan. 8	6 24	7 03	7 44	8 22	12 32	16 41	17 19	18 00	18 39	0 31	125	S 17.7	S 17.8	−125
Jan. 9	6 24	7 03	7 44	8 22	12 32	16 43	17 20	18 01	18 40	0 32	125	S 17.9	S 17.9	−125
Jan. 10	6 24	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
Jan. 11	6 23	7 02	7 43	8 20	12 33	16 45	17 23	18 04	18 43	0 33	124	S 18.2	S 18.2	−124
Jan. 12	6 23	7 02	7 43	8 20	12 33	16 47	17 24	18 05	18 44	0 33	124	S 18.3	S 18.4	−124
Jan. 13	6 22	7 01	7 42	8 19	12 34	16 48	17 26	18 06	18 45	0 33	124	S 18.5	S 18.5	−123
Jan. 14	6 22	7 01	7 41	8 18	12 34	16 50	17 27	18 07	18 46	0 34	123	S 18.7	S 18.7	−123
Jan. 15	6 21	7 00	7 41	8 18	12 34	16 51	17 28	18 09	18 48	0 34	123	S 18.9	S 18.9	−123
Jan. 16	6 21	7 00	7 40	8 17	12 35	16 53	17 30	18 10	18 49	0 34	123	S 19.0	S 19.1	−122
Jan. 17	6 20	6 59	7 39	8 16	12 35	16 54	17 31	18 11	18 50	0 35	122	S 19.2	S 19.3	−122
Jan. 18	6 20	6 58	7 39	8 15	12 35	16 56	17 32	18 13	18 51	0 35	122	S 19.4	S 19.5	−122
Jan. 19	6 19	6 58	7 38	8 14	12 36	16 57	17 34	18 14	18 53	0 35	122	S 19.7	S 19.7	−121
Jan. 20	6 18	6 57	7 37	8 13	12 36	16 59	17 35	18 15	18 54	0 36	121	S 19.9	S 19.9	−121
Jan. 21	6 18	6 56	7 36	8 12	12 36	17 01	17 37	18 17	18 55	0 36	121	S 20.1	S 20.1	−121
Jan. 22	6 17	6 55	7 35	8 11	12 36	17 02	17 38	18 18	18 57	0 36	120	S 20.3	S 20.4	−120
Jan. 23	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 20.6	−120
Jan. 24	6 15	6 53	7 33	8 09	12 37	17 05	17 41	18 21	18 59	0 37	120	S 20.8	S 20.8	−119
Jan. 25	6 14	6 52	7 32	8 08	12 37	17 07	17 43	18 22	19 01	0 37	119	S 21.0	S 21.1	−119
Jan. 26	6 13	6 51	7 31	8 06	12 37	17 09	17 44	18 24	19 02	0 37	119	S 21.3	S 21.3	−119
Jan. 27	6 12	6 50	7 30	8 05	12 38	17 10	17 46	18 25	19 03	0 37	118	S 21.6	S 21.6	−118
Jan. 28	6 11	6 49	7 29	8 04	12 38	17 12	17 48	18 27	19 05	0 38	118	S 21.8	S 21.9	−118
Jan. 29	6 10	6 48	7 27	8 03	12 38	17 14	17 49	18 28	19 06	0 38	117	S 22.1	S 22.1	−117
Jan. 30	6 09	6 47	7 26	8 01	12 38	17 15	17 51	18 30	19 08	0 38	117	S 22.4	S 22.4	−117
Jan. 31	6 08	6 46	7 25	8 00	12 38	17 17	17 52	18 31	19 09	0 38	116	S 22.6	S 22.7	−116
Feb. 1	6 07	6 45	7 23	7 58	12 38	17 19	17 54	18 33	19 11	0 38	116	S 22.9	S 23.0	−116
Feb. 2	6 05	6 43	7 22	7 57	12 38	17 21	17 56	18 34	19 12	0 38	116	S 23.2	S 23.3	−115
Feb. 3	6 04	6 42	7 21	7 55	12 39	17 22	17 57	18 36	19 14	0 39	115	S 23.5	S 23.6	−115
Feb. 4	6 03	6 41	7 19	7 54	12 39	17 24	17 59	18 37	19 15	0 39	115	S 23.8	S 23.9	−114
Feb. 5	6 02	6 39	7 18	7 52	12 39	17 26	18 00	18 39	19 17	0 39	114	S 24.1	S 24.2	−114
Feb. 6	6 00	6 38	7 16	7 51	12 39	17 28	18 02	18 41	19 18	0 39	114	S 24.4	S 24.5	−113
Feb. 7	5 59	6 36	7 15	7 49	12 39	17 29	18 04	18 42	19 20	0 39	113	S 24.7	S 24.8	−113
Feb. 8	5 57	6 35	7 13	7 48	12 39	17 31	18 05	18 44	19 21	0 39	113	S 25.1	S 25.1	−112
Feb. 9	5 56	6 34	7 12	7 46	12 39	17 33	18 07	18 45	19 23	0 39	112	S 25.4	S 25.4	−112
Feb. 10	5 54	6 32	7 10	7 44	12 39	17 35	18 08	18 47	19 24	0 39	112	S 25.7	S 25.7	−111
Feb. 11	5 53	6 30	7 09	7 42	12 39	17 36	18 10	18 48	19 26	0 39	111	S 26.0	S 26.1	−111
Feb. 12	5 51	6 29	7 07	7 41	12 39	17 38	18 12	18 50	19 27	0 39	110	S 26.4	S 26.4	−110
Feb. 13	5 50	6 27	7 05	7 39	12 39	17 40	18 13	18 51	19 29	0 39	110	S 26.7	S 26.7	−110
Feb. 14	5 48	6 26	7 04	7 37	12 39	17 41	18 15	18 53	19 31	0 39	109	S 27.0	S 27.1	−109
Feb. 15	5 47	6 24	7 02	7 35	12 39	17 43	18 17	18 55	19 32	0 39	109	S 27.4	S 27.4	−109
Feb. 16	5 45	6 22	7 00	7 33	12 39	17 45	18 18	18 56	19 34	0 39	108	S 27.7	S 27.8	−108
Feb. 17	5 43	6 21	6 58	7 32	12 39	17 47	18 20	18 58	19 35	0 39	108	S 28.1	S 28.1	−107
Feb. 18	5 41	6 19	6 57	7 30	12 39	17 48	18 22	18 59	19 37	0 39	107	S 28.4	S 28.5	−107
Feb. 19	5 40	6 17	6 55	7 28	12 39	17 50	18 23	19 01	19 38	0 39	107	S 28.8	S 28.8	−106
Feb. 20	5 38	6 15	6 53	7 26	12 38	17 52	18 25	19 03	19 40	0 38	106	S 29.1	S 29.2	−106
Feb. 21	5 36	6 13	6 51	7 24	12 38	17 54	18 27	19 04	19 42	0 38	105	S 29.5	S 29.5	−105
Feb. 22	5 34	6 12	6 49	7 22	12 38	17 55	18 28	19 06	19 43	0 38	105	S 29.9	S 29.9	−105
Feb. 23	5 32	6 10	6 47	7 20	12 38	17 57	18 30	19 07	19 45	0 38	104	S 30.2	S 30.3	−104
Feb. 24	5 30	6 08	6 45	7 18	12 38	17 59	18 31	19 09	19 47	0 38	104	S 30.6	S 30.6	−103
Feb. 25	5 28	6 06	6 43	7 16	12 38	18 00	18 33	19 11	19 48	0 38	103	S 31.0	S 31.0	−103
Feb. 26	5 26	6 04	6 41	7 14	12 38	18 02	18 35	19 12	19 50	0 38	102	S 31.4	S 31.4	−102
Feb. 27	5 24	6 02	6 39	7 12	12 37	18 04	18 36	19 14	19 52	0 38	102	S 31.7	S 31.8	−102
Feb. 28	5 22	6 00	6 37	7 10	12 37	18 05	18 38	19 15	19 53	0 37	101	S 32.1	S 32.1	−101
Mar. 1	5 20	5 58	6 35	7 08	12 37	18 07	18 40	19 17	19 55	0 37	101	S 32.5	S 32.5	−100
Mar. 2	5 18	5 56	6 33	7 06	12 37	18 09	18 41	19 19	19 56	0 37	100	S 32.9	S 32.9	−100
Mar. 3	5 16	5 54	6 31	7 04	12 37	18 10	18 43	19 20	19 58	0 37	99	S 33.3	S 33.3	−99
Mar. 4	5 14	5 52	6 29	7 02	12 36	18 12	18 44	19 22	20 00	0 37	99	S 33.6	S 33.7	−99
Mar. 5	5 12	5 50	6 27	7 00	12 36	18 14	18 46	19 24	20 02	0 36	98	S 34.0	S 34.1	−98
Mar. 6	5 10	5 48	6 25	6 57	12 36	18 15	18 48	19 25	20 03	0 36	98	S 34.4	S 34.4	−97
Mar. 7	5 08	5 46	6 23	6 55	12 36	18 17	18 49	19 27	20 05	0 36	97	S 34.8	S 34.8	−97
Mar. 8	5 05	5 44	6 21	6 53	12 35	18 19	18 51	19 28	20 07	0 36	96	S 35.2	S 35.2	−96
Mar. 9	5 03	5 41	6 19	6 51	12 35	18 20	18 53	19 30	20 08	0 35	96	S 35.6	S 35.6	−96
Mar. 10	5 01	5 39	6 17	6 49	12 35	18 22	18 54	19 32	20 10	0 35	95	S 36.0	S 36.0	−95
Mar. 11	4 59	5 37	6 15	6 47	12 35	18 23	18 56	19 33	20 12	0 35	95	S 36.4	S 36.4	−94
Mar. 12	4 56	5 35	6 12	6 45	12 34	18 25	18 57	19 35	20 14	0 35	94	S 36.8	S 36.8	−94
Mar. 13	4 54	5 33	6 10	6 43	12 34	18 27	18 59	19 37	20 15	0 34	93	S 37.2	S 37.2	−93
Mar. 14	4 52	5 30	6 08	6 40	12 34	18 28	19 01	19 38	20 17	0 34	93	S 37.6	S 37.6	−92
Mar. 15	4 50	5 28	6 06	6 38	12 34	18 30	19 02	19 40	20 19	0 34	92	S 38.0	S 38.0	−92
Mar. 16	4 47	5 26	6 04	6 36	12 33	18 32	19 04	19 42	20 21	0 33	92	S 38.3	S 38.4	−91
Mar. 17	4 45	5 24	6 02	6 34	12 33	18 33	19 05	19 44	20 23	0 33	91	S 38.7	S 38.8	−91
Mar. 18	4 42	5 21	5 59	6 32	12 33	18 35	19 07	19 45	20 25	0 33	90	S 39.1	S 39.2	−90
Mar. 19	4 40	5 19	5 57	6 29	12 32	18 36	19 09	19 47	20 26	0 33	90	S 39.5	S 39.6	−89
Mar. 20	4 38	5 17	5 55	6 27	12 32	18 38	19 10	19 49	20 28	0 32	89	S 39.9	S 39.9	−89
Mar. 21	4 35	5 15	5 53	6 25	12 32	18 40	19 12	19 50	20 30	0 32	88	S 40.3	S 40.3	−88
Mar. 22	4 33	5 12	5 51	6 23	12 32	18 41	19 14	19 52	20 32	0 32	88	S 40.7	S 40.7	−88
Mar. 23	4 30	5 10	5 48	6 21	12 31	18 43	19 15	19 54	20 34	0 31	87	S 41.1	S 41.1	−87
Mar. 24	4 28	5 08	5 46	6 19	12 31	18 44	19 17	19 55	20 36	0 31	87	S 41.5	S 41.5	−86
Mar. 25	4 25	5 05	5 44	6 16	12 31	18 46	19 18	19 57	20 38	0 31	86	S 41.9	S 41.9	−86
Mar. 26	4 22	5 03	5 42	6 14	12 30	18 48	19 20	19 59	20 40	0 31	85	S 42.3	S 42.3	−85
Mar. 27	4 20	5 01	5 39	6 12	12 30	18 49	19 22	20 01	20 42	0 30	85	S 42.7	S 42.7	−84
Mar. 28	4 17	4 58	5 37	6 10	12 30	18 51	19 23	20 02	20 44	0 30	84	S 43.1	S 43.1	−84
Mar. 29	4 15	4 56	5 35	6 08	12 29	18 52	19 25	20 04	20 46	0 30	84	S 43.5	S 43.5	−83
Mar. 30	4 12	4 54	5 33	6 05	12 29	18 54	19 27	20 06	20 48	0 29	83	S 43.9	S 43.9	−83
Mar. 31	4 10	4 51	5 31	6 03	12 29	18 55	19 28	20 08	20 50	0 29	82	S 44.2	S 44.3	−82
Apr. 1	4 07	4 49	5 28	6 01	12 29	18 57	19 30	20 10	20 52	0 29	82	S 44.6	S 44.6	−81
Apr. 2	4 04	4 46	5 26	5 59	12 28	18 59	19 32	20 11	20 54	0 28	81	S 45.0	S 45.0	−81
Apr. 3	4 02	4 44	5 24	5 57	12 28	19 00	19 33	20 13	20 56	0 28	81	S 45.4	S 45.4	−80
Apr. 4	3 59	4 42	5 22	5 55	12 28	19 02	19 35	20 15	20 58	0 28	80	S 45.8	S 45.8	−80
Apr. 5	3 56	4 39	5 19	5 53	12 27	19 03	19 37	20 17	21 00	0 28	79	S 46.2	S 46.2	−79
Apr. 6	3 53	4 37	5 17	5 50	12 27	19 05	19 38	20 19	21 02	0 27	79	S 46.5	S 46.5	−78
Apr. 7	3 51	4 34	5 15	5 48	12 27	19 06	19 40	20 21	21 05	0 27	78	S 46.9	S 46.9	−78
Apr. 8	3 48	4 32	5 13	5 46	12 27	19 08	19 42	20 23	21 07	0 27	78	S 47.3	S 47.3	−77
Apr. 9	3 45	4 30	5 10	5 44	12 26	19 10	19 43	20 24	21 09	0 26	77	S 47.7	S 47.7	−77
Apr. 10	3 42	4 27	5 08	5 42	12 26	19 11	19 45	20 26	21 11	0 26	76	S 48.0	S 48.0	−76
Apr. 11	3 40	4 25	5 06	5 40	12 26	19 13	19 47	20 28	21 14	0 26	76	S 48.4	S 48.4	−75
Apr. 12	3 37	4 22	5 04	5 38	12 25	19 14	19 48	20 30	21 16	0 26	75	S 48.8	S 48.8	−75
Apr. 13	3 34	4 20	5 02	5 36	12 25	19 16	19 50	20 32	21 18	0 25	75	S 49.1	S 49.1	−74
Apr. 14	3 31	4 17	4 59	5 34	12 25	19 18	19 52	20 34	21 21	0 25	74	S 49.5	S 49.5	−74
Apr. 15	3 28	4 15	4 57	5 31	12 25	19 19	19 54	20 36	21 23	0 25	73	S 49.8	S 49.9	−73
Apr. 16	3 25	4 13	4 55	5 29	12 25	19 21	19 55	20 38	21 26	0 25	73	S 50.2	S 50.2	−73
Apr. 17	3 23	4 10	4 53	5 27	12 24	19 22	19 57	20 40	21 28	0 24	72	S 50.5	S 50.6	−72
Apr. 18	3 20	4 08	4 51	5 25	12 24	19 24	19 59	20 42	21 30	0 24	72	S 50.9	S 50.9	−71
Apr. 19	3 17	4 05	4 49	5 23	12 24	19 25	20 00	20 44	21 33	0 24	71	S 51.2	S 51.3	−71
Apr. 20	3 14	4 03	4 46	5 21	12 24	19 27	20 02	20 46	21 36	0 24	71	S 51.6	S 51.6	−70
Apr. 21	3 11	4 01	4 44	5 19	12 23	19 29	20 04	20 48	21 38	0 24	70	S 51.9	S 51.9	−70
Apr. 22	3 08	3 58	4 42	5 17	12 23	19 30	20 05	20 50	21 41	0 23	70	S 52.3	S 52.3	−69
Apr. 23	3 05	3 56	4 40	5 15	12 23	19 32	20 07	20 52	21 43	0 23	69	S 52.6	S 52.6	−69
Apr. 24	3 02	3 53	4 38	5 14	12 23	19 33	20 09	20 54	21 46	0 23	68	S 52.9	S 52.9	−68
Apr. 25	2 59	3 51	4 36	5 12	12 23	19 35	20 11	20 56	21 49	0 23	68	S 53.2	S 53.3	−68
Apr. 26	2 56	3 49	4 34	5 10	12 23	19 36	20 12	20 58	21 51	0 23	67	S 53.6	S 53.6	−67
Apr. 27	2 53	3 46	4 32	5 08	12 22	19 38	20 14	21 00	21 54	0 22	67	S 53.9	S 53.9	−67
Apr. 28	2 50	3 44	4 30	5 06	12 22	19 39	20 16	21 02	21 57	0 22	66	S 54.2	S 54.2	−66
Apr. 29	2 47	3 42	4 28	5 04	12 22	19 41	20 18	21 04	22 00	0 22	66	S 54.5	S 54.5	−66
Apr. 30	2 44	3 39	4 26	5 02	12 22	19 43	20 19	21 06	22 03	0 22	65	S 54.8	S 54.8	−65
May 1	2 41	3 37	4 24	5 01	12 22	19 44	20 21	21 08	22 06	0 22	65	S 55.1	S 55.1	−65
May 2	2 37	3 35	4 22	4 59	12 22	19 46	20 23	21 10	22 08	0 22	64	S 55.4	S 55.4	−64
May 3	2 34	3 32	4 20	4 57	12 22	19 47	20 24	21 13	22 11	0 22	64	S 55.7	S 55.7	−64
May 4	2 31	3 30	4 18	4 55	12 22	19 49	20 26	21 15	22 15	0 22	63	S 56.0	S 56.0	−63
May 5	2 28	3 28	4 16	4 54	12 21	19 50	20 28	21 17	22 18	0 21	63	S 56.3	S 56.3	−63
May 6	2 25	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
May 7	2 21	3 23	4 12	4 50	12 21	19 53	20 31	21 21	22 24	0 21	62	S 56.8	S 56.9	−62
May 8	2 18	3 21	4 11	4 49	12 21	19 55	20 33	21 23	22 27	0 21	62	S 57.1	S 57.1	−61
May 9	2 15	3 19	4 09	4 47	12 21	19 56	20 35	21 25	22 30	0 21	61	S 57.4	S 57.4	−61
May 10	2 11	3 17	4 07	4 46	12 21	19 58	20 36	21 27	22 34	0 21	61	S 57.6	S 57.7	−60
May 11	2 08	3 14	4 05	4 44	12 21	19 59	20 38	21 30	22 37	0 21	60	S 57.9	S 57.9	−60
May 12	2 05	3 12	4 04	4 43	12 21	20 01	20 40	21 32	22 41	0 21	60	S 58.1	S 58.2	−59
May 13	2 01	3 10	4 02	4 41	12 21	20 02	20 41	21 34	22 44	0 21	59	S 58.4	S 58.4	−59
May 14	1 58	3 08	4 00	4 40	12 21	20 04	20 43	21 36	22 48	0 21	59	S 58.6	S 58.6	−59
May 15	1 54	3 06	3 59	4 38	12 21	20 05	20 45	21 38	22 51	0 21	58	S 58.9	S 58.9	−58
May 16	1 51	3 04	3 57	4 37	12 21	20 06	20 46	21 40	22 55	0 21	58	S 59.1	S 59.1	−58
May 17	1 47	3 02	3 56	4 36	12 21	20 08	20 48	21 42	22 59	0 21	58	S 59.3	S 59.3	−57
May 18	1 43	3 00	3 54	4 34	12 21	20 09	20 50	21 44	23 03	0 21	57	S 59.5	S 59.6	−57
May 19	1 39	2 58	3 53	4 33	12 21	20 10	20 51	21 46	23 07	0 21	57	S 59.8	S 59.8	−57
May 20	1 35	2 56	3 51	4 32	12 21	20 12	20 53	21 48	23 11	0 21	57	S 60.0	S 60.0	−56
May 21	1 31	2 54	3 50	4 31	12 21	20 13	20 54	21 50	23 15	0 21	56	S 60.2	S 60.2	−56
May 22	1 27	2 52	3 48	4 29	12 21	20 14	20 56	21 52	23 20	0 21	56	S 60.4	S 60.4	−56
May 23	1 23	2 50	3 47	4 28	12 22	20 16	20 57	21 54	23 24	0 22	55	S 60.6	S 60.6	−55
May 24	1 18	2 49	3 46	4 27	12 22	20 17	20 59	21 56	23 29	0 22	55	S 60.7	S 60.8	−55
May 25	1 14	2 47	3 45	4 26	12 22	20 18	21 00	21 58	23 35	0 22	55	S 60.9	S 60.9	−55
May 26	1 09	2 45	3 43	4 25	12 22	20 19	21 01	22 00	23 40	0 22	55	S 61.1	S 61.1	−54
May 27	1 03	2 44	3 42	4 24	12 22	20 20	21 03	22 02	23 47	0 22	54	S 61.3	S 61.3	−54
May 28	0 57	2 42	3 41	4 23	12 22	20 22	21 04	22 04	23 54	0 22	54	S 61.4	S 61.4	−54
May 29	0 50	2 40	3 40	4 22	12 22	20 23	21 05	22 05		0 22	54	S 61.6	S 61.6	−53
May 30	0 40	2 39	3 39	4 22	12 22	20 24	21 07	22 07	0 04	0 22	53	S 61.7	S 61.7	−53
May 31	////	2 37	3 38	4 21	12 23	20 25	21 08	22 09	−18.0	0 22	53	S 61.9	S 61.9	−53
June 1	////	2 36	3 37	4 20	12 23	20 26	21 09	22 10	−17.8	0 23	53	S 62.0	S 62.0	−53
June 2	////	2 35	3 36	4 19	12 23	20 27	21 10	22 12	−17.7	0 23	53	S 62.1	S 62.1	−52
June 3	////	2 34	3 35	4 19	12 23	20 28	21 11	22 14	−17.6	0 23	52	S 62.3	S 62.3	−52
June 4	////	2 32	3 35	4 18	12 23	20 29	21 12	22 15	−17.4	0 23	52	S 62.4	S 62.4	−52
June 5	////	2 31	3 34	4 17	12 23	20 30	21 13	22 17	−17.3	0 23	52	S 62.5	S 62.5	−52
June 6	////	2 30	3 33	4 17	12 24	20 31	21 14	22 18	−17.2	0 23	52	S 62.6	S 62.6	−52
June 7	////	2 29	3 33	4 16	12 24	20 31	21 15	22 19	−17.1	0 24	52	S 62.7	S 62.7	−51
June 8	////	2 28	3 32	4 16	12 24	20 32	21 16	22 20	−17.0	0 24	51	S 62.8	S 62.8	−51
June 9	////	2 27	3 32	4 16	12 24	20 33	21 17	22 22	−16.9	0 24	51	S 62.9	S 62.9	−51
June 10	////	2 27	3 31	4 15	12 24	20 34	21 18	22 23	−16.9	0 24	51	S 62.9	S 62.9	−51
June 11	////	2 26	3 31	4 15	12 24	20 34	21 19	22 24	−16.8	0 24	51	S 63.0	S 63.0	−51
June 12	////	2 25	3 30	4 15	12 25	20 35	21 19	22 25	−16.7	0 25	51	S 63.1	S 63.1	−51
June 13	////	2 25	3 30	4 15	12 25	20 35	21 20	22 26	−16.7	0 25	51	S 63.1	S 63.1	−51
June 14	////	2 24	3 30	4 14	12 25	20 36	21 21	22 26	−16.6	0 25	51	S 63.2	S 63.2	−51
June 15	////	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
June 16	////	2 24	3 30	4 14	12 26	20 37	21 22	22 28	−16.5	0 25	51	S 63.2	S 63.3	−50
June 17	////	2 24	3 30	4 14	12 26	20 37	21 22	22 28	−16.5	0 26	50	S 63.3	S 63.3	−50
June 18	////	2 23	3 30	4 14	12 26	20 38	21 22	22 29	−16.5	0 26	50	S 63.3	S 63.3	−50
June 19	////	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
June 20	////	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
June 21	////	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
June 22	////	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
June 23	////	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
June 24	////	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
June 25	////	2 25	3 31	4 16	12 28	20 39	21 24	22 29	−16.5	0 27	50	S 63.3	S 63.3	−51
June 26	////	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
June 27	////	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
June 28	////	2 27	3 33	4 17	12 28	20 39	21 23	22 28	−16.6	0 28	51	S 63.1	S 63.1	−51
June 29	////	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
June 30	////	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	////	2 30	3 35	4 19	12 29	20 38	21 22	22 27	−16.8	0 29	51	S 63.0	S 63.0	−51
July 2	////	2 31	3 36	4 20	12 29	20 38	21 22	22 26	−16.8	0 29	51	S 62.9	S 62.9	−51
July 3	////	2 32	3 37	4 21	12 29	20 37	21 21	22 25	−16.9	0 29	51	S 62.8	S 62.8	−51
July 4	////	2 33	3 37	4 21	12 29	20 37	21 21	22 24	−17.0	0 29	51	S 62.7	S 62.7	−52
July 5	////	2 35	3 38	4 22	12 29	20 36	21 20	22 23	−17.1	0 29	52	S 62.6	S 62.6	−52
July 6	////	2 36	3 39	4 23	12 30	20 36	21 19	22 22	−17.2	0 30	52	S 62.5	S 62.5	−52
July 7	////	2 38	3 40	4 24	12 30	20 35	21 19	22 21	−17.3	0 30	52	S 62.4	S 62.4	−52
July 8	////	2 39	3 41	4 25	12 30	20 35	21 18	22 20	−17.4	0 30	52	S 62.3	S 62.3	−52
July 9	////	2 40	3 42	4 26	12 30	20 34	21 17	22 19	−17.5	0 30	52	S 62.2	S 62.2	−53
July 10	////	2 42	3 44	4 27	12 30	20 33	21 16	22 17	−17.7	0 30	53	S 62.0	S 62.1	−53
July 11	////	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
July 12	////	2 45	3 46	4 29	12 30	20 32	21 14	22 14	−17.9	0 30	53	S 61.8	S 61.8	−53
July 13	0 44	2 47	3 47	4 30	12 31	20 31	21 13	22 13	0 17	0 31	53	S 61.6	S 61.6	−54
July 14 {	0 56	2 49	3 48	4 31	12 31	20 30	21 12	22 11	0 06	0 31	54	S 61.5	S 61.5	−54
July 14 {									23 58
July 15	1 04	2 50	3 50	4 32	12 31	20 29	21 11	22 10	23 52	0 31	54	S 61.3	S 61.3	−54
July 16	1 10	2 52	3 51	4 33	12 31	20 28	21 10	22 08	23 46	0 31	54	S 61.2	S 61.2	−54
July 17	1 16	2 54	3 52	4 34	12 31	20 27	21 09	22 06	23 41	0 31	55	S 61.0	S 61.0	−55
July 18	1 22	2 56	3 54	4 35	12 31	20 26	21 07	22 05	23 36	0 31	55	S 60.8	S 60.8	−55
July 19	1 27	2 58	3 55	4 37	12 31	20 25	21 06	22 03	23 31	0 31	55	S 60.6	S 60.6	−55
July 20	1 31	3 00	3 57	4 38	12 31	20 24	21 05	22 01	23 27	0 31	55	S 60.4	S 60.5	−56
July 21	1 36	3 02	3 58	4 39	12 31	20 23	21 03	21 59	23 23	0 31	56	S 60.2	S 60.3	−56
July 22	1 40	3 04	3 59	4 40	12 31	20 21	21 02	21 57	23 19	0 31	56	S 60.0	S 60.1	−56
July 23	1 44	3 06	4 01	4 42	12 31	20 20	21 01	21 55	23 15	0 31	57	S 59.8	S 59.9	−57
July 24	1 48	3 08	4 02	4 43	12 31	20 19	20 59	21 54	23 11	0 31	57	S 59.6	S 59.6	−57
July 25	1 52	3 10	4 04	4 44	12 31	20 18	20 58	21 52	23 07	0 31	57	S 59.4	S 59.4	−58
July 26	1 56	3 12	4 06	4 46	12 31	20 16	20 56	21 49	23 03	0 31	58	S 59.2	S 59.2	−58
July 27	2 00	3 14	4 07	4 47	12 31	20 15	20 54	21 47	23 00	0 31	58	S 59.0	S 59.0	−58
July 28	2 03	3 16	4 09	4 48	12 31	20 13	20 53	21 45	22 56	0 31	58	S 58.7	S 58.8	−59
July 29	2 07	3 18	4 10	4 50	12 31	20 12	20 51	21 43	22 53	0 31	59	S 58.5	S 58.5	−59
July 30	2 10	3 20	4 12	4 51	12 31	20 10	20 49	21 41	22 49	0 31	59	S 58.3	S 58.3	−60
July 31	2 14	3 22	4 13	4 52	12 31	20 09	20 48	21 39	22 46	0 31	60	S 58.0	S 58.0	−60
Aug. 1	2 17	3 24	4 15	4 54	12 31	20 07	20 46	21 37	22 42	0 31	60	S 57.8	S 57.8	−60
Aug. 2	2 20	3 26	4 17	4 55	12 31	20 06	20 44	21 35	22 39	0 31	61	S 57.5	S 57.5	−61
Aug. 3	2 24	3 28	4 18	4 57	12 31	20 04	20 42	21 32	22 36	0 31	61	S 57.2	S 57.3	−61
Aug. 4	2 27	3 30	4 20	4 58	12 31	20 03	20 41	21 30	22 32	0 31	61	S 57.0	S 57.0	−62
Aug. 5	2 30	3 32	4 22	5 00	12 31	20 01	20 39	21 28	22 29	0 31	62	S 56.7	S 56.7	−62
Aug. 6	2 33	3 34	4 23	5 01	12 31	19 59	20 37	21 26	22 26	0 31	62	S 56.4	S 56.4	−63
Aug. 7	2 36	3 36	4 25	5 03	12 31	19 58	20 35	21 23	22 23	0 31	63	S 56.2	S 56.2	−63
Aug. 8	2 39	3 38	4 27	5 04	12 30	19 56	20 33	21 21	22 19	0 30	63	S 55.9	S 55.9	−64
Aug. 9	2 42	3 40	4 28	5 05	12 30	19 54	20 31	21 19	22 16	0 30	64	S 55.6	S 55.6	−64
Aug. 10	2 45	3 42	4 30	5 07	12 30	19 52	20 29	21 16	22 13	0 30	64	S 55.3	S 55.3	−65
Aug. 11	2 48	3 44	4 32	5 08	12 30	19 51	20 27	21 14	22 10	0 30	65	S 55.0	S 55.0	−65
Aug. 12	2 50	3 46	4 33	5 10	12 30	19 49	20 25	21 12	22 07	0 30	65	S 54.7	S 54.7	−66
Aug. 13	2 53	3 48	4 35	5 11	12 30	19 47	20 23	21 09	22 04	0 30	66	S 54.4	S 54.4	−66
Aug. 14	2 56	3 50	4 37	5 13	12 29	19 45	20 21	21 07	22 01	0 30	66	S 54.1	S 54.1	−67
Aug. 15	2 59	3 52	4 38	5 14	12 29	19 43	20 19	21 04	21 58	0 29	67	S 53.8	S 53.8	−67
Aug. 16	3 01	3 54	4 40	5 16	12 29	19 41	20 17	21 02	21 55	0 29	67	S 53.5	S 53.5	−68
Aug. 17	3 04	3 56	4 42	5 17	12 29	19 39	20 15	21 00	21 52	0 29	68	S 53.1	S 53.1	−68
Aug. 18	3 06	3 58	4 43	5 19	12 29	19 37	20 13	20 57	21 49	0 29	68	S 52.8	S 52.8	−69
Aug. 19	3 09	4 00	4 45	5 20	12 28	19 35	20 11	20 55	21 46	0 28	69	S 52.5	S 52.5	−69
Aug. 20	3 12	4 02	4 46	5 22	12 28	19 33	20 09	20 53	21 43	0 28	69	S 52.2	S 52.2	−70
Aug. 21	3 14	4 04	4 48	5 23	12 28	19 31	20 06	20 50	21 40	0 28	70	S 51.8	S 51.8	−70
Aug. 22	3 17	4 06	4 50	5 25	12 28	19 29	20 04	20 48	21 37	0 28	71	S 51.5	S 51.5	−71
Aug. 23	3 19	4 08	4 51	5 26	12 27	19 27	20 02	20 45	21 34	0 27	71	S 51.1	S 51.2	−71
Aug. 24	3 21	4 10	4 53	5 28	12 27	19 25	20 00	20 43	21 31	0 27	72	S 50.8	S 50.8	−72
Aug. 25	3 24	4 12	4 55	5 29	12 27	19 23	19 58	20 40	21 28	0 27	72	S 50.5	S 50.5	−72
Aug. 26	3 26	4 14	4 56	5 31	12 27	19 21	19 56	20 38	21 25	0 27	73	S 50.1	S 50.1	−73
Aug. 27	3 28	4 16	4 58	5 32	12 26	19 19	19 53	20 35	21 22	0 26	73	S 49.8	S 49.8	−74
Aug. 28	3 31	4 17	5 00	5 34	12 26	19 17	19 51	20 33	21 19	0 26	74	S 49.4	S 49.4	−74
Aug. 29	3 33	4 19	5 01	5 35	12 26	19 15	19 49	20 31	21 16	0 26	74	S 49.1	S 49.1	−75
Aug. 30	3 35	4 21	5 03	5 37	12 25	19 13	19 47	20 28	21 14	0 25	75	S 48.7	S 48.7	−75
Aug. 31	3 38	4 23	5 04	5 38	12 25	19 11	19 45	20 26	21 11	0 25	76	S 48.3	S 48.3	−76
Sep. 1	3 40	4 25	5 06	5 40	12 25	19 09	19 42	20 23	21 08	0 25	76	S 48.0	S 48.0	−76
Sep. 2	3 42	4 27	5 08	5 41	12 24	19 06	19 40	20 21	21 05	0 25	77	S 47.6	S 47.6	−77
Sep. 3	3 44	4 28	5 09	5 43	12 24	19 04	19 38	20 18	21 02	0 24	77	S 47.2	S 47.3	−78
Sep. 4	3 46	4 30	5 11	5 44	12 24	19 02	19 36	20 16	21 00	0 24	78	S 46.9	S 46.9	−78
Sep. 5	3 48	4 32	5 12	5 46	12 23	19 00	19 33	20 13	20 57	0 24	78	S 46.5	S 46.5	−79
Sep. 6	3 50	4 34	5 14	5 47	12 23	18 58	19 31	20 11	20 54	0 23	79	S 46.1	S 46.1	−79
Sep. 7	3 52	4 35	5 16	5 49	12 23	18 56	19 29	20 09	20 51	0 23	80	S 45.8	S 45.8	−80
Sep. 8	3 54	4 37	5 17	5 50	12 22	18 53	19 26	20 06	20 49	0 23	80	S 45.4	S 45.4	−81
Sep. 9	3 56	4 39	5 19	5 52	12 22	18 51	19 24	20 04	20 46	0 22	81	S 45.0	S 45.0	−81
Sep. 10	3 58	4 41	5 20	5 53	12 22	18 49	19 22	20 01	20 43	0 22	81	S 44.6	S 44.6	−82
Sep. 11	4 00	4 42	5 22	5 55	12 21	18 47	19 20	19 59	20 41	0 21	82	S 44.2	S 44.3	−82
Sep. 12	4 02	4 44	5 23	5 56	12 21	18 45	19 17	19 57	20 38	0 21	83	S 43.9	S 43.9	−83
Sep. 13	4 04	4 46	5 25	5 58	12 21	18 43	19 15	19 54	20 35	0 21	83	S 43.5	S 43.5	−84
Sep. 14	4 06	4 47	5 27	5 59	12 20	18 40	19 13	19 52	20 33	0 20	84	S 43.1	S 43.1	−84
Sep. 15	4 08	4 49	5 28	6 01	12 20	18 38	19 11	19 49	20 30	0 20	84	S 42.7	S 42.7	−85
Sep. 16	4 10	4 51	5 30	6 02	12 20	18 36	19 08	19 47	20 28	0 20	85	S 42.3	S 42.3	−85
Sep. 17	4 12	4 52	5 31	6 04	12 19	18 34	19 06	19 45	20 25	0 19	86	S 41.9	S 42.0	−86
Sep. 18	4 14	4 54	5 33	6 05	12 19	18 31	19 04	19 42	20 22	0 19	86	S 41.5	S 41.6	−87
Sep. 19	4 16	4 56	5 34	6 07	12 18	18 29	19 02	19 40	20 20	0 19	87	S 41.2	S 41.2	−87
Sep. 20	4 17	4 57	5 36	6 08	12 18	18 27	18 59	19 38	20 17	0 18	87	S 40.8	S 40.8	−88
Sep. 21	4 19	4 59	5 37	6 10	12 18	18 25	18 57	19 35	20 15	0 18	88	S 40.4	S 40.4	−88
Sep. 22	4 21	5 01	5 39	6 11	12 17	18 23	18 55	19 33	20 12	0 18	89	S 40.0	S 40.0	−89
Sep. 23	4 23	5 02	5 40	6 13	12 17	18 20	18 53	19 31	20 10	0 17	89	S 39.6	S 39.6	−90
Sep. 24	4 24	5 04	5 42	6 14	12 17	18 18	18 50	19 28	20 08	0 17	90	S 39.2	S 39.2	−90
Sep. 25	4 26	5 05	5 44	6 16	12 16	18 16	18 48	19 26	20 05	0 17	90	S 38.8	S 38.8	−91
Sep. 26	4 28	5 07	5 45	6 17	12 16	18 14	18 46	19 24	20 03	0 16	91	S 38.4	S 38.5	−91
Sep. 27	4 30	5 09	5 47	6 19	12 16	18 12	18 44	19 22	20 00	0 16	92	S 38.0	S 38.1	−92
Sep. 28	4 31	5 10	5 48	6 20	12 15	18 09	18 42	19 19	19 58	0 16	92	S 37.7	S 37.7	−93
Sep. 29	4 33	5 12	5 50	6 22	12 15	18 07	18 39	19 17	19 56	0 15	93	S 37.3	S 37.3	−93
Sep. 30	4 35	5 13	5 51	6 23	12 15	18 05	18 37	19 15	19 53	0 15	94	S 36.9	S 36.9	−94
Oct. 1	4 37	5 15	5 53	6 25	12 14	18 03	18 35	19 13	19 51	0 15	94	S 36.5	S 36.5	−94
Oct. 2	4 38	5 17	5 54	6 27	12 14	18 01	18 33	19 10	19 49	0 14	95	S 36.1	S 36.1	−95
Oct. 3	4 40	5 18	5 56	6 28	12 14	17 58	18 31	19 08	19 46	0 14	95	S 35.7	S 35.7	−96
Oct. 4	4 42	5 20	5 57	6 30	12 13	17 56	18 29	19 06	19 44	0 14	96	S 35.3	S 35.4	−96
Oct. 5	4 43	5 21	5 59	6 31	12 13	17 54	18 26	19 04	19 42	0 13	97	S 35.0	S 35.0	−97
Oct. 6	4 45	5 23	6 00	6 33	12 13	17 52	18 24	19 02	19 40	0 13	97	S 34.6	S 34.6	−97
Oct. 7	4 46	5 24	6 02	6 34	12 13	17 50	18 22	19 00	19 37	0 13	98	S 34.2	S 34.2	−98
Oct. 8	4 48	5 26	6 03	6 36	12 12	17 48	18 20	18 58	19 35	0 12	98	S 33.8	S 33.8	−99
Oct. 9	4 50	5 28	6 05	6 37	12 12	17 46	18 18	18 55	19 33	0 12	99	S 33.4	S 33.4	−99
Oct. 10	4 51	5 29	6 07	6 39	12 12	17 44	18 16	18 53	19 31	0 12	100	S 33.0	S 33.1	−100
Oct. 11	4 53	5 31	6 08	6 41	12 11	17 41	18 14	18 51	19 29	0 12	100	S 32.7	S 32.7	−100
Oct. 12	4 54	5 32	6 10	6 42	12 11	17 39	18 12	18 49	19 27	0 11	101	S 32.3	S 32.3	−101
Oct. 13	4 56	5 34	6 11	6 44	12 11	17 37	18 10	18 47	19 25	0 11	101	S 31.9	S 31.9	−102
Oct. 14	4 58	5 35	6 13	6 45	12 11	17 35	18 08	18 45	19 23	0 11	102	S 31.5	S 31.6	−102
Oct. 15	4 59	5 37	6 14	6 47	12 10	17 33	18 06	18 43	19 21	0 11	102	S 31.2	S 31.2	−103
Oct. 16	5 01	5 38	6 16	6 49	12 10	17 31	18 04	18 41	19 19	0 10	103	S 30.8	S 30.8	−103
Oct. 17	5 02	5 40	6 17	6 50	12 10	17 29	18 02	18 39	19 17	0 10	104	S 30.4	S 30.5	−104
Oct. 18	5 04	5 41	6 19	6 52	12 10	17 27	18 00	18 37	19 15	0 10	104	S 30.1	S 30.1	−104
Oct. 19	5 05	5 43	6 21	6 53	12 10	17 25	17 58	18 36	19 13	0 10	105	S 29.7	S 29.7	−105
Oct. 20	5 07	5 44	6 22	6 55	12 10	17 23	17 56	18 34	19 11	0 10	105	S 29.4	S 29.4	−106
Oct. 21	5 08	5 46	6 24	6 57	12 09	17 21	17 54	18 32	19 09	0 09	106	S 29.0	S 29.0	−106
Oct. 22	5 10	5 47	6 25	6 58	12 09	17 19	17 52	18 30	19 07	0 09	107	S 28.7	S 28.7	−107
Oct. 23	5 11	5 49	6 27	7 00	12 09	17 17	17 51	18 28	19 06	0 09	107	S 28.3	S 28.3	−107
Oct. 24	5 13	5 51	6 28	7 02	12 09	17 15	17 49	18 27	19 04	0 09	108	S 28.0	S 28.0	−108
Oct. 25	5 14	5 52	6 30	7 03	12 09	17 14	17 47	18 25	19 02	0 09	108	S 27.6	S 27.6	−108
Oct. 26	5 16	5 54	6 31	7 05	12 09	17 12	17 45	18 23	19 00	0 09	109	S 27.3	S 27.3	−109
Oct. 27	5 17	5 55	6 33	7 07	12 09	17 10	17 43	18 21	18 59	0 09	109	S 26.9	S 27.0	−110
Oct. 28	5 19	5 57	6 35	7 08	12 09	17 08	17 42	18 20	18 57	0 09	110	S 26.6	S 26.6	−110
Oct. 29	5 20	5 58	6 36	7 10	12 08	17 06	17 40	18 18	18 56	0 09	110	S 26.3	S 26.3	−111
Oct. 30	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 26.0	−111
Oct. 31	5 23	6 01	6 39	7 13	12 08	17 03	17 37	18 15	18 52	0 08	111	S 25.6	S 25.6	−112
Nov. 1	5 25	6 03	6 41	7 15	12 08	17 01	17 35	18 13	18 51	0 08	112	S 25.3	S 25.3	−112
Nov. 2	5 26	6 04	6 42	7 17	12 08	16 59	17 34	18 12	18 49	0 08	112	S 25.0	S 25.0	−113
Nov. 3	5 28	6 06	6 44	7 18	12 08	16 58	17 32	18 10	18 48	0 08	113	S 24.7	S 24.7	−113
Nov. 4	5 29	6 07	6 46	7 20	12 08	16 56	17 30	18 09	18 47	0 08	113	S 24.4	S 24.4	−114
Nov. 5	5 31	6 08	6 47	7 22	12 08	16 54	17 29	18 07	18 45	0 08	114	S 24.1	S 24.1	−114
Nov. 6	5 32	6 10	6 49	7 23	12 08	16 53	17 27	18 06	18 44	0 08	114	S 23.8	S 23.8	−115
Nov. 7	5 34	6 11	6 50	7 25	12 08	16 51	17 26	18 05	18 43	0 08	115	S 23.5	S 23.5	−115
Nov. 8	5 35	6 13	6 52	7 27	12 09	16 50	17 25	18 03	18 41	0 08	115	S 23.2	S 23.2	−116
Nov. 9	5 36	6 14	6 53	7 28	12 09	16 48	17 23	18 02	18 40	0 09	116	S 22.9	S 22.9	−116
Nov. 10	5 38	6 16	6 55	7 30	12 09	16 47	17 22	18 01	18 39	0 09	116	S 22.6	S 22.6	−117
Nov. 11	5 39	6 17	6 56	7 32	12 09	16 45	17 21	18 00	18 38	0 09	117	S 22.3	S 22.4	−117
Nov. 12	5 41	6 19	6 58	7 33	12 09	16 44	17 19	17 59	18 37	0 09	117	S 22.1	S 22.1	−117
Nov. 13	5 42	6 20	6 59	7 35	12 09	16 43	17 18	17 57	18 35	0 09	118	S 21.8	S 21.8	−118
Nov. 14	5 43	6 22	7 01	7 37	12 09	16 41	17 17	17 56	18 34	0 09	118	S 21.5	S 21.6	−118
Nov. 15	5 45	6 23	7 02	7 38	12 09	16 40	17 16	17 55	18 33	0 09	119	S 21.3	S 21.3	−119
Nov. 16	5 46	6 24	7 04	7 40	12 10	16 39	17 15	17 54	18 32	0 09	119	S 21.0	S 21.1	−119
Nov. 17	5 47	6 26	7 05	7 41	12 10	16 38	17 14	17 53	18 31	0 10	119	S 20.8	S 20.8	−120
Nov. 18	5 49	6 27	7 07	7 43	12 10	16 36	17 12	17 52	18 31	0 10	120	S 20.5	S 20.6	−120
Nov. 19	5 50	6 29	7 08	7 45	12 10	16 35	17 11	17 51	18 30	0 10	120	S 20.3	S 20.4	−120
Nov. 20	5 51	6 30	7 10	7 46	12 10	16 34	17 11	17 50	18 29	0 10	121	S 20.1	S 20.1	−121
Nov. 21	5 53	6 31	7 11	7 48	12 11	16 33	17 10	17 50	18 28	0 11	121	S 19.9	S 19.9	−121
Nov. 22	5 54	6 33	7 13	7 49	12 11	16 32	17 09	17 49	18 27	0 11	121	S 19.6	S 19.7	−122
Nov. 23	5 55	6 34	7 14	7 51	12 11	16 31	17 08	17 48	18 27	0 11	122	S 19.4	S 19.5	−122
Nov. 24	5 56	6 35	7 15	7 52	12 12	16 30	17 07	17 47	18 26	0 11	122	S 19.2	S 19.3	−122
Nov. 25	5 58	6 36	7 17	7 54	12 12	16 29	17 06	17 47	18 25	0 12	122	S 19.0	S 19.1	−123
Nov. 26	5 59	6 38	7 18	7 55	12 12	16 29	17 06	17 46	18 25	0 12	123	S 18.9	S 18.9	−123
Nov. 27	6 00	6 39	7 20	7 57	12 12	16 28	17 05	17 46	18 24	0 12	123	S 18.7	S 18.7	−123
Nov. 28	6 01	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
Nov. 29	6 02	6 41	7 22	7 59	12 13	16 26	17 04	17 45	18 23	0 13	124	S 18.3	S 18.4	−124
Nov. 30	6 04	6 43	7 23	8 01	12 14	16 26	17 03	17 44	18 23	0 13	124	S 18.2	S 18.2	−124
Dec. 1	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 18.1	−124
Dec. 2	6 06	6 45	7 26	8 03	12 14	16 25	17 02	17 43	18 22	0 14	125	S 17.9	S 17.9	−125
Dec. 3	6 07	6 46	7 27	8 05	12 15	16 24	17 02	17 43	18 22	0 14	125	S 17.7	S 17.8	−125
Dec. 4	6 08	6 47	7 28	8 06	12 15	16 24	17 02	17 43	18 22	0 15	125	S 17.6	S 17.6	−125
Dec. 5	6 09	6 48	7 29	8 07	12 15	16 23	17 01	17 43	18 22	0 15	125	S 17.5	S 17.5	−125
Dec. 6	6 10	6 49	7 30	8 08	12 16	16 23	17 01	17 42	18 22	0 16	125	S 17.3	S 17.4	−126
Dec. 7	6 11	6 50	7 31	8 10	12 16	16 23	17 01	17 42	18 21	0 16	126	S 17.2	S 17.3	−126
Dec. 8	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 17.2	−126
Dec. 9	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
Dec. 10	6 14	6 53	7 34	8 13	12 18	16 22	17 01	17 42	18 21	0 17	126	S 16.9	S 17.0	−126
Dec. 11	6 14	6 54	7 35	8 14	12 18	16 22	17 01	17 42	18 22	0 18	126	S 16.8	S 16.9	−126
Dec. 12	6 15	6 55	7 36	8 15	12 19	16 22	17 01	17 42	18 22	0 18	126	S 16.8	S 16.8	−127
Dec. 13	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 16.8	−127
Dec. 14	6 17	6 56	7 38	8 16	12 20	16 22	17 01	17 43	18 22	0 19	127	S 16.6	S 16.7	−127
Dec. 15	6 18	6 57	7 39	8 17	12 20	16 23	17 01	17 43	18 22	0 20	127	S 16.6	S 16.6	−127
Dec. 16	6 18	6 58	7 40	8 18	12 20	16 23	17 01	17 43	18 23	0 20	127	S 16.5	S 16.6	−127
Dec. 17	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
Dec. 18	6 20	6 59	7 41	8 20	12 21	16 23	17 02	17 44	18 23	0 21	127	S 16.5	S 16.5	−127
Dec. 19	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
Dec. 20	6 21	7 00	7 42	8 21	12 22	16 24	17 03	17 45	18 24	0 22	127	S 16.5	S 16.5	−127
Dec. 21	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
Dec. 22	6 22	7 01	7 43	8 22	12 23	16 25	17 04	17 46	18 25	0 23	127	S 16.4	S 16.5	−127
Dec. 23	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
Dec. 24	6 23	7 02	7 44	8 23	12 24	16 26	17 05	17 47	18 26	0 24	127	S 16.5	S 16.5	−127
Dec. 25	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
Dec. 26	6 23	7 03	7 45	8 23	12 25	16 28	17 06	17 48	18 28	0 25	127	S 16.5	S 16.6	−127
Dec. 27	6 24	7 03	7 45	8 23	12 26	16 28	17 07	17 49	18 28	0 26	127	S 16.6	S 16.6	−127
Dec. 28	6 24	7 03	7 45	8 24	12 26	16 29	17 08	17 49	18 29	0 26	127	S 16.6	S 16.7	−127
Dec. 29	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 16.7	−127
Dec. 30	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	−127
Dec. 31	6 25	7 04	7 45	8 24	12 28	16 32	17 10	17 52	18 31	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:

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