Almanac 2057

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Calendar · Principal phenomena of the Sun and the Moon · Risings and settings of the planets · Planetary phenomena · Planetenary magnitudes, phases and diameters · Declinations · Meridian passages · Rings of Saturn · Planet distances · Nutation in obliquity · Heliocentric positions

Calendar 2057

January · February · March · April · May · June · July · August · September · October · November · December

Legend

Bold	Equinox or solstice
Grey	New Moon
Light grey	First quarter Moon, full Moon or third quarter Moon

Sun · Phases of the Moon · Moon apsides · Lunar nodes · Maximum declinations of the Moon · Distance of the Moon

Sun 2057

		d	h
Perigee:	Jan.	3	04
Apogee:	Jul.	4	17

		d	h	m		d	h	m
Equinoxes:	Mar.	20	03	08	Sep.	22	12	23
Solstices:	Jun.	20	20	19	Dec.	21	09	42

Phases of the Moon 2057

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	5	09	53	Jan.	12	15	34	Jan.	20	20	05	Jan.	28	03	44
Feb.	3	22	15	Feb.	11	12	25	Feb.	19	12	01	Feb.	26	11	30
Mar.	5	11	29	Mar.	13	09	35	Mar.	21	00	49	Mar.	27	18	39
Apr.	4	01	36	Apr.	12	04	59	Apr.	19	10	54	Apr.	26	02	06
May	3	16	36	May	11	21	07	May	18	19	07	May	25	10	40
Jun.	2	08	15	Jun.	10	09	30	Jun.	17	02	23	Jun.	23	21	08
Jul.	1	23	52	Jul.	9	18	37	Jul.	16	09	33	Jul.	23	10	09
Jul.	31	14	36	Aug.	8	01	30	Aug.	14	17	26	Aug.	22	02	02
Aug.	30	03	59	Sep.	6	07	18	Sep.	13	02	58	Sep.	20	20	26
Sep.	28	16	04	Oct.	5	13	13	Oct.	12	15	06	Oct.	20	16	09
Oct.	28	03	23	Nov.	3	20	24	Nov.	11	06	29	Nov.	19	11	31
Nov.	26	14	27	Dec.	3	05	54	Dec.	11	00	51	Dec.	19	05	02
Dec.	26	01	27

Apsides of the Moon 2057

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
Jan.	3	20	360 813	56.570	Jan.	15	18	405 201	63.530
Jan.	31	19	366 305	57.431	Feb.	12	14	404 413	63.406
Feb.	26	16	370 209	58.043	Mar.	12	11	404 317	63.391
Mar.	24	08	366 569	57.473	Apr.	9	06	404 995	63.497
Apr.	21	05	361 374	56.658	May	6	20	405 918	63.642
May	19	12	357 925	56.118	Jun.	3	02	406 458	63.727
Jun.	16	22	357 133	55.993	Jun.	30	06	406 330	63.707
Jul.	15	07	359 099	56.302	Jul.	27	16	405 560	63.586
Aug.	12	11	363 289	56.958	Aug.	24	08	404 602	63.436
Sep.	8	20	368 285	57.742	Sep.	21	02	404 132	63.362
Oct.	3	20	369 391	57.915	Oct.	18	22	404 514	63.422
Oct.	30	17	364 511	57.150	Nov.	15	17	405 448	63.568
Nov.	27	20	359 526	56.368	Dec.	13	06	406 203	63.687
Dec.	26	08	356 882	55.954

Passages of the Moon through the nodes 2057

Ascending				Descending
	d	h	m		d	h	m
				Jan.	5	04	48
Jan.	19	07	32	Feb.	1	14	12
Feb.	15	14	02	Feb.	28	18	40
Mar.	14	17	54	Mar.	27	19	15
Apr.	10	19	47	Apr.	23	20	52
May	7	22	15	May	21	03	05
Jun.	4	02	51	Jun.	17	13	09
Jul.	1	09	00	Jul.	14	23	47
Jul.	28	14	55	Aug.	11	07	29
Aug.	24	19	03	Sep.	7	10	33
Sep.	20	21	22	Oct.	4	10	59
Oct.	17	23	40	Oct.	31	13	39
Nov.	14	04	02	Nov.	27	21	30
Dec.	11	10	22	Dec.	25	08	49

Maximum declinations of the Moon 2057

North					South
	d	h	m	Dec °		d	h	m	Dec °
					Jan.	5	04	44	−22.9
Jan.	19	07	12	+22.9	Feb.	1	14	09	−22.9
Feb.	15	14	48	+22.9	Feb.	28	20	38	−23.0
Mar.	14	22	49	+23.1	Mar.	28	01	43	−23.3
Apr.	11	06	46	+23.4	Apr.	24	07	55	−23.5
May	8	14	09	+23.6	May	21	16	36	−23.7
Jun.	4	20	48	+23.7	Jun.	18	03	11	−23.7
Jul.	2	02	53	+23.7	Jul.	15	13	52	−23.7
Jul.	29	08	54	+23.7	Aug.	11	22	51	−23.8
Aug.	25	15	27	+23.8	Sep.	8	05	28	−23.9
Sep.	21	22	51	+24.1	Oct.	5	10	39	−24.2
Oct.	19	06	50	+24.3	Nov.	1	16	37	−24.4
Nov.	15	14	41	+24.5	Nov.	29	01	11	−24.5
Dec.	12	21	41	+24.5	Dec.	26	12	09	−24.5

Distance from the Earth to the Moon in 2057

Mercury · Venus · Mars · Jupiter · Saturn · Uranus · Neptun

Mercury 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	5 04	10 35	16 05		5 22	10 35	15 47		5 44	10 35	15 25		6 15	10 35	14 53		7 08	10 35	14 01
6	4 56	10 27	15 57		5 15	10 27	15 38		5 39	10 27	15 14		6 12	10 27	14 41		7 08	10 27	13 45
11	4 58	10 27	15 56		5 18	10 27	15 36		5 43	10 27	15 11		6 18	10 27	14 36		7 18	10 27	13 36
16	5 05	10 33	16 01		5 26	10 33	15 40		5 51	10 33	15 14		6 28	10 33	14 38		7 31	10 33	13 34
21	5 14	10 42	16 09		5 35	10 42	15 48		6 02	10 42	15 22		6 39	10 42	14 45		7 44	10 42	13 40
26	5 25	10 53	16 21		5 46	10 53	16 00		6 12	10 53	15 34		6 49	10 53	14 57		7 54	10 53	13 52
31	5 36	11 05	16 34		5 56	11 05	16 14		6 22	11 05	15 49		6 57	11 05	15 13		7 59	11 05	14 12
Feb. 5	5 47	11 18	16 49		6 06	11 18	16 30		6 30	11 18	16 07		7 03	11 18	15 34		7 59	11 18	14 38
10	5 58	11 32	17 06		6 15	11 32	16 49		6 37	11 32	16 28		7 06	11 32	15 58		7 55	11 32	15 09
15	6 08	11 46	17 24		6 23	11 46	17 09		6 42	11 46	16 51		7 07	11 46	16 26		7 48	11 46	15 45
20	6 18	12 00	17 43		6 30	12 00	17 31		6 45	12 00	17 16		7 06	12 00	16 56		7 38	12 00	16 24
25	6 28	12 15	18 03		6 37	12 15	17 54		6 48	12 15	17 43		7 03	12 15	17 29		7 26	12 15	17 06
Mar. 2	6 37	12 30	18 24		6 42	12 30	18 18		6 49	12 30	18 12		6 58	12 30	18 04		7 12	12 30	17 51
7	6 45	12 45	18 45		6 47	12 45	18 44		6 49	12 45	18 42		6 52	12 45	18 40		6 56	12 45	18 37
12	6 52	12 58	19 05		6 50	12 58	19 08		6 47	12 58	19 11		6 43	12 58	19 15		6 37	12 58	19 22
17	6 56	13 08	19 21		6 50	13 08	19 27		6 43	13 08	19 35		6 33	13 08	19 45		6 17	13 08	20 02
22	6 54	13 11	19 29		6 45	13 11	19 38		6 34	13 11	19 49		6 19	13 11	20 05		5 55	13 11	20 30
27	6 44	13 04	19 25		6 34	13 04	19 36		6 20	13 04	19 49		6 01	13 04	20 08		5 32	13 04	20 38
Apr. 1	6 26	12 47	19 07		6 15	12 47	19 19		6 01	12 47	19 33		5 41	12 47	19 52		5 10	12 47	20 24
6	6 01	12 20	18 38		5 51	12 20	18 48		5 38	12 20	19 01		5 20	12 20	19 19		4 51	12 20	19 47
11	5 33	11 48	18 03		5 24	11 48	18 11		5 14	11 48	18 21		4 59	11 48	18 35		4 36	11 48	18 58
16	5 06	11 17	17 29		5 00	11 17	17 35		4 52	11 17	17 42		4 41	11 17	17 53		4 24	11 17	18 09
21	4 44	10 53	17 01		4 39	10 53	17 06		4 34	10 53	17 11		4 26	10 53	17 19		4 14	10 53	17 31
26	4 28	10 35	16 43		4 24	10 35	16 46		4 19	10 35	16 51		4 13	10 35	16 57		4 03	10 35	17 07
May 1	4 16	10 24	16 32		4 13	10 24	16 36		4 08	10 24	16 41		4 02	10 24	16 47		3 52	10 24	16 57
6	4 10	10 19	16 29		4 05	10 19	16 34		3 59	10 19	16 39		3 52	10 19	16 47		3 40	10 19	17 00
11	4 06	10 19	16 31		4 00	10 19	16 37		3 53	10 19	16 45		3 43	10 19	16 56		3 27	10 19	17 12
16	4 06	10 22	16 38		3 58	10 22	16 47		3 48	10 22	16 57		3 35	10 22	17 11		3 14	10 22	17 33
21	4 09	10 30	16 50		3 59	10 30	17 01		3 46	10 30	17 14		3 28	10 30	17 33		3 00	10 30	18 02
26	4 16	10 41	17 07		4 03	10 41	17 21		3 47	10 41	17 37		3 24	10 41	18 01		2 47	10 41	18 39
31	4 27	10 58	17 29		4 11	10 58	17 45		3 51	10 58	18 06		3 22	10 58	18 35		2 36	10 58	19 24
Jun. 5	4 43	11 19	17 55		4 24	11 19	18 14		4 00	11 19	18 39		3 26	11 19	19 14		2 27	11 19	20 15
10	5 04	11 44	18 25		4 43	11 44	18 47		4 15	11 44	19 15		3 36	11 44	19 55		2 24	11 44	21 08
15	5 30	12 13	18 55		5 07	12 13	19 19		4 37	12 13	19 49		3 54	12 13	20 32		2 32	12 13	21 55
20	5 57	12 40	19 23		5 33	12 40	19 47		5 03	12 40	20 17		4 19	12 40	21 01		2 55	12 40	22 24
25	6 23	13 05	19 46		6 00	13 05	20 08		5 31	13 05	20 37		4 49	13 05	21 19		3 31	13 05	22 35
30	6 46	13 24	20 02		6 25	13 24	20 23		5 58	13 24	20 49		5 20	13 24	21 26		4 12	13 24	22 33
Jul. 5	7 05	13 39	20 12		6 46	13 39	20 31		6 22	13 39	20 54		5 49	13 39	21 27		4 52	13 39	22 22
10	7 19	13 48	20 18		7 03	13 48	20 33		6 42	13 48	20 53		6 14	13 48	21 21		5 27	13 48	22 06
15	7 28	13 53	20 18		7 14	13 53	20 31		6 57	13 53	20 47		6 34	13 53	21 10		5 56	13 53	21 47
20	7 32	13 53	20 13		7 21	13 53	20 24		7 07	13 53	20 37		6 48	13 53	20 56		6 18	13 53	21 25
25	7 30	13 47	20 04		7 21	13 47	20 12		7 10	13 47	20 23		6 55	13 47	20 38		6 31	13 47	21 01
30	7 22	13 35	19 49		7 14	13 35	19 56		7 05	13 35	20 05		6 53	13 35	20 17		6 34	13 35	20 35
Aug. 4	7 05	13 16	19 28		6 58	13 16	19 34		6 51	13 16	19 41		6 40	13 16	19 52		6 24	13 16	20 08
9	6 39	12 50	19 01		6 33	12 50	19 07		6 25	12 50	19 14		6 15	12 50	19 25		5 59	12 50	19 41
14	6 05	12 17	18 29		5 58	12 17	18 36		5 49	12 17	18 45		5 37	12 17	18 57		5 19	12 17	19 16
19	5 27	11 42	17 58		5 19	11 42	18 06		5 08	11 42	18 17		4 54	11 42	18 32		4 31	11 42	18 56
24	4 55	11 13	17 32		4 44	11 13	17 43		4 31	11 13	17 56		4 13	11 13	18 14		3 45	11 13	18 43
29	4 33	10 55	17 17		4 22	10 55	17 29		4 07	10 55	17 44		3 47	10 55	18 04		3 14	10 55	18 37
Sep. 3	4 27	10 50	17 13		4 15	10 50	17 25		4 00	10 50	17 40		3 39	10 50	18 01		3 05	10 50	18 34
8	4 34	10 55	17 17		4 22	10 55	17 28		4 08	10 55	17 42		3 49	10 55	18 01		3 18	10 55	18 31
13	4 49	11 08	17 26		4 40	11 08	17 35		4 29	11 08	17 46		4 13	11 08	18 01		3 48	11 08	18 25
18	5 09	11 23	17 36		5 03	11 23	17 41		4 55	11 23	17 49		4 44	11 23	17 59		4 27	11 23	18 15
23	5 29	11 37	17 44		5 26	11 37	17 47		5 22	11 37	17 50		5 17	11 37	17 55		5 09	11 37	18 02
28	5 48	11 50	17 52		5 49	11 50	17 51		5 49	11 50	17 50		5 49	11 50	17 50		5 50	11 50	17 48
Oct. 3	6 06	12 02	17 58		6 10	12 02	17 54		6 14	12 02	17 49		6 20	12 02	17 43		6 29	12 02	17 33
8	6 23	12 13	18 04		6 29	12 13	17 56		6 38	12 13	17 48		6 49	12 13	17 36		7 07	12 13	17 18
13	6 38	12 24	18 09		6 48	12 24	17 58		7 00	12 24	17 46		7 17	12 24	17 29		7 43	12 24	17 02
18	6 53	12 33	18 14		7 06	12 33	18 00		7 22	12 33	17 44		7 43	12 33	17 22		8 18	12 33	16 47
23	7 07	12 43	18 19		7 23	12 43	18 03		7 42	12 43	17 43		8 09	12 43	17 16		8 53	12 43	16 32
28	7 20	12 53	18 24		7 39	12 53	18 06		8 01	12 53	17 43		8 33	12 53	17 11		9 26	12 53	16 18
Nov. 2	7 33	13 02	18 30		7 53	13 02	18 10		8 19	13 02	17 44		8 55	13 02	17 08		9 57	13 02	16 06
7	7 44	13 10	18 35		8 06	13 10	18 13		8 34	13 10	17 46		9 13	13 10	17 06		10 24	13 10	15 55
12	7 52	13 16	18 40		8 15	13 16	18 17		8 44	13 16	17 47		9 26	13 16	17 05		10 43	13 16	15 48
17	7 55	13 18	18 41		8 19	13 18	18 17		8 48	13 18	17 47		9 31	13 18	17 04		10 51	13 18	15 44
22	7 48	13 11	18 34		8 12	13 11	18 11		8 41	13 11	17 41		9 23	13 11	16 59		10 41	13 11	15 42
27	7 26	12 50	18 14		7 48	12 50	17 52		8 16	12 50	17 24		8 55	12 50	16 45		10 06	12 50	15 34
Dec. 2	6 44	12 10	17 37		7 04	12 10	17 17		7 29	12 10	16 53		8 04	12 10	16 18		9 04	12 10	15 18
7	5 53	11 23	16 54		6 11	11 23	16 37		6 32	11 23	16 15		7 03	11 23	15 45		7 53	11 23	14 55
12	5 15	10 48	16 22		5 31	10 48	16 05		5 51	10 48	15 45		6 19	10 48	15 18		7 04	10 48	14 32
17	4 56	10 30	16 04		5 13	10 30	15 48		5 33	10 30	15 28		6 01	10 30	14 59		6 47	10 30	14 13
22	4 53	10 26	15 58		5 10	10 26	15 41		5 32	10 26	15 19		6 02	10 26	14 49		6 52	10 26	13 58
27	4 58	10 28	15 59		5 16	10 28	15 40		5 40	10 28	15 17		6 13	10 28	14 44		7 08	10 28	13 48
32	5 07	10 36	16 05		5 27	10 36	15 44		5 52	10 36	15 19		6 28	10 36	14 43		7 29	10 36	13 42

Venus 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	9 35	15 18	21 02		9 46	15 18	20 51		10 00	15 18	20 37		10 19	15 18	20 19		10 48	15 18	19 50
11	9 25	15 14	21 04		9 32	15 14	20 57		9 41	15 14	20 49		9 52	15 14	20 37		10 10	15 14	20 20
21	9 09	15 05	21 02		9 13	15 05	20 59		9 16	15 05	20 55		9 22	15 05	20 50		9 29	15 05	20 43
31	8 48	14 50	20 53		8 48	14 50	20 53		8 47	14 50	20 54		8 46	14 50	20 55		8 45	14 50	20 57
Feb. 10	8 19	14 26	20 34		8 15	14 26	20 38		8 11	14 26	20 42		8 05	14 26	20 49		7 55	14 26	20 59
20	7 40	13 51	20 02		7 34	13 51	20 08		7 27	13 51	20 15		7 17	13 51	20 25		7 02	13 51	20 41
Mar. 2	6 50	13 01	19 13		6 43	13 01	19 19		6 35	13 01	19 27		6 24	13 01	19 38		6 07	13 01	19 55
12	5 52	12 01	18 10		5 47	12 01	18 15		5 40	12 01	18 21		5 32	12 01	18 30		5 18	12 01	18 43
22	4 57	11 02	17 07		4 55	11 02	17 09		4 52	11 02	17 12		4 47	11 02	17 17		4 40	11 02	17 23
Apr. 1	4 15	10 16	16 17		4 15	10 16	16 17		4 14	10 16	16 17		4 14	10 16	16 17		4 13	10 16	16 17
11	3 45	9 44	15 43		3 46	9 44	15 42		3 47	9 44	15 40		3 49	9 44	15 39		3 52	9 44	15 36
21	3 24	9 24	15 23		3 25	9 24	15 22		3 27	9 24	15 20		3 29	9 24	15 18		3 32	9 24	15 16
May 1	3 10	9 11	15 12		3 10	9 11	15 12		3 10	9 11	15 12		3 10	9 11	15 12		3 11	9 11	15 12
11	2 59	9 03	15 08		2 57	9 03	15 09		2 55	9 03	15 12		2 52	9 03	15 14		2 48	9 03	15 19
21	2 50	8 59	15 08		2 46	8 59	15 12		2 41	8 59	15 17		2 35	8 59	15 24		2 24	8 59	15 34
31	2 44	8 57	15 11		2 37	8 57	15 17		2 29	8 57	15 26		2 17	8 57	15 37		2 00	8 57	15 56
Jun. 10	2 39	8 57	15 16		2 29	8 57	15 26		2 17	8 57	15 38		2 01	8 57	15 55		1 35	8 57	16 21
20	2 36	9 00	15 24		2 24	9 00	15 36		2 08	9 00	15 52		1 47	9 00	16 14		1 12	9 00	16 50
30	2 36	9 05	15 33		2 21	9 05	15 49		2 02	9 05	16 08		1 35	9 05	16 35		0 51	9 05	17 20
Jul. 10	2 39	9 12	15 44		2 21	9 12	16 02		1 59	9 12	16 24		1 28	9 12	16 56		0 35	9 12	17 50
20	2 45	9 20	15 56		2 26	9 20	16 15		2 01	9 20	16 40		1 26	9 20	17 15		0 25	9 20	18 17
30	2 54	9 31	16 08		2 34	9 31	16 28		2 08	9 31	16 54		1 31	9 31	17 31		0 25	9 31	18 37
Aug. 9	3 05	9 42	16 19		2 45	9 42	16 39		2 19	9 42	17 05		1 42	9 42	17 42		0 37	9 42	18 46
19	3 19	9 54	16 28		2 59	9 54	16 47		2 35	9 54	17 11		2 01	9 54	17 46		1 01	9 54	18 45
29	3 33	10 04	16 35		3 16	10 04	16 52		2 54	10 04	17 14		2 24	10 04	17 44		1 33	10 04	18 34
Sep. 8	3 48	10 14	16 40		3 33	10 14	16 54		3 16	10 14	17 12		2 51	10 14	17 36		2 11	10 14	18 16
18	4 02	10 23	16 43		3 51	10 23	16 53		3 38	10 23	17 07		3 19	10 23	17 25		2 50	10 23	17 53
28	4 16	10 30	16 44		4 09	10 30	16 50		4 00	10 30	16 59		3 49	10 30	17 10		3 30	10 30	17 28
Oct. 8	4 29	10 36	16 43		4 27	10 36	16 46		4 23	10 36	16 49		4 18	10 36	16 54		4 10	10 36	17 01
18	4 43	10 43	16 42		4 44	10 43	16 41		4 46	10 43	16 39		4 48	10 43	16 37		4 50	10 43	16 33
28	4 57	10 49	16 42		5 02	10 49	16 36		5 09	10 49	16 29		5 18	10 49	16 20		5 31	10 49	16 06
Nov. 7	5 11	10 57	16 43		5 21	10 57	16 33		5 33	10 57	16 21		5 48	10 57	16 05		6 13	10 57	15 40
17	5 27	11 06	16 46		5 40	11 06	16 32		5 57	11 06	16 15		6 20	11 06	15 52		6 56	11 06	15 16
27	5 44	11 18	16 51		6 01	11 18	16 34		6 22	11 18	16 13		6 51	11 18	15 44		7 39	11 18	14 56
Dec. 7	6 01	11 31	17 00		6 21	11 31	16 40		6 45	11 31	16 16		7 20	11 31	15 41		8 19	11 31	14 42
17	6 19	11 45	17 12		6 40	11 45	16 51		7 07	11 45	16 24		7 45	11 45	15 46		8 52	11 45	14 39
27	6 35	12 01	17 27		6 57	12 01	17 05		7 24	12 01	16 38		8 03	12 01	15 59		9 12	12 01	14 50
37	6 49	12 16	17 44		7 10	12 16	17 23		7 36	12 16	16 57		8 13	12 16	16 20		9 18	12 16	15 15

Mars 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	19 41	2 19	8 52		19 22	2 19	9 11		18 58	2 19	9 35		18 23	2 19	10 09		17 24	2 19	11 08
11	18 48	1 28	8 03		18 27	1 28	8 23		18 02	1 28	8 49		17 25	1 28	9 25		16 20	1 28	10 30
21	17 51	0 33	7 10		17 29	0 33	7 32		17 02	0 33	7 59		16 22	0 33	8 38		15 11	0 33	9 50
31	16 53	23 32	6 16		16 30	23 32	6 39		16 02	23 32	7 07		15 20	23 32	7 49		14 02	23 32	9 07
Feb. 10	15 59	22 38	5 23		15 35	22 38	5 47		15 06	22 38	6 16		14 22	22 38	7 00		13 00	22 38	8 21
20	15 09	21 50	4 35		14 46	21 50	4 58		14 16	21 50	5 28		13 32	21 50	6 12		12 09	21 50	7 35
Mar. 2	14 26	21 06	3 51		14 03	21 06	4 14		13 33	21 06	4 44		12 50	21 06	5 27		11 27	21 06	6 50
12	13 49	20 28	3 12		13 26	20 28	3 35		12 57	20 28	4 04		12 14	20 28	4 46		10 55	20 28	6 06
22	13 16	19 55	2 37		12 54	19 55	2 59		12 26	19 55	3 28		11 45	19 55	4 09		10 30	19 55	5 24
Apr. 1	12 48	19 26	2 06		12 27	19 26	2 27		12 00	19 26	2 55		11 21	19 26	3 34		10 10	19 26	4 45
11	12 23	18 59	1 38		12 03	18 59	1 58		11 37	18 59	2 24		11 00	18 59	3 01		9 55	18 59	4 06
21	12 01	18 35	1 11		11 41	18 35	1 30		11 17	18 35	1 55		10 43	18 35	2 29		9 43	18 35	3 29
May 1	11 40	18 12	0 46		11 22	18 12	1 04		11 00	18 12	1 27		10 28	18 12	1 59		9 34	18 12	2 53
11	11 21	17 51	0 22		11 05	17 51	0 39		10 44	17 51	0 59		10 15	17 51	1 29		9 27	17 51	2 17
21	11 03	17 30	23 57		10 48	17 30	0 14		10 30	17 30	0 33		10 04	17 30	0 59		9 21	17 30	1 41
31	10 46	17 10	23 34		10 33	17 10	23 47		10 17	17 10	0 06		9 54	17 10	0 29		9 17	17 10	1 06
Jun. 10	10 30	16 51	23 12		10 19	16 51	23 23		10 05	16 51	23 37		9 45	16 51	23 56		9 14	16 51	0 30
20	10 15	16 32	22 50		10 05	16 32	22 59		9 53	16 32	23 11		9 37	16 32	23 27		9 12	16 32	23 52
30	10 00	16 14	22 28		9 52	16 14	22 35		9 43	16 14	22 44		9 30	16 14	22 57		9 10	16 14	23 16
Jul. 10	9 45	15 56	22 06		9 40	15 56	22 12		9 33	15 56	22 18		9 24	15 56	22 27		9 09	15 56	22 41
20	9 31	15 38	21 45		9 28	15 38	21 48		9 23	15 38	21 52		9 18	15 38	21 58		9 09	15 38	22 06
30	9 17	15 21	21 24		9 16	15 21	21 25		9 14	15 21	21 26		9 12	15 21	21 28		9 09	15 21	21 31
Aug. 9	9 04	15 04	21 03		9 05	15 04	21 02		9 06	15 04	21 01		9 08	15 04	20 59		9 10	15 04	20 57
19	8 51	14 47	20 43		8 54	14 47	20 40		8 58	14 47	20 36		9 04	14 47	20 30		9 12	14 47	20 22
29	8 39	14 31	20 24		8 45	14 31	20 18		8 51	14 31	20 11		9 00	14 31	20 02		9 14	14 31	19 48
Sep. 8	8 28	14 16	20 05		8 36	14 16	19 57		8 45	14 16	19 47		8 58	14 16	19 34		9 17	14 16	19 15
18	8 17	14 02	19 47		8 27	14 02	19 37		8 39	14 02	19 24		8 56	14 02	19 08		9 22	14 02	18 42
28	8 07	13 48	19 30		8 19	13 48	19 17		8 34	13 48	19 02		8 55	13 48	18 42		9 27	13 48	18 09
Oct. 8	7 58	13 36	19 14		8 12	13 36	18 59		8 30	13 36	18 42		8 54	13 36	18 17		9 33	13 36	17 38
18	7 50	13 24	18 59		8 06	13 24	18 43		8 26	13 24	18 22		8 54	13 24	17 54		9 40	13 24	17 09
28	7 43	13 14	18 46		8 01	13 14	18 27		8 23	13 14	18 05		8 54	13 14	17 34		9 47	13 14	16 41
Nov. 7	7 36	13 05	18 34		7 55	13 05	18 14		8 20	13 05	17 50		8 54	13 05	17 15		9 53	13 05	16 16
17	7 29	12 56	18 23		7 50	12 56	18 02		8 16	12 56	17 36		8 53	12 56	16 59		9 58	12 56	15 54
27	7 23	12 49	18 14		7 45	12 49	17 53		8 12	12 49	17 25		8 51	12 49	16 46		10 01	12 49	15 37
Dec. 7	7 17	12 42	18 07		7 40	12 42	17 45		8 07	12 42	17 17		8 47	12 42	16 37		9 59	12 42	15 25
17	7 11	12 36	18 01		7 33	12 36	17 39		8 01	12 36	17 11		8 41	12 36	16 31		9 53	12 36	15 19
27	7 04	12 30	17 56		7 26	12 30	17 34		7 53	12 30	17 07		8 32	12 30	16 28		9 41	12 30	15 19
37	6 57	12 24	17 51		7 17	12 24	17 30		7 43	12 24	17 04		8 20	12 24	16 28		9 24	12 24	15 24

Jupiter 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	8 45	14 21	19 57		9 00	14 21	19 42		9 19	14 21	19 24		9 44	14 21	18 58		10 26	14 21	18 17
11	8 14	13 51	19 28		8 28	13 51	19 13		8 46	13 51	18 56		9 10	13 51	18 31		9 49	13 51	17 52
21	7 42	13 20	18 59		7 56	13 20	18 45		8 13	13 20	18 28		8 36	13 20	18 05		9 13	13 20	17 28
31	7 11	12 50	18 30		7 24	12 50	18 17		7 40	12 50	18 01		8 02	12 50	17 39		8 37	12 50	17 04
Feb. 10	6 40	12 20	18 01		6 52	12 20	17 49		7 07	12 20	17 34		7 28	12 20	17 13		8 01	12 20	16 40
20	6 09	11 50	17 32		6 20	11 50	17 21		6 35	11 50	17 06		6 54	11 50	16 47		7 24	11 50	16 17
Mar. 2	5 37	11 20	17 03		5 48	11 20	16 52		6 01	11 20	16 39		6 20	11 20	16 21		6 48	11 20	15 53
12	5 06	10 50	16 34		5 16	10 50	16 24		5 28	10 50	16 11		5 45	10 50	15 55		6 11	10 50	15 29
22	4 34	10 19	16 05		4 43	10 19	15 55		4 55	10 19	15 44		5 10	10 19	15 28		5 35	10 19	15 04
Apr. 1	4 02	9 48	15 35		4 10	9 48	15 26		4 21	9 48	15 15		4 36	9 48	15 01		4 58	9 48	14 39
11	3 29	9 17	15 04		3 37	9 17	14 56		3 47	9 17	14 47		4 00	9 17	14 33		4 21	9 17	14 13
21	2 56	8 45	14 33		3 04	8 45	14 26		3 13	8 45	14 17		3 25	8 45	14 05		3 44	8 45	13 46
May 1	2 23	8 12	14 02		2 30	8 12	13 55		2 38	8 12	13 47		2 49	8 12	13 36		3 06	8 12	13 18
11	1 49	7 39	13 30		1 55	7 39	13 23		2 03	7 39	13 16		2 13	7 39	13 05		2 29	7 39	12 49
21	1 14	7 05	12 56		1 20	7 05	12 50		1 27	7 05	12 43		1 37	7 05	12 34		1 51	7 05	12 19
31	0 39	6 30	12 22		0 44	6 30	12 17		0 51	6 30	12 10		1 00	6 30	12 01		1 14	6 30	11 47
Jun. 10{	0 02	5 55	11 47		0 08	5 55	11 42		0 14	5 55	11 35		0 23	5 55	11 27		0 35	5 55	11 14
	23 59
20	23 22	5 18	11 10		23 27	5 18	11 05		23 33	5 18	10 59		23 41	5 18	10 51		23 53	5 18	10 38
30	22 43	4 40	10 32		22 48	4 40	10 27		22 54	4 40	10 21		23 02	4 40	10 13		23 15	4 40	10 01
Jul. 10	22 04	4 01	9 53		22 09	4 01	9 48		22 15	4 01	9 42		22 23	4 01	9 34		22 36	4 01	9 22
20	21 24	3 20	9 13		21 29	3 20	9 08		21 36	3 20	9 01		21 44	3 20	8 53		21 57	3 20	8 40
30	20 43	2 39	8 31		20 48	2 39	8 25		20 55	2 39	8 19		21 04	2 39	8 10		21 17	2 39	7 57
Aug. 9	20 01	1 57	7 48		20 07	1 57	7 42		20 14	1 57	7 35		20 23	1 57	7 26		20 37	1 57	7 12
19	19 18	1 13	7 04		19 24	1 13	6 58		19 32	1 13	6 50		19 42	1 13	6 40		19 57	1 13	6 25
29	18 35	0 29	6 19		18 42	0 29	6 12		18 50	0 29	6 05		19 00	0 29	5 54		19 17	0 29	5 37
Sep. 8	17 52	23 41	5 34		17 59	23 41	5 27		18 07	23 41	5 19		18 19	23 41	5 07		18 36	23 41	4 50
18	17 08	22 57	4 49		17 16	22 57	4 42		17 25	22 57	4 33		17 37	22 57	4 21		17 56	22 57	4 02
28	16 25	22 13	4 05		16 33	22 13	3 57		16 43	22 13	3 48		16 56	22 13	3 35		17 15	22 13	3 15
Oct. 8	15 43	21 30	3 22		15 51	21 30	3 14		16 01	21 30	3 04		16 14	21 30	2 50		16 35	21 30	2 30
18	15 02	20 48	2 40		15 10	20 48	2 31		15 20	20 48	2 21		15 34	20 48	2 07		15 55	20 48	1 46
28	14 21	20 08	1 59		14 30	20 08	1 50		14 40	20 08	1 40		14 54	20 08	1 26		15 15	20 08	1 05
Nov. 7	13 42	19 29	1 19		13 50	19 29	1 11		14 00	19 29	1 01		14 14	19 29	0 47		14 35	19 29	0 26
17	13 03	18 51	0 42		13 12	18 51	0 33		13 22	18 51	0 23		13 35	18 51	0 10		13 56	18 51	23 45
27	12 26	18 14	0 05		12 34	18 14	23 53		12 44	18 14	23 44		12 57	18 14	23 31		13 17	18 14	23 11
Dec. 7	11 50	17 38	23 26		11 58	17 38	23 19		12 07	17 38	23 10		12 19	17 38	22 57		12 38	17 38	22 38
17	11 14	17 03	22 52		11 22	17 03	22 45		11 30	17 03	22 37		11 42	17 03	22 25		12 00	17 03	22 07
27	10 40	16 30	22 20		10 46	16 30	22 13		10 55	16 30	22 05		11 05	16 30	21 54		11 22	16 30	21 37
37	10 06	15 57	21 48		10 12	15 57	21 42		10 19	15 57	21 34		10 29	15 57	21 24		10 44	15 57	21 09

Saturn 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	12 08	18 15	0 26		12 04	18 15	0 30		12 00	18 15	0 34		11 53	18 15	0 40		11 44	18 15	0 50
11{	11 29	17 37	23 44		11 26	17 37	23 48		11 21	17 37	23 53		11 14	17 37	0 03		11 04	17 37	0 13
															23 59
21	10 51	16 59	23 07		10 48	16 59	23 11		10 43	16 59	23 16		10 36	16 59	23 23		10 25	16 59	23 34
31	10 14	16 23	22 31		10 10	16 23	22 35		10 05	16 23	22 40		9 57	16 23	22 48		9 46	16 23	22 59
Feb. 10	9 37	15 46	21 55		9 33	15 46	22 00		9 27	15 46	22 05		9 19	15 46	22 13		9 07	15 46	22 25
20	9 01	15 10	21 20		8 56	15 10	21 25		8 50	15 10	21 31		8 42	15 10	21 39		8 29	15 10	21 52
Mar. 2	8 25	14 35	20 45		8 20	14 35	20 50		8 13	14 35	20 57		8 04	14 35	21 05		7 50	14 35	21 19
12	7 49	14 00	20 10		7 43	14 00	20 16		7 36	14 00	20 23		7 27	14 00	20 32		7 12	14 00	20 47
22	7 13	13 25	19 36		7 07	13 25	19 42		7 00	13 25	19 50		6 50	13 25	20 00		6 34	13 25	20 16
Apr. 1	6 38	12 50	19 02		6 32	12 50	19 09		6 24	12 50	19 16		6 13	12 50	19 27		5 56	12 50	19 44
11	6 03	12 15	18 28		5 56	12 15	18 35		5 47	12 15	18 43		5 36	12 15	18 55		5 18	12 15	19 13
21	5 27	11 41	17 54		5 20	11 41	18 01		5 11	11 41	18 10		4 59	11 41	18 23		4 40	11 41	18 42
May 1	4 52	11 06	17 20		4 45	11 06	17 28		4 35	11 06	17 37		4 22	11 06	17 50		4 02	11 06	18 11
11	4 17	10 32	16 46		4 09	10 32	16 54		3 59	10 32	17 04		3 45	10 32	17 18		3 24	10 32	17 39
21	3 41	9 57	16 12		3 33	9 57	16 20		3 23	9 57	16 31		3 09	9 57	16 45		2 46	9 57	17 07
31	3 06	9 22	15 38		2 57	9 22	15 46		2 46	9 22	15 57		2 32	9 22	16 12		2 09	9 22	16 35
Jun. 10	2 30	8 46	15 03		2 21	8 46	15 12		2 10	8 46	15 23		1 55	8 46	15 38		1 31	8 46	16 02
20	1 54	8 11	14 27		1 45	8 11	14 37		1 33	8 11	14 48		1 18	8 11	15 04		0 53	8 11	15 28
30	1 17	7 34	13 52		1 08	7 34	14 01		0 56	7 34	14 13		0 40	7 34	14 29		0 15	7 34	14 54
Jul. 10{	0 40	6 58	13 15		0 31	6 58	13 25		0 19	6 58	13 37		0 03	6 58	13 53		23 33	6 58	14 19
													23 59
20{	0 03	6 21	12 38		23 50	6 21	12 48		23 37	6 21	13 00		23 21	6 21	13 17		22 55	6 21	13 43
	23 59
30	23 21	5 43	12 01		23 12	5 43	12 11		22 59	5 43	12 23		22 43	5 43	12 39		22 16	5 43	13 06
Aug. 9	22 43	5 05	11 22		22 33	5 05	11 32		22 21	5 05	11 44		22 04	5 05	12 01		21 38	5 05	12 28
19	22 04	4 26	10 43		21 54	4 26	10 53		21 42	4 26	11 05		21 25	4 26	11 22		20 59	4 26	11 48
29	21 24	3 46	10 03		21 14	3 46	10 13		21 02	3 46	10 25		20 46	3 46	10 42		20 20	3 46	11 08
Sep. 8	20 44	3 05	9 23		20 34	3 05	9 33		20 22	3 05	9 44		20 06	3 05	10 01		19 40	3 05	10 27
18	20 03	2 25	8 42		19 54	2 25	8 51		19 42	2 25	9 03		19 26	2 25	9 19		19 01	2 25	9 44
28	19 22	1 43	8 00		19 13	1 43	8 09		19 01	1 43	8 21		18 46	1 43	8 36		18 21	1 43	9 01
Oct. 8	18 41	1 01	7 17		18 31	1 01	7 27		18 20	1 01	7 38		18 05	1 01	7 53		17 41	1 01	8 17
18	17 59	0 19	6 35		17 50	0 19	6 44		17 39	0 19	6 55		17 24	0 19	7 10		17 00	0 19	7 33
28	17 17	23 32	5 52		17 08	23 32	6 01		16 58	23 32	6 11		16 43	23 32	6 26		16 20	23 32	6 49
Nov. 7	16 35	22 50	5 09		16 26	22 50	5 18		16 16	22 50	5 28		16 02	22 50	5 42		15 40	22 50	6 05
17	15 53	22 08	4 27		15 45	22 08	4 35		15 35	22 08	4 45		15 21	22 08	4 59		14 59	22 08	5 21
27	15 12	21 26	3 45		15 04	21 26	3 53		14 54	21 26	4 03		14 40	21 26	4 16		14 19	21 26	4 38
Dec. 7	14 31	20 45	3 03		14 23	20 45	3 11		14 13	20 45	3 21		14 00	20 45	3 34		13 39	20 45	3 55
17	13 50	20 04	2 23		13 42	20 04	2 30		13 33	20 04	2 40		13 19	20 04	2 53		12 59	20 04	3 14
27	13 10	19 24	1 43		13 02	19 24	1 50		12 53	19 24	2 00		12 39	19 24	2 13		12 19	19 24	2 34
37	12 31	18 45	1 03		12 23	18 45	1 11		12 13	18 45	1 21		12 00	18 45	1 34		11 39	18 45	1 55

Uranus 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	0 54	6 43	12 32		1 02	6 43	12 25		1 10	6 43	12 16		1 22	6 43	12 04		1 40	6 43	11 46
11	0 16	6 04	11 53		0 23	6 04	11 46		0 32	6 04	11 37		0 44	6 04	11 25		1 02	6 04	11 07
21	23 33	5 26	11 14		23 40	5 26	11 07		23 49	5 26	10 58		0 05	5 26	10 46		0 24	5 26	10 27
31	22 54	4 46	10 35		23 01	4 46	10 28		23 10	4 46	10 19		23 22	4 46	10 07		23 41	4 46	9 48
Feb. 10	22 14	4 07	9 55		22 21	4 07	9 48		22 30	4 07	9 39		22 42	4 07	9 27		23 01	4 07	9 09
20	21 34	3 27	9 15		21 41	3 27	9 08		21 50	3 27	8 59		22 02	3 27	8 48		22 20	3 27	8 29
Mar. 2	20 54	2 47	8 35		21 01	2 47	8 28		21 10	2 47	8 19		21 21	2 47	8 08		21 39	2 47	7 50
12	20 13	2 06	7 55		20 20	2 06	7 48		20 29	2 06	7 39		20 40	2 06	7 28		20 58	2 06	7 10
22	19 32	1 25	7 15		19 39	1 25	7 08		19 47	1 25	6 59		19 59	1 25	6 48		20 16	1 25	6 30
Apr. 1	18 51	0 45	6 34		18 58	0 45	6 27		19 06	0 45	6 19		19 17	0 45	6 08		19 34	0 45	5 51
11	18 10	0 04	5 53		18 16	0 04	5 47		18 25	0 04	5 38		18 35	0 04	5 28		18 52	0 04	5 11
21	17 29	23 19	5 13		17 35	23 19	5 06		17 43	23 19	4 58		17 54	23 19	4 47		18 10	23 19	4 31
May 1	16 48	22 38	4 32		16 54	22 38	4 26		17 02	22 38	4 18		17 12	22 38	4 07		17 28	22 38	3 51
11	16 07	21 57	3 51		16 13	21 57	3 45		16 21	21 57	3 38		16 31	21 57	3 27		16 47	21 57	3 12
21	15 26	21 17	3 11		15 32	21 17	3 05		15 40	21 17	2 57		15 50	21 17	2 47		16 05	21 17	2 32
31	14 46	20 36	2 31		14 52	20 36	2 25		14 59	20 36	2 17		15 09	20 36	2 07		15 24	20 36	1 52
Jun. 10	14 05	19 56	1 51		14 12	19 56	1 45		14 19	19 56	1 38		14 29	19 56	1 28		14 44	19 56	1 13
20	13 26	19 17	1 11		13 32	19 17	1 05		13 39	19 17	0 58		13 49	19 17	0 48		14 04	19 17	0 33
30	12 46	18 37	0 32		12 52	18 37	0 26		13 00	18 37	0 19		13 09	18 37	0 09		13 24	18 37	23 50
Jul. 10	12 07	17 58	23 49		12 13	17 58	23 43		12 21	17 58	23 35		12 31	17 58	23 26		12 46	17 58	23 11
20	11 29	17 19	23 10		11 35	17 19	23 04		11 42	17 19	22 57		11 52	17 19	22 47		12 07	17 19	22 31
30	10 50	16 41	22 32		10 57	16 41	22 25		11 04	16 41	22 18		11 14	16 41	22 08		11 30	16 41	21 52
Aug. 9	10 12	16 03	21 53		10 19	16 03	21 47		10 26	16 03	21 39		10 37	16 03	21 29		10 52	16 03	21 13
19	9 35	15 25	21 15		9 41	15 25	21 09		9 49	15 25	21 01		10 00	15 25	20 50		10 16	15 25	20 34
29	8 57	14 47	20 37		9 04	14 47	20 31		9 12	14 47	20 23		9 23	14 47	20 12		9 39	14 47	19 55
Sep. 8	8 20	14 10	20 00		8 27	14 10	19 53		8 35	14 10	19 45		8 46	14 10	19 34		9 03	14 10	19 17
18	7 43	13 33	19 22		7 50	13 33	19 15		7 59	13 33	19 07		8 10	13 33	18 55		8 28	13 33	18 38
28	7 07	12 56	18 45		7 14	12 56	18 37		7 22	12 56	18 29		7 34	12 56	18 17		7 52	12 56	17 59
Oct. 8	6 30	12 19	18 07		6 37	12 19	18 00		6 46	12 19	17 51		6 58	12 19	17 39		7 17	12 19	17 20
18	5 53	11 42	17 30		6 01	11 42	17 22		6 10	11 42	17 13		6 22	11 42	17 01		6 41	11 42	16 42
28	5 17	11 05	16 53		5 24	11 05	16 45		5 34	11 05	16 35		5 47	11 05	16 23		6 06	11 05	16 03
Nov. 7	4 40	10 28	16 15		4 48	10 28	16 07		4 58	10 28	15 58		5 11	10 28	15 45		5 31	10 28	15 25
17	4 03	9 51	15 38		4 11	9 51	15 30		4 21	9 51	15 20		4 35	9 51	15 06		4 55	9 51	14 46
27	3 26	9 13	15 00		3 35	9 13	14 52		3 45	9 13	14 42		3 58	9 13	14 28		4 19	9 13	14 07
Dec. 7	2 49	8 36	14 23		2 58	8 36	14 14		3 08	8 36	14 04		3 22	8 36	13 50		3 43	8 36	13 28
17	2 12	7 58	13 45		2 20	7 58	13 36		2 31	7 58	13 26		2 45	7 58	13 12		3 07	7 58	12 50
27	1 34	7 20	13 07		1 43	7 20	12 58		1 53	7 20	12 47		2 08	7 20	12 33		2 30	7 20	12 11
37	0 56	6 42	12 28		1 05	6 42	12 19		1 15	6 42	12 09		1 30	6 42	11 54		1 52	6 42	11 32

Neptune 2057

	20° N				30° N				40° N				50° N				60° N
	Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set		Rise	Transit	Set
Jan. 1	15 12	21 44	4 21		14 53	21 44	4 39		14 30	21 44	5 03		13 57	21 44	5 36		13 00	21 44	6 32
11	14 32	21 04	3 40		14 13	21 04	3 59		13 50	21 04	4 22		13 17	21 04	4 55		12 20	21 04	5 52
21	13 52	20 24	3 00		13 33	20 24	3 19		13 10	20 24	3 42		12 37	20 24	4 15		11 40	20 24	5 12
31	13 12	19 44	2 20		12 53	19 44	2 39		12 30	19 44	3 02		11 57	19 44	3 35		11 00	19 44	4 32
Feb. 10	12 32	19 04	1 41		12 14	19 04	1 59		11 50	19 04	2 23		11 17	19 04	2 56		10 21	19 04	3 52
20	11 53	18 25	1 01		11 34	18 25	1 20		11 11	18 25	1 43		10 38	18 25	2 16		9 41	18 25	3 13
Mar. 2	11 14	17 46	0 22		10 55	17 46	0 41		10 32	17 46	1 04		9 59	17 46	1 37		9 02	17 46	2 34
12{	10 35	17 07	23 40		10 16	17 07	0 02		9 53	17 07	0 25		9 20	17 07	0 59		8 23	17 07	1 55
							23 58
22	9 56	16 28	23 01		9 37	16 28	23 20		9 14	16 28	23 43		8 41	16 28	0 20		7 44	16 28	1 17
Apr. 1	9 17	15 50	22 23		8 59	15 50	22 41		8 35	15 50	23 05		8 02	15 50	23 38		7 05	15 50	0 39
11{	8 39	15 12	21 44		8 20	15 12	22 03		7 57	15 12	22 27		7 23	15 12	23 00		6 26	15 12	0 01
																			23 57
21	8 01	14 34	21 06		7 42	14 34	21 25		7 18	14 34	21 49		6 45	14 34	22 22		5 48	14 34	23 20
May 1	7 23	13 56	20 29		7 04	13 56	20 47		6 40	13 56	21 11		6 07	13 56	21 45		5 09	13 56	22 42
11	6 45	13 18	19 51		6 26	13 18	20 10		6 02	13 18	20 33		5 29	13 18	21 07		4 31	13 18	22 05
21	6 07	12 40	19 13		5 48	12 40	19 32		5 24	12 40	19 56		4 50	12 40	20 30		3 52	12 40	21 28
31	5 29	12 02	18 35		5 10	12 02	18 54		4 46	12 02	19 18		4 12	12 02	19 52		3 14	12 02	20 51
Jun. 10	4 51	11 25	17 58		4 32	11 25	18 17		4 08	11 25	18 41		3 34	11 25	19 15		2 36	11 25	20 13
20	4 13	10 47	17 20		3 54	10 47	17 39		3 30	10 47	18 03		2 56	10 47	18 37		1 57	10 47	19 36
30	3 36	10 09	16 42		3 16	10 09	17 01		2 52	10 09	17 26		2 18	10 09	18 00		1 19	10 09	18 59
Jul. 10	2 58	9 31	16 04		2 38	9 31	16 24		2 14	9 31	16 48		1 40	9 31	17 22		0 41	9 31	18 21
20{	2 19	8 53	15 26		2 00	8 53	15 46		1 36	8 53	16 10		1 02	8 53	16 44		0 02	8 53	17 44
																	23 58
30	1 41	8 15	14 48		1 22	8 15	15 08		0 58	8 15	15 32		0 23	8 15	16 06		23 20	8 15	17 06
Aug. 9	1 03	7 36	14 10		0 44	7 36	14 29		0 19	7 36	14 53		23 41	7 36	15 28		22 41	7 36	16 28
19	0 24	6 58	13 31		0 05	6 58	13 51		23 37	6 58	14 15		23 02	6 58	14 49		22 03	6 58	15 49
29	23 42	6 19	12 53		23 22	6 19	13 12		22 58	6 19	13 36		22 24	6 19	14 11		21 24	6 19	15 10
Sep. 8	23 03	5 40	12 14		22 43	5 40	12 33		22 19	5 40	12 57		21 44	5 40	13 32		20 45	5 40	14 31
18	22 23	5 01	11 34		22 04	5 01	11 54		21 40	5 01	12 18		21 05	5 01	12 52		20 06	5 01	13 52
28	21 44	4 21	10 55		21 25	4 21	11 14		21 00	4 21	11 38		20 26	4 21	12 13		19 26	4 21	13 12
Oct. 8	21 04	3 42	10 15		20 45	3 42	10 34		20 21	3 42	10 59		19 46	3 42	11 33		18 47	3 42	12 33
18	20 24	3 02	9 35		20 05	3 02	9 54		19 41	3 02	10 19		19 06	3 02	10 53		18 07	3 02	11 52
28	19 44	2 22	8 55		19 25	2 22	9 14		19 01	2 22	9 38		18 27	2 22	10 13		17 27	2 22	11 12
Nov. 7	19 04	1 41	8 15		18 45	1 41	8 34		18 21	1 41	8 58		17 46	1 41	9 32		16 47	1 41	10 31
17	18 24	1 01	7 34		18 04	1 01	7 53		17 40	1 01	8 17		17 06	1 01	8 52		16 07	1 01	9 51
27	17 43	0 20	6 54		17 24	0 20	7 13		17 00	0 20	7 37		16 26	0 20	8 11		15 27	0 20	9 10
Dec. 7	17 03	23 36	6 13		16 44	23 36	6 32		16 20	23 36	6 56		15 46	23 36	7 30		14 47	23 36	8 29
17	16 22	22 55	5 33		16 03	22 55	5 52		15 39	22 55	6 16		15 05	22 55	6 49		14 07	22 55	7 48
27	15 42	22 15	4 52		15 23	22 15	5 11		14 59	22 15	5 35		14 25	22 15	6 09		13 27	22 15	7 07
37	15 02	21 35	4 12		14 43	21 35	4 31		14 19	21 35	4 55		13 45	21 35	5 28		12 47	21 35	6 27

Planetary phenomena 2057

Here, stations are in ecliptic longitude, not in right ascension.

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2057

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest E elongation						Mar.	23	06	19°	−0.1	Jul.	20	11	27°	+0.5	Nov.	14	14	23°	−0.2
Stationary						Mar.	31	03			Aug.	3	09			Nov.	24	12
Inferior conjunction						Apr.	10	02			Aug.	17	07			Dec.	4	14
Stationary						Apr.	23	16			Aug.	27	04			Dec.	14	07
Greatest W elongation	Jan.	9	20	23°	−0.2	May	8	01	27°	+0.5	Sep.	3	11	18°	−0.2	Dec.	23	09	22°	−0.3
Superior conjunction	Feb.	25	14			Jun.	13	04			Sep.	29	02

Venus 2057

		d	h		Mag
Stationary	Feb.	20	13
Inferior conjunction	Mar.	13	12
Stationary	Apr.	3	09
Greatest W elongation	May	22	13	46°	−4.3
Superior conjunction	Dec.	27	07

Superior planets 2057

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars							Jan.	24	00	−1.3	Mar.	4	11
Jupiter	Feb.	12	12	Jul.	6	09	Sep.	4	14	−2.9	Nov.	2	07
Saturn	Apr.	15	03	Aug.	17	08	Oct.	25	10	−0.1	Dec.	31	07
Uranus	Oct.	17	13	Jan.	27	16	Apr.	11	15	+5.3	Jun.	27	10
Neptune	Jun.	1	12	Sep.	16	10	Dec.	4	09	+7.8	Feb.	17	12

Planets in perihelion and in aphelion 2057

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury					Jan.	31	0.46670	69.817
	Mar.	16	0.30750	46.001	Apr.	29	0.46670	69.817
	Jun.	12	0.30750	46.001	Jul.	26	0.46670	69.817
	Sep.	8	0.30750	46.001	Oct.	22	0.46670	69.818
	Dec.	5	0.30750	46.001
Venus	Feb.	16	0.71845	107.479	Jun.	8	0.72823	108.941
	Sep.	28	0.71843	107.475
Earth	Jan.	3	0.98333	147.103	Jul.	4	1.01670	152.096
Mars					Apr.	7	1.66599	249.229
Jupiter: None this year
Saturn: None this year
Uranus: None this year

Magnitudes of the planets · Magnitudes, phases and diameters of the planets

Magnitudes of the planets in 2057

The colours of the planets are those from Per Lilje (editor): Almanakk for Norge 2020

Magnitudes, phases and diameters of the planets in 2057

At 0:00 Universal Time

	Mercury				Venus				Mars			Jupiter			Saturn
	Mag	Phase	Diam		Mag	Phase	Diam		Mag	Diam		Mag	Diam		Mag	Diam
Jan. 0	+0.3	0.33	8		−4.5	0.51	25		−0.9	13		−2.0	34		+0.6	18
5	−0.1	0.51	7		−4.6	0.48	26		−1.0	14		−2.0	33		+0.7	18
10	−0.2	0.64	7		−4.6	0.46	28		−1.1	14		−2.0	33		+0.7	18
15	−0.2	0.73	6		−4.7	0.43	29		−1.2	14		−2.0	33		+0.7	18
20	−0.2	0.80	6		−4.7	0.39	31		−1.3	14		−2.0	33		+0.7	17
25	−0.3	0.85	5		−4.8	0.36	34		−1.3	14		−2.0	33		+0.7	17
30	−0.3	0.89	5		−4.8	0.32	36		−1.2	14		−2.0	33		+0.7	17
Feb. 4	−0.4	0.92	5		−4.8	0.28	39		−1.1	14		−2.0	33		+0.7	17
9	−0.6	0.95	5		−4.8	0.24	42		−1.0	13		−2.0	33		+0.7	17
14	−0.8	0.97	5		−4.8	0.20	46		−0.9	13		−2.0	33		+0.7	17
19	−1.1	0.99	5		−4.8	0.15	49		−0.8	13		−2.0	33		+0.7	17
24	−1.5	1.00	5		−4.7	0.10	53		−0.6	12		−2.0	33		+0.7	17
Mar. 1	−1.6	0.99	5		−4.6	0.06	56		−0.5	12		−2.0	33		+0.7	17
6	−1.5	0.96	5		−4.4	0.03	59		−0.3	11		−2.0	33		+0.7	16
11	−1.3	0.88	6		−4.2	0.01	60		−0.2	11		−2.0	33		+0.7	16
16	−1.0	0.73	6		−4.2	0.01	60		−0.1	10		−2.0	33		+0.6	16
21	−0.5	0.53	7		−4.3	0.03	58		0.0	10		−2.0	33		+0.6	16
26	+0.4	0.32	8		−4.5	0.06	56		+0.2	9		−2.0	34		+0.6	16
31	+1.6	0.15	9		−4.6	0.10	52		+0.3	9		−2.0	34		+0.6	16
Apr. 5	+3.5	0.04	11		−4.7	0.15	48		+0.4	8		−2.1	34		+0.5	16
10	…	0.00	11		−4.7	0.19	44		+0.5	8		−2.1	35		+0.5	16
15	+3.9	0.03	12		−4.7	0.24	41		+0.6	8		−2.1	35		+0.5	16
20	+2.5	0.10	11		−4.7	0.28	38		+0.7	8		−2.1	35		+0.5	16
25	+1.6	0.19	10		−4.7	0.32	35		+0.7	7		−2.1	36		+0.5	16
30	+1.0	0.28	9		−4.6	0.35	32		+0.8	7		−2.2	36		+0.5	16
May 5	+0.7	0.37	9		−4.6	0.39	30		+0.9	7		−2.2	37		+0.5	16
10	+0.4	0.45	8		−4.6	0.42	28		+0.9	7		−2.2	37		+0.5	16
15	+0.2	0.53	7		−4.5	0.45	26		+1.0	6		−2.2	38		+0.5	16
20	−0.1	0.62	7		−4.4	0.48	25		+1.1	6		−2.3	38		+0.5	16
25	−0.4	0.71	6		−4.4	0.51	23		+1.1	6		−2.3	39		+0.5	16
30	−0.8	0.81	6		−4.4	0.53	22		+1.2	6		−2.3	39		+0.5	17
Jun. 4	−1.2	0.91	5		−4.3	0.56	21		+1.2	6		−2.4	40		+0.5	17
9	−1.8	0.98	5		−4.3	0.58	20		+1.3	6		−2.4	40		+0.5	17
14	−2.2	1.00	5		−4.2	0.60	19		+1.3	5		−2.4	41		+0.5	17
19	−1.5	0.96	5		−4.2	0.63	18		+1.3	5		−2.5	42		+0.5	17
24	−1.0	0.88	5		−4.2	0.65	18		+1.4	5		−2.5	43		+0.5	17
29	−0.6	0.79	6		−4.1	0.67	17		+1.4	5		−2.6	43		+0.5	17
Jul. 4	−0.3	0.70	6		−4.1	0.69	16		+1.4	5		−2.6	44		+0.5	17
9	0.0	0.62	7		−4.1	0.70	16		+1.5	5		−2.6	45		+0.5	17
14	+0.2	0.54	7		−4.0	0.72	15		+1.5	5		−2.7	45		+0.4	18
19	+0.4	0.47	8		−4.0	0.74	15		+1.5	5		−2.7	46		+0.4	18
24	+0.7	0.39	8		−4.0	0.76	14		+1.5	5		−2.7	47		+0.4	18
29	+1.0	0.30	9		−4.0	0.77	14		+1.5	5		−2.8	47		+0.4	18
Aug. 3	+1.5	0.20	10		−4.0	0.79	14		+1.5	5		−2.8	48		+0.4	18
8	+2.4	0.11	11		−4.0	0.80	13		+1.5	4		−2.8	48		+0.3	18
13	+3.7	0.04	11		−3.9	0.82	13		+1.6	4		−2.8	49		+0.3	19
18	+4.7	0.01	11		−3.9	0.83	13		+1.6	4		−2.9	49		+0.3	19
23	+3.0	0.06	10		−3.9	0.84	12		+1.6	4		−2.9	49		+0.3	19
28	+1.3	0.19	9		−3.9	0.86	12		+1.6	4		−2.9	49		+0.2	19
Sep. 2	+0.1	0.38	8		−3.9	0.87	12		+1.6	4		−2.9	49		+0.2	19
7	−0.7	0.60	7		−3.9	0.88	12		+1.6	4		−2.9	49		+0.2	19
12	−1.1	0.79	6		−3.9	0.89	11		+1.6	4		−2.9	49		+0.2	19
17	−1.3	0.91	5		−3.9	0.90	11		+1.6	4		−2.9	49		+0.1	20
22	−1.4	0.98	5		−3.9	0.91	11		+1.5	4		−2.9	49		+0.1	20
27	−1.6	1.00	5		−3.9	0.92	11		+1.5	4		−2.8	49		+0.1	20
Oct. 2	−1.4	1.00	5		−3.9	0.93	11		+1.5	4		−2.8	48		0.0	20
7	−1.0	0.99	5		−3.9	0.94	11		+1.5	4		−2.8	48		0.0	20
12	−0.7	0.97	5		−3.9	0.95	11		+1.5	4		−2.8	47		0.0	20
17	−0.5	0.95	5		−3.9	0.95	10		+1.5	4		−2.7	46		0.0	20
22	−0.4	0.92	5		−3.9	0.96	10		+1.5	4		−2.7	46		−0.1	20
27	−0.3	0.89	5		−3.9	0.97	10		+1.5	4		−2.7	45		−0.1	20
Nov. 1	−0.3	0.84	5		−3.9	0.97	10		+1.4	4		−2.6	44		0.0	20
6	−0.3	0.79	6		−3.9	0.98	10		+1.4	4		−2.6	44		0.0	20
11	−0.3	0.71	6		−3.9	0.98	10		+1.4	4		−2.6	43		0.0	20
16	−0.2	0.60	7		−3.9	0.99	10		+1.4	4		−2.5	42		+0.1	20
21	0.0	0.44	8		−3.9	0.99	10		+1.4	4		−2.5	42		+0.1	20
26	+0.8	0.24	9		−3.9	0.99	10		+1.4	4		−2.5	41		+0.1	20
Dec. 1	+2.9	0.05	10		−3.9	0.99	10		+1.3	4		−2.4	40		+0.2	20
6	+4.3	0.01	10		−3.9	1.00	10		+1.3	4		−2.4	40		+0.2	20
11	+1.3	0.16	9		−3.9	1.00	10		+1.3	4		−2.3	39		+0.2	19
16	+0.1	0.38	8		−3.9	1.00	10		+1.3	4		−2.3	38		+0.3	19
21	−0.3	0.57	7		…	1.00	10		+1.2	4		−2.3	38		+0.3	19
26	−0.4	0.70	6		…	1.00	10		+1.2	4		−2.3	37		+0.3	19
31	−0.4	0.79	6		…	1.00	10		+1.2	4		−2.2	37		+0.4	19
36	−0.4	0.85	5		−3.9	1.00	10		+1.2	4		−2.2	36		+0.4	19

Declinations of the Sun, Moon and planets in 2057

Sun and planets (diagram) · Moon (diagram) · Sun · Moon · Mercury · Venus · Mars · Jupiter · Saturn · Uranus · Neptune

Declinations of the Sun and planets in 2057

The colours of the planets are those from Per Lilje (editor): Almanakk for Norge 2020

Declination of the Moon in 2057

Declination of the Sun in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.3	−7.9	+4.3	+14.9	+22.0	+23.1	+18.2	+8.5	−2.9	−14.2	−21.7	0
1	−23.0	−17.0	−7.5	+4.6	+15.2	+22.1	+23.1	+17.9	+8.2	−3.3	−14.5	−21.8	1
2	−22.9	−16.7	−7.1	+5.0	+15.5	+22.2	+23.0	+17.7	+7.8	−3.7	−14.8	−22.0	2
3	−22.8	−16.4	−6.7	+5.4	+15.8	+22.3	+22.9	+17.4	+7.4	−4.1	−15.1	−22.1	3
4	−22.7	−16.1	−6.3	+5.8	+16.0	+22.5	+22.8	+17.1	+7.1	−4.5	−15.5	−22.3	4
5	−22.6	−15.8	−5.9	+6.2	+16.3	+22.6	+22.7	+16.9	+6.7	−4.8	−15.8	−22.4	5
6	−22.5	−15.5	−5.6	+6.6	+16.6	+22.7	+22.6	+16.6	+6.3	−5.2	−16.1	−22.5	6
7	−22.3	−15.2	−5.2	+6.9	+16.9	+22.8	+22.5	+16.3	+6.0	−5.6	−16.4	−22.6	7
8	−22.2	−14.9	−4.8	+7.3	+17.2	+22.9	+22.4	+16.0	+5.6	−6.0	−16.6	−22.7	8
9	−22.1	−14.6	−4.4	+7.7	+17.4	+22.9	+22.3	+15.8	+5.2	−6.4	−16.9	−22.8	9
10	−21.9	−14.3	−4.0	+8.1	+17.7	+23.0	+22.2	+15.5	+4.8	−6.7	−17.2	−22.9	10
11	−21.8	−13.9	−3.6	+8.4	+18.0	+23.1	+22.1	+15.2	+4.4	−7.1	−17.5	−23.0	11
12	−21.6	−13.6	−3.2	+8.8	+18.2	+23.2	+21.9	+14.9	+4.1	−7.5	−17.8	−23.1	12
13	−21.4	−13.3	−2.8	+9.1	+18.5	+23.2	+21.8	+14.6	+3.7	−7.9	−18.0	−23.2	13
14	−21.3	−12.9	−2.4	+9.5	+18.7	+23.3	+21.6	+14.3	+3.3	−8.2	−18.3	−23.2	14
15	−21.1	−12.6	−2.0	+9.9	+18.9	+23.3	+21.5	+13.9	+2.9	−8.6	−18.5	−23.3	15
16	−20.9	−12.2	−1.6	+10.2	+19.2	+23.4	+21.3	+13.6	+2.5	−9.0	−18.8	−23.3	16
17	−20.7	−11.9	−1.2	+10.6	+19.4	+23.4	+21.1	+13.3	+2.1	−9.4	−19.0	−23.4	17
18	−20.5	−11.5	−0.8	+10.9	+19.6	+23.4	+21.0	+13.0	+1.8	−9.7	−19.3	−23.4	18
19	−20.3	−11.2	−0.4	+11.3	+19.8	+23.4	+20.8	+12.7	+1.4	−10.1	−19.5	−23.4	19
20	−20.1	−10.8	−0.1	+11.6	+20.0	+23.4	+20.6	+12.3	+1.0	−10.4	−19.7	−23.4	20
21	−19.8	−10.5	+0.3	+12.0	+20.2	+23.4	+20.4	+12.0	+0.6	−10.8	−20.0	−23.4	21
22	−19.6	−10.1	+0.7	+12.3	+20.4	+23.4	+20.2	+11.7	+0.2	−11.1	−20.2	−23.4	22
23	−19.4	−9.7	+1.1	+12.6	+20.6	+23.4	+20.0	+11.3	−0.2	−11.5	−20.4	−23.4	23
24	−19.1	−9.4	+1.5	+13.0	+20.8	+23.4	+19.8	+11.0	−0.6	−11.8	−20.6	−23.4	24
25	−18.9	−9.0	+1.9	+13.3	+21.0	+23.4	+19.6	+10.6	−1.0	−12.2	−20.8	−23.4	25
26	−18.6	−8.6	+2.3	+13.6	+21.2	+23.3	+19.4	+10.3	−1.4	−12.5	−21.0	−23.3	26
27	−18.4	−8.2	+2.7	+13.9	+21.3	+23.3	+19.1	+10.0	−1.7	−12.9	−21.2	−23.3	27
28	−18.1	−7.9	+3.1	+14.2	+21.5	+23.3	+18.9	+9.6	−2.1	−13.2	−21.3	−23.3	28
29	−17.9	−7.5	+3.5	+14.6	+21.7	+23.2	+18.7	+9.2	−2.5	−13.5	−21.5	−23.2	29
30	−17.6	−7.1	+3.9	+14.9	+21.8	+23.1	+18.4	+8.9	−2.9	−13.9	−21.7	−23.1	30
31	−17.3	−6.7	+4.3	+15.2	+22.0	+23.1	+18.2	+8.5	−3.3	−14.2	−21.8	−23.1	31
32	−17.0	−6.3	+4.6	+15.5	+22.1	+23.0	+17.9	+8.2	−3.7	−14.5	−22.0	−23.0	32

Declination of the Moon in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−5.2	−21.0	−22.5	−17.6	−5.4	+12.4	+21.3	+22.2	+9.2	−5.3	−22.0	−23.7	0
1	−10.4	−22.6	−23.0	−13.6	−0.5	+16.3	+23.0	+19.9	+4.1	−10.7	−24.0	−21.4	1
2	−15.2	−22.7	−22.1	−9.0	+4.5	+19.5	+23.7	+16.7	−1.3	−15.6	−24.3	−17.7	2
3	−19.1	−21.4	−19.8	−4.1	+9.2	+21.9	+23.3	+12.7	−6.7	−19.7	−23.0	−13.2	3
4	−21.7	−18.7	−16.4	+0.9	+13.5	+23.3	+21.8	+8.0	−11.9	−22.5	−20.4	−8.1	4
5	−22.8	−14.9	−12.2	+5.8	+17.2	+23.7	+19.3	+2.9	−16.5	−24.0	−16.5	−2.8	5
6	−22.3	−10.5	−7.5	+10.4	+20.2	+23.0	+15.9	−2.4	−20.2	−23.9	−11.9	+2.5	6
7	−20.4	−5.6	−2.5	+14.5	+22.3	+21.3	+11.7	−7.7	−22.7	−22.3	−6.8	+7.6	7
8	−17.2	−0.7	+2.5	+18.0	+23.4	+18.5	+7.0	−12.7	−23.9	−19.4	−1.5	+12.3	8
9	−13.1	+4.2	+7.3	+20.7	+23.5	+14.9	+1.8	−17.2	−23.4	−15.4	+3.8	+16.5	9
10	−8.6	+8.7	+11.7	+22.5	+22.5	+10.6	−3.6	−20.7	−21.5	−10.6	+8.9	+20.0	10
11	−3.8	+12.9	+15.5	+23.4	+20.5	+5.6	−8.9	−23.0	−18.2	−5.3	+13.5	+22.5	11
12	+1.0	+16.5	+18.7	+23.1	+17.5	+0.3	−14.0	−23.7	−13.8	+0.1	+17.5	+24.1	12
13	+5.7	+19.4	+21.1	+21.8	+13.6	−5.3	−18.3	−22.8	−8.8	+5.4	+20.8	+24.5	13
14	+10.1	+21.5	+22.6	+19.4	+8.9	−10.7	−21.6	−20.4	−3.4	+10.4	+23.0	+23.8	14
15	+14.0	+22.7	+23.1	+16.0	+3.7	−15.7	−23.4	−16.6	+2.0	+14.8	+24.3	+22.1	15
16	+17.4	+22.8	+22.5	+11.7	−2.0	−19.8	−23.5	−12.0	+7.1	+18.6	+24.4	+19.4	16
17	+20.1	+21.8	+20.8	+6.7	−7.7	−22.6	−22.0	−6.8	+11.9	+21.5	+23.4	+15.9	17
18	+21.9	+19.7	+18.0	+1.2	−13.1	−23.7	−18.9	−1.4	+16.1	+23.4	+21.4	+11.6	18
19	+22.8	+16.6	+14.2	−4.6	−17.7	−23.0	−14.8	+3.8	+19.5	+24.3	+18.4	+6.8	19
20	+22.6	+12.5	+9.6	−10.1	−21.2	−20.8	−10.0	+8.8	+22.0	+24.0	+14.6	+1.6	20
21	+21.2	+7.8	+4.4	−15.2	−23.2	−17.3	−4.8	+13.2	+23.5	+22.7	+10.1	−3.9	21
22	+18.8	+2.5	−1.2	−19.3	−23.6	−13.0	+0.4	+17.1	+24.0	+20.3	+4.9	−9.4	22
23	+15.4	−2.9	−6.8	−22.1	−22.3	−8.2	+5.5	+20.2	+23.4	+17.0	−0.6	−14.6	23
24	+11.2	−8.2	−12.0	−23.4	−19.6	−3.1	+10.2	+22.4	+21.7	+12.8	−6.2	−19.1	24
25	+6.5	−13.1	−16.6	−23.2	−15.9	+1.9	+14.4	+23.6	+19.0	+7.9	−11.8	−22.4	25
26	+1.3	−17.3	−20.1	−21.5	−11.5	+6.8	+17.9	+23.7	+15.3	+2.6	−16.8	−24.3	26
27	−4.0	−20.5	−22.4	−18.5	−6.7	+11.3	+20.8	+22.8	+10.9	−3.1	−20.8	−24.3	27
28	−9.2	−22.5	−23.2	−14.7	−1.7	+15.3	+22.7	+20.8	+5.8	−8.8	−23.5	−22.5	28
29	−13.9	−23.0	−22.6	−10.3	+3.2	+18.7	+23.6	+17.7	+0.3	−14.1	−24.5	−19.2	29
30	−18.0	−22.1	−20.7	−5.4	+8.0	+21.3	+23.5	+13.8	−5.3	−18.6	−23.7	−14.8	30
31	−21.0	−19.8	−17.6	−0.5	+12.4	+23.0	+22.2	+9.2	−10.7	−22.0	−21.4	−9.7	31
32	−22.6	−16.4	−13.6	+4.5	+16.3	+23.7	+19.9	+4.1	−15.6	−24.0	−17.7	−4.3	32

Declination of Mercury in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.2	−22.3	−8.6	+12.9	+4.0	+17.7	+22.6	+8.0	+13.6	−2.0	−21.5	−23.2	0
1	−20.3	−22.1	−7.8	+12.9	+4.1	+18.3	+22.2	+7.7	+13.7	−2.8	−21.9	−22.7	1
2	−20.4	−21.9	−7.0	+12.8	+4.2	+18.9	+21.8	+7.4	+13.7	−3.6	−22.2	−22.3	2
3	−20.5	−21.7	−6.1	+12.7	+4.3	+19.5	+21.4	+7.2	+13.7	−4.4	−22.6	−21.8	3
4	−20.7	−21.5	−5.3	+12.5	+4.5	+20.1	+20.9	+7.1	+13.6	−5.1	−22.9	−21.3	4
5	−20.9	−21.2	−4.4	+12.3	+4.7	+20.6	+20.4	+6.9	+13.5	−5.9	−23.3	−20.8	5
6	−21.0	−20.9	−3.5	+12.0	+5.0	+21.2	+19.9	+6.8	+13.3	−6.6	−23.6	−20.4	6
7	−21.2	−20.6	−2.6	+11.6	+5.2	+21.7	+19.4	+6.8	+13.0	−7.3	−23.9	−19.9	7
8	−21.4	−20.2	−1.7	+11.2	+5.5	+22.2	+18.9	+6.8	+12.7	−8.1	−24.1	−19.5	8
9	−21.6	−19.9	−0.8	+10.8	+5.9	+22.6	+18.4	+6.8	+12.4	−8.8	−24.4	−19.2	9
10	−21.8	−19.5	+0.1	+10.3	+6.2	+23.1	+17.9	+6.9	+11.9	−9.5	−24.6	−18.9	10
11	−21.9	−19.1	+1.1	+9.8	+6.6	+23.4	+17.4	+7.1	+11.5	−10.2	−24.8	−18.6	11
12	−22.1	−18.6	+2.0	+9.3	+7.0	+23.8	+16.8	+7.2	+11.0	−10.9	−24.9	−18.5	12
13	−22.3	−18.2	+2.9	+8.8	+7.5	+24.1	+16.3	+7.5	+10.4	−11.6	−25.1	−18.4	13
14	−22.4	−17.7	+3.8	+8.2	+7.9	+24.3	+15.8	+7.7	+9.8	−12.2	−25.2	−18.3	14
15	−22.5	−17.2	+4.6	+7.7	+8.4	+24.6	+15.2	+8.1	+9.2	−12.9	−25.3	−18.3	15
16	−22.7	−16.7	+5.5	+7.2	+8.9	+24.7	+14.7	+8.4	+8.6	−13.5	−25.4	−18.4	16
17	−22.8	−16.1	+6.3	+6.8	+9.4	+24.8	+14.2	+8.8	+7.9	−14.1	−25.4	−18.5	17
18	−22.8	−15.6	+7.1	+6.3	+9.9	+24.9	+13.6	+9.2	+7.2	−14.8	−25.4	−18.7	18
19	−22.9	−15.0	+7.9	+5.9	+10.5	+24.9	+13.1	+9.6	+6.5	−15.4	−25.4	−18.8	19
20	−23.0	−14.4	+8.6	+5.5	+11.0	+24.9	+12.6	+10.0	+5.7	−16.0	−25.4	−19.1	20
21	−23.0	−13.7	+9.3	+5.2	+11.6	+24.9	+12.1	+10.5	+5.0	−16.5	−25.3	−19.3	21
22	−23.0	−13.1	+9.9	+4.9	+12.2	+24.7	+11.6	+10.9	+4.2	−17.1	−25.2	−19.5	22
23	−23.0	−12.4	+10.5	+4.6	+12.8	+24.6	+11.1	+11.3	+3.5	−17.6	−25.1	−19.8	23
24	−23.0	−11.7	+11.0	+4.4	+13.4	+24.4	+10.7	+11.7	+2.7	−18.2	−24.9	−20.1	24
25	−23.0	−10.9	+11.4	+4.2	+14.0	+24.2	+10.2	+12.1	+1.9	−18.7	−24.7	−20.3	25
26	−22.9	−10.2	+11.8	+4.1	+14.6	+23.9	+9.8	+12.4	+1.1	−19.2	−24.5	−20.6	26
27	−22.8	−9.4	+12.2	+4.0	+15.2	+23.6	+9.4	+12.8	+0.3	−19.7	−24.2	−20.9	27
28	−22.8	−8.6	+12.5	+3.9	+15.8	+23.3	+9.0	+13.0	−0.5	−20.1	−23.9	−21.2	28
29	−22.6	−7.8	+12.7	+3.9	+16.5	+23.0	+8.6	+13.3	−1.3	−20.6	−23.6	−21.4	29
30	−22.5	−7.0	+12.8	+4.0	+17.1	+22.6	+8.3	+13.5	−2.0	−21.0	−23.2	−21.7	30
31	−22.3	−6.1	+12.9	+4.1	+17.7	+22.2	+8.0	+13.6	−2.8	−21.5	−22.7	−21.9	31
32	−22.1	−5.3	+12.9	+4.2	+18.3	+21.8	+7.7	+13.7	−3.6	−21.9	−22.3	−22.2	32

Declination of Venus in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−13.6	+0.1	+7.3	+0.1	−0.8	+7.4	+17.0	+22.1	+18.3	+7.0	−8.0	−19.9	0
1	−13.2	+0.5	+7.3	−0.1	−0.6	+7.8	+17.2	+22.1	+18.0	+6.5	−8.5	−20.2	1
2	−12.8	+0.9	+7.3	−0.3	−0.4	+8.1	+17.5	+22.1	+17.7	+6.0	−8.9	−20.5	2
3	−12.3	+1.3	+7.2	−0.6	−0.3	+8.4	+17.8	+22.1	+17.4	+5.6	−9.4	−20.7	3
4	−11.9	+1.7	+7.2	−0.8	−0.1	+8.8	+18.0	+22.1	+17.1	+5.1	−9.8	−21.0	4
5	−11.5	+2.0	+7.1	−0.9	+0.1	+9.1	+18.3	+22.1	+16.8	+4.6	−10.3	−21.2	5
6	−11.0	+2.4	+7.0	−1.1	+0.3	+9.4	+18.5	+22.1	+16.5	+4.1	−10.8	−21.5	6
7	−10.6	+2.8	+6.8	−1.3	+0.6	+9.8	+18.7	+22.1	+16.2	+3.7	−11.2	−21.7	7
8	−10.1	+3.1	+6.7	−1.4	+0.8	+10.1	+19.0	+22.0	+15.9	+3.2	−11.7	−21.9	8
9	−9.7	+3.5	+6.5	−1.5	+1.0	+10.4	+19.2	+22.0	+15.5	+2.7	−12.1	−22.1	9
10	−9.2	+3.8	+6.3	−1.6	+1.3	+10.8	+19.4	+21.9	+15.2	+2.2	−12.5	−22.3	10
11	−8.8	+4.1	+6.1	−1.7	+1.5	+11.1	+19.6	+21.8	+14.8	+1.7	−13.0	−22.5	11
12	−8.3	+4.4	+5.8	−1.8	+1.8	+11.4	+19.8	+21.7	+14.5	+1.2	−13.4	−22.6	12
13	−7.9	+4.7	+5.5	−1.8	+2.0	+11.8	+20.0	+21.7	+14.1	+0.8	−13.8	−22.8	13
14	−7.4	+5.0	+5.3	−1.9	+2.3	+12.1	+20.2	+21.6	+13.7	+0.3	−14.2	−22.9	14
15	−7.0	+5.3	+5.0	−1.9	+2.5	+12.4	+20.4	+21.4	+13.3	−0.2	−14.6	−23.1	15
16	−6.5	+5.6	+4.7	−1.9	+2.8	+12.7	+20.5	+21.3	+12.9	−0.7	−15.0	−23.2	16
17	−6.0	+5.8	+4.4	−1.9	+3.1	+13.1	+20.7	+21.2	+12.6	−1.2	−15.4	−23.3	17
18	−5.6	+6.0	+4.1	−1.9	+3.4	+13.4	+20.9	+21.0	+12.2	−1.7	−15.8	−23.4	18
19	−5.1	+6.3	+3.7	−1.9	+3.7	+13.7	+21.0	+20.9	+11.7	−2.2	−16.2	−23.5	19
20	−4.7	+6.5	+3.4	−1.8	+4.0	+14.0	+21.2	+20.7	+11.3	−2.7	−16.6	−23.6	20
21	−4.2	+6.6	+3.1	−1.8	+4.3	+14.3	+21.3	+20.5	+10.9	−3.2	−16.9	−23.6	21
22	−3.8	+6.8	+2.8	−1.7	+4.6	+14.6	+21.4	+20.4	+10.5	−3.6	−17.3	−23.7	22
23	−3.4	+6.9	+2.4	−1.6	+4.9	+14.9	+21.5	+20.2	+10.1	−4.1	−17.7	−23.7	23
24	−2.9	+7.0	+2.1	−1.6	+5.2	+15.2	+21.6	+20.0	+9.6	−4.6	−18.0	−23.8	24
25	−2.5	+7.1	+1.8	−1.5	+5.5	+15.5	+21.7	+19.8	+9.2	−5.1	−18.3	−23.8	25
26	−2.0	+7.2	+1.5	−1.3	+5.8	+15.8	+21.8	+19.5	+8.8	−5.6	−18.7	−23.8	26
27	−1.6	+7.3	+1.2	−1.2	+6.1	+16.1	+21.9	+19.3	+8.3	−6.1	−19.0	−23.8	27
28	−1.2	+7.3	+0.9	−1.1	+6.5	+16.4	+21.9	+19.1	+7.9	−6.6	−19.3	−23.7	28
29	−0.8	+7.3	+0.6	−0.9	+6.8	+16.7	+22.0	+18.8	+7.4	−7.0	−19.6	−23.7	29
30	−0.3	+7.3	+0.4	−0.8	+7.1	+17.0	+22.0	+18.6	+7.0	−7.5	−19.9	−23.7	30
31	+0.1	+7.2	+0.1	−0.6	+7.4	+17.2	+22.1	+18.3	+6.5	−8.0	−20.2	−23.6	31
32	+0.5	+7.2	−0.1	−0.4	+7.8	+17.5	+22.1	+18.0	+6.0	−8.5	−20.5	−23.5	32

Declination of Mars in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+20.6	+24.1	+24.8	+23.1	+19.8	+14.8	+8.5	+0.9	−7.1	−14.5	−20.6	−23.9	0
1	+20.8	+24.2	+24.8	+23.1	+19.7	+14.6	+8.3	+0.7	−7.4	−14.7	−20.8	−24.0	1
2	+20.9	+24.3	+24.8	+23.0	+19.6	+14.4	+8.0	+0.4	−7.6	−14.9	−21.0	−24.0	2
3	+21.0	+24.3	+24.8	+22.9	+19.4	+14.2	+7.8	+0.1	−7.9	−15.2	−21.1	−24.1	3
4	+21.1	+24.4	+24.7	+22.8	+19.3	+14.0	+7.6	−0.1	−8.1	−15.4	−21.3	−24.1	4
5	+21.2	+24.5	+24.7	+22.7	+19.1	+13.8	+7.3	−0.4	−8.4	−15.6	−21.4	−24.1	5
6	+21.3	+24.5	+24.7	+22.6	+19.0	+13.6	+7.1	−0.6	−8.6	−15.8	−21.6	−24.2	6
7	+21.4	+24.6	+24.6	+22.5	+18.9	+13.4	+6.9	−0.9	−8.9	−16.1	−21.7	−24.2	7
8	+21.5	+24.6	+24.6	+22.4	+18.7	+13.2	+6.6	−1.1	−9.1	−16.3	−21.8	−24.2	8
9	+21.7	+24.7	+24.5	+22.3	+18.6	+13.0	+6.4	−1.4	−9.4	−16.5	−22.0	−24.2	9
10	+21.8	+24.7	+24.5	+22.2	+18.4	+12.8	+6.1	−1.7	−9.6	−16.7	−22.1	−24.2	10
11	+21.9	+24.7	+24.5	+22.1	+18.2	+12.6	+5.9	−1.9	−9.9	−16.9	−22.2	−24.3	11
12	+22.0	+24.8	+24.4	+22.0	+18.1	+12.4	+5.7	−2.2	−10.1	−17.1	−22.3	−24.3	12
13	+22.2	+24.8	+24.4	+21.9	+17.9	+12.2	+5.4	−2.4	−10.4	−17.3	−22.5	−24.3	13
14	+22.3	+24.8	+24.3	+21.8	+17.8	+12.0	+5.2	−2.7	−10.6	−17.5	−22.6	−24.3	14
15	+22.4	+24.9	+24.2	+21.7	+17.6	+11.8	+4.9	−3.0	−10.9	−17.7	−22.7	−24.2	15
16	+22.5	+24.9	+24.2	+21.6	+17.4	+11.6	+4.7	−3.2	−11.1	−17.9	−22.8	−24.2	16
17	+22.6	+24.9	+24.1	+21.5	+17.3	+11.4	+4.4	−3.5	−11.4	−18.1	−22.9	−24.2	17
18	+22.8	+24.9	+24.1	+21.4	+17.1	+11.2	+4.2	−3.7	−11.6	−18.3	−23.0	−24.2	18
19	+22.9	+24.9	+24.0	+21.2	+16.9	+10.9	+3.9	−4.0	−11.9	−18.5	−23.1	−24.2	19
20	+23.0	+24.9	+24.0	+21.1	+16.8	+10.7	+3.7	−4.3	−12.1	−18.7	−23.2	−24.1	20
21	+23.1	+24.9	+23.9	+21.0	+16.6	+10.5	+3.4	−4.5	−12.4	−18.9	−23.3	−24.1	21
22	+23.2	+24.9	+23.8	+20.9	+16.4	+10.3	+3.2	−4.8	−12.6	−19.1	−23.4	−24.0	22
23	+23.3	+24.9	+23.7	+20.8	+16.3	+10.1	+2.9	−5.0	−12.8	−19.3	−23.5	−24.0	23
24	+23.4	+24.9	+23.7	+20.6	+16.1	+9.8	+2.7	−5.3	−13.1	−19.5	−23.5	−23.9	24
25	+23.5	+24.9	+23.6	+20.5	+15.9	+9.6	+2.4	−5.5	−13.3	−19.6	−23.6	−23.9	25
26	+23.6	+24.9	+23.5	+20.4	+15.7	+9.4	+2.2	−5.8	−13.6	−19.8	−23.7	−23.8	26
27	+23.7	+24.9	+23.5	+20.2	+15.5	+9.2	+1.9	−6.1	−13.8	−20.0	−23.8	−23.8	27
28	+23.8	+24.8	+23.4	+20.1	+15.4	+8.9	+1.7	−6.3	−14.0	−20.2	−23.8	−23.7	28
29	+23.9	+24.8	+23.3	+20.0	+15.2	+8.7	+1.4	−6.6	−14.3	−20.3	−23.9	−23.6	29
30	+24.0	+24.8	+23.2	+19.8	+15.0	+8.5	+1.2	−6.8	−14.5	−20.5	−23.9	−23.5	30
31	+24.1	+24.8	+23.1	+19.7	+14.8	+8.3	+0.9	−7.1	−14.7	−20.6	−24.0	−23.5	31
32	+24.2	+24.7	+23.1	+19.6	+14.6	+8.0	+0.7	−7.4	−14.9	−20.8	−24.0	−23.4	32

Declination of Jupiter in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−17.3	−15.1	−12.9	−10.4	−8.3	−6.7	−6.1	−6.6	−8.0	−9.4	−10.0	−9.4	0
1	−17.2	−15.0	−12.8	−10.4	−8.3	−6.7	−6.1	−6.6	−8.0	−9.4	−10.0	−9.4	1
2	−17.1	−15.0	−12.8	−10.3	−8.2	−6.6	−6.1	−6.6	−8.1	−9.5	−10.0	−9.3	2
3	−17.1	−14.9	−12.7	−10.2	−8.1	−6.6	−6.1	−6.7	−8.1	−9.5	−10.0	−9.3	3
4	−17.0	−14.8	−12.6	−10.1	−8.1	−6.6	−6.1	−6.7	−8.2	−9.5	−10.0	−9.3	4
5	−17.0	−14.7	−12.5	−10.1	−8.0	−6.5	−6.1	−6.8	−8.2	−9.6	−10.0	−9.2	5
6	−16.9	−14.7	−12.4	−10.0	−7.9	−6.5	−6.1	−6.8	−8.3	−9.6	−10.0	−9.2	6
7	−16.8	−14.6	−12.3	−9.9	−7.9	−6.5	−6.1	−6.8	−8.3	−9.6	−9.9	−9.1	7
8	−16.8	−14.5	−12.3	−9.8	−7.8	−6.4	−6.1	−6.9	−8.4	−9.6	−9.9	−9.1	8
9	−16.7	−14.4	−12.2	−9.8	−7.8	−6.4	−6.1	−6.9	−8.4	−9.7	−9.9	−9.0	9
10	−16.6	−14.3	−12.1	−9.7	−7.7	−6.4	−6.1	−7.0	−8.5	−9.7	−9.9	−9.0	10
11	−16.6	−14.3	−12.0	−9.6	−7.7	−6.4	−6.1	−7.0	−8.5	−9.7	−9.9	−8.9	11
12	−16.5	−14.2	−11.9	−9.5	−7.6	−6.3	−6.1	−7.0	−8.6	−9.8	−9.9	−8.9	12
13	−16.4	−14.1	−11.9	−9.5	−7.5	−6.3	−6.1	−7.1	−8.6	−9.8	−9.9	−8.8	13
14	−16.3	−14.0	−11.8	−9.4	−7.5	−6.3	−6.2	−7.1	−8.7	−9.8	−9.9	−8.8	14
15	−16.3	−14.0	−11.7	−9.3	−7.4	−6.3	−6.2	−7.2	−8.7	−9.8	−9.8	−8.7	15
16	−16.2	−13.9	−11.6	−9.3	−7.4	−6.2	−6.2	−7.2	−8.8	−9.8	−9.8	−8.7	16
17	−16.1	−13.8	−11.5	−9.2	−7.3	−6.2	−6.2	−7.3	−8.8	−9.9	−9.8	−8.6	17
18	−16.1	−13.7	−11.5	−9.1	−7.3	−6.2	−6.2	−7.3	−8.9	−9.9	−9.8	−8.6	18
19	−16.0	−13.6	−11.4	−9.0	−7.2	−6.2	−6.2	−7.4	−8.9	−9.9	−9.7	−8.5	19
20	−15.9	−13.6	−11.3	−9.0	−7.2	−6.2	−6.3	−7.4	−9.0	−9.9	−9.7	−8.5	20
21	−15.9	−13.5	−11.2	−8.9	−7.1	−6.2	−6.3	−7.5	−9.0	−9.9	−9.7	−8.4	21
22	−15.8	−13.4	−11.1	−8.8	−7.1	−6.1	−6.3	−7.5	−9.1	−9.9	−9.7	−8.3	22
23	−15.7	−13.3	−11.1	−8.8	−7.0	−6.1	−6.3	−7.6	−9.1	−9.9	−9.6	−8.3	23
24	−15.6	−13.2	−11.0	−8.7	−7.0	−6.1	−6.4	−7.6	−9.1	−10.0	−9.6	−8.2	24
25	−15.6	−13.2	−10.9	−8.6	−7.0	−6.1	−6.4	−7.7	−9.2	−10.0	−9.6	−8.2	25
26	−15.5	−13.1	−10.8	−8.6	−6.9	−6.1	−6.4	−7.7	−9.2	−10.0	−9.5	−8.1	26
27	−15.4	−13.0	−10.8	−8.5	−6.9	−6.1	−6.4	−7.8	−9.3	−10.0	−9.5	−8.0	27
28	−15.3	−12.9	−10.7	−8.4	−6.8	−6.1	−6.5	−7.8	−9.3	−10.0	−9.5	−8.0	28
29	−15.3	−12.8	−10.6	−8.4	−6.8	−6.1	−6.5	−7.9	−9.4	−10.0	−9.4	−7.9	29
30	−15.2	−12.8	−10.5	−8.3	−6.8	−6.1	−6.5	−7.9	−9.4	−10.0	−9.4	−7.8	30
31	−15.1	−12.7	−10.4	−8.3	−6.7	−6.1	−6.6	−8.0	−9.4	−10.0	−9.4	−7.8	31
32	−15.0	−12.6	−10.4	−8.2	−6.7	−6.1	−6.6	−8.0	−9.5	−10.0	−9.3	−7.7	32

Declination of Saturn in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+4.0	+4.7	+5.7	+7.1	+8.5	+9.7	+10.6	+11.1	+11.0	+10.4	+9.6	+9.0	0
10	+4.1	+5.0	+6.2	+7.6	+8.9	+10.1	+10.8	+11.1	+10.8	+10.2	+9.4	+8.8	10
20	+4.4	+5.4	+6.6	+8.1	+9.3	+10.4	+11.0	+11.1	+10.6	+9.9	+9.1	+8.8	20
30	+4.6	+5.8	+7.1	+8.5	+9.7	+10.6	+11.1	+11.0	+10.4	+9.6	+9.0	+8.8	30
40	+5.0	+6.3	+7.5	+8.9	+10.0	+10.8	+11.1	+10.9	+10.2	+9.4	+8.8	+8.8	40

Declination of Uranus in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−8.7	−8.8	−8.6	−8.2	−7.7	−7.4	−7.3	−7.5	−7.9	−8.6	−9.3	−9.9	0
10	−8.7	−8.8	−8.5	−8.0	−7.6	−7.3	−7.3	−7.6	−8.1	−8.8	−9.5	−10.1	10
20	−8.8	−8.7	−8.4	−7.9	−7.5	−7.3	−7.4	−7.8	−8.4	−9.0	−9.7	−10.2	20
30	−8.8	−8.6	−8.2	−7.7	−7.4	−7.3	−7.5	−7.9	−8.6	−9.3	−9.9	−10.4	30
40	−8.8	−8.5	−8.1	−7.6	−7.3	−7.3	−7.6	−8.1	−8.8	−9.5	−10.1	−10.4	40

Declination of Neptune in 2057

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+20.3	+20.3	+20.3	+20.4	+20.5	+20.7	+20.8	+20.9	+21.0	+20.9	+20.9	+20.8	0
10	+20.3	+20.2	+20.3	+20.4	+20.6	+20.7	+20.9	+20.9	+21.0	+20.9	+20.8	+20.7	10
20	+20.3	+20.3	+20.3	+20.5	+20.6	+20.8	+20.9	+21.0	+21.0	+20.9	+20.8	+20.7	20
30	+20.3	+20.3	+20.4	+20.5	+20.7	+20.8	+20.9	+21.0	+20.9	+20.9	+20.8	+20.7	30
40	+20.2	+20.3	+20.4	+20.6	+20.7	+20.9	+20.9	+21.0	+20.9	+20.8	+20.7	+20.6	40

Meridian passages of the planets in 2057

The colours of the planets are those from Per Lilje (editor): Almanakk for Norge 2020

Rings of Saturn in 2057

Some events

	d
Aug.	10	B is at minimum (−17,3°)
Dec.	25	B is at maximum (−14,8°)

Distances from Earth to Mercury, Venus and Mars 2057

Nutation in obliquity 2057

Heliocentric positions of the planets in their orbits 2057

January · February · March · April · May · June · July · August · September · October · November · December · Outer planets

Heliocentric positions of the planets in their orbits 2057 January

Heliocentric positions of the planets in their orbits 2057 February

Heliocentric positions of the planets in their orbits 2057 March

Heliocentric positions of the planets in their orbits 2057 April

Heliocentric positions of the planets in their orbits 2057 May

Heliocentric positions of the planets in their orbits 2057 June

Heliocentric positions of the planets in their orbits 2057 July

Heliocentric positions of the planets in their orbits 2057 August

Heliocentric positions of the planets in their orbits 2057 September

Heliocentric positions of the planets in their orbits 2057 October

Heliocentric positions of the planets in their orbits 2057 November

Heliocentric positions of the planets in their orbits 2057 December

Heliocentric positions of the planets in their orbits 2057

Sources

• Jean Meeus: Astronomical Algorithms (1998)
• The magnitudes of Venus are approximations of the magnitudes given by NASA's HORIZONS Ephemeris Generator https://ssd.jpl.nasa.gov/horizons.cgi

Instructions for use

• The information on this page is approximate. Trust a printed almanac rather than this page when there are differences. Errors are usually small, but they do appear.
• Times are in Universal Time. Summer time or daylight-saving time is not used.
• Dec is declination (angular distance from the celestial equator).
• Magnitude (actually apparent magnitude) is the apparent brightness. Lesser numbers mean brighter light. Keep in mind that −2 is less than −1, just as on the thermometer scale.
• Phase is the ratio of the illuminated part of the disk to the whole disk of the planet. Examples:
  • 0.00 = 0%
  • 0.50 = 50%
  • 1.00 = 100%
• The diameter is given in arc seconds.
• 1 degree = 60 arc minutes = 3600 arc seconds.
• The algorithm used for the table of perigees and apogees of the Moon is, according to the source, checked against accurate numbers for the period June 1977–August 2022. The greatest error in that period is
  • For the time: 31 minutes for the perigee; 3 minutes for the apogee
  • For the distance: 12 km (0.002 Earth radii) for the perigee; 6 km (0.001 Earth radii) for the apogee
• The error might be greater outside that period.
• The diagram of the meridian passages of the planets applies to the centre of a time zone. For Central European Time (Norwegian standard time) this is 15° east. If the observation site is west of this meridian, 4 minutes must be added per degree difference. For places east of the meridian, one must subtract 4 minutes per degree difference. When summer time applies, one must add one hour. Example: Haugesund, Norway is located close to 5 degrees east. The difference is 10 degrees, and this must be multiplied by 4 minutes, so the answer is 40 minutes. A planet which, according to the diagram, passes the meridian at 22:00, passes the meridian at 22:40 in Haugesund. If summer time is in use this day, the answer is 23:40.
• The meridian is an imaginary great circle in the sky. It passes through the zenith and the celestial poles, and therefore also passes through the north and south points on the horizon.
  • When a celestial body passes the meridian, it is therefore due south or due north. Seen from a site in the northern hemisphere, a celestial body is at its highest when it passes the meridian in the south.
  • When the body passes the meridian in the north it is at its lowest and is not visible, unless it is far enough to the north that it is circumpolar.
  • A circumpolar body is above the horizon more than 24 hours and can be observed all night in that period.
• The saturnicentric latitude of the Earth is the angle between the centre of the Earth and the equatorial plane of Saturn (which is exactly the same as the ring plane of Saturn), with its vertex at the centre of Saturn.
  • If the latitude is positive, Earth is north of the equatorial plane of Saturn.
• The saturnicentric latitude of the Sun is the angle between the centre of the Sun and the equatorial plane of Saturn (which is exactly the same as the ring plane of Saturn), with its vertex at the centre of Saturn.
  • If the latitude is positive, the Sun is north of the equatorial plane of Saturn.
• 
• As viewed from Earth, the rings of Saturn form an ellipse. If the chart in the almanac shows that the position angle is zero, the major axis of the ellipse is parallel to the horizon when Saturn passes the southern meridian. If the position angle is e.g. +5 degrees, Saturn is tilted 5 degrees counterclockwise when the planet passes the meridian, and if the angle is −5 degrees, the planet is tilted 5 degrees clockwise at the time of meridian passage. This applies to midnorthern or higher northern latitudes and a normal view (not mirrored), as you have with the naked eye and with binoculars. Telescopes may show a mirrored image.
  • The figures below give an example of Saturn's movement in the sky.
  • 
    Figures 1, 2 and 3 show Saturn before, when and after, respectively, it is on the meridian, seen from midnorthern latitudes. This is an illustration only and does not provide exact or realistic angles and positions.
• AU is an abbreviation for astronomical unit, which is the mean distance from the Sun to the Earth. This mean distance is 149 597 870 kilometres, but we have rounded it to 150 million kilometres at the vertical axis of the diagram.
• Nutation is a small, periodic motion that the Earth makes, in addition to its orbit around the Sun and its rotation on its own axis. Calculations of the nutation over time give a function composed of many sine waves with different periods and different amplitudes.
  • Simply explained, a sine wave is a smooth and regular wave.
  • The nutation is partitioned into two components: nutation in obliquity (axial tilt) and nutation in longitude. When the nutation in obliquity changes, the Earth's axial tilt also changes correspondingly, and the tropic and polar circles do the same. In this almanac, we have a chart of nutation in obliquity, but not of nutation in longitude. A positive value of the nutation in obliquity means that the axial tilt is greater than the mean value, and when it is negative the axial tilt is smaller.
  • Remember that the polar circles have a latitude of 90 degrees minus the axial tilt, so when the nutation is positive, the true latitude of the Arctic Circle is south of its mean position.
• For particularly interested readers: Delta T, which is the difference between Terrestrial Time and Universal Time, is in this almanac set to +107 seconds.