Almanac 2051

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The information in this almanac is approximate. In any case, the accuracy should be sufficient for casual stargazing. Instructions for use are at the bottom of this page.

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 2051

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

January
52							1
1	2	3	4	5	6	7	8
2	9	10	11	12	13	14	15
3	16	17	18	19	20	21	22
4	23	24	25	26	27	28	29
5	30	31

February
5			1	2	3	4	5
6	6	7	8	9	10	11	12
7	13	14	15	16	17	18	19
8	20	21	22	23	24	25	26
9	27	28

March
9			1	2	3	4	5
10	6	7	8	9	10	11	12
11	13	14	15	16	17	18	19
12	20	21	22	23	24	25	26
13	27	28	29	30	31

April
13						1	2
14	3	4	5	6	7	8	9
15	10	11	12	13	14	15	16
16	17	18	19	20	21	22	23
17	24	25	26	27	28	29	30

May
18	1	2	3	4	5	6	7
19	8	9	10	11	12	13	14
20	15	16	17	18	19	20	21
21	22	23	24	25	26	27	28
22	29	30	31

June
22				1	2	3	4
23	5	6	7	8	9	10	11
24	12	13	14	15	16	17	18
25	19	20	21	22	23	24	25
26	26	27	28	29	30

July
26						1	2
27	3	4	5	6	7	8	9
28	10	11	12	13	14	15	16
29	17	18	19	20	21	22	23
30	24	25	26	27	28	29	30
31	31

August
31		1	2	3	4	5	6
32	7	8	9	10	11	12	13
33	14	15	16	17	18	19	20
34	21	22	23	24	25	26	27
35	28	29	30	31

September
35					1	2	3
36	4	5	6	7	8	9	10
37	11	12	13	14	15	16	17
38	18	19	20	21	22	23	24
39	25	26	27	28	29	30

October
39							1
40	2	3	4	5	6	7	8
41	9	10	11	12	13	14	15
42	16	17	18	19	20	21	22
43	23	24	25	26	27	28	29
44	30	31

November
44			1	2	3	4	5
45	6	7	8	9	10	11	12
46	13	14	15	16	17	18	19
47	20	21	22	23	24	25	26
48	27	28	29	30

December
48					1	2	3
49	4	5	6	7	8	9	10
50	11	12	13	14	15	16	17
51	18	19	20	21	22	23	24
52	25	26	27	28	29	30	31

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 2051

		d	h			d	h	m		d	h	m
Perigee:	Jan.	3	06	Equinoxes:	Mar.	20	15	59	Sep.	23	01	27
Apogee:	Jul.	6	10	Solstices:	Jun.	21	09	18	Dec.	21	22	34

Phases of the Moon 2051

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
												Jan.	5	04	29
Jan.	12	19	02	Jan.	19	12	38	Jan.	26	21	23	Feb.	4	01	40
Feb.	11	06	45	Feb.	17	22	17	Feb.	25	14	57	Mar.	5	19	47
Mar.	12	16	56	Mar.	19	09	34	Mar.	27	09	03	Apr.	4	09	41
Apr.	11	02	03	Apr.	17	22	38	Apr.	26	02	23	May	3	19	30
May	10	10	32	May	17	13	29	May	25	17	38	Jun.	2	02	15
Jun.	8	19	00	Jun.	16	05	55	Jun.	24	06	18	Jul.	1	07	15
Jul.	8	04	12	Jul.	15	23	21	Jul.	23	16	40	Jul.	30	11	52
Aug.	6	15	08	Aug.	14	16	49	Aug.	22	01	38	Aug.	28	17	29
Sep.	5	04	37	Sep.	13	09	20	Sep.	20	10	15	Sep.	27	01	22
Oct.	4	20	50	Oct.	13	00	12	Oct.	19	19	17	Oct.	26	12	39
Nov.	3	15	03	Nov.	11	13	07	Nov.	18	05	10	Nov.	25	04	03
Dec.	3	09	41	Dec.	11	00	07	Dec.	17	16	09	Dec.	24	23	21

Apsides of the Moon 2051

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	4	00	404 451	63.412
Jan.	15	18	365 917	57.370	Jan.	31	20	405 172	63.525
Feb.	12	19	360 556	56.530	Feb.	28	09	405 978	63.652
Mar.	13	05	357 406	56.036	Mar.	27	12	406 340	63.708
Apr.	10	17	357 336	56.025	Apr.	23	16	406 099	63.670
May	9	01	360 138	56.464	May	21	05	405 249	63.537
Jun.	6	01	364 805	57.196	Jun.	17	22	404 345	63.395
Jul.	2	21	369 220	57.888	Jul.	15	17	404 064	63.351
Jul.	28	01	368 218	57.731	Aug.	12	11	404 638	63.441
Aug.	24	09	363 297	56.960	Sep.	9	04	405 668	63.603
Sep.	21	12	358 919	56.273	Oct.	6	16	406 414	63.720
Oct.	19	23	356 808	55.942	Nov.	2	17	406 479	63.730
Nov.	17	11	357 775	56.094	Nov.	30	00	405 941	63.646
Dec.	15	20	361 744	56.716	Dec.	27	16	405 012	63.500

Passages of the Moon through the nodes 2051

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	7	05	43	Jul.	16	09	35	Jan.	20	03	35	Jul.	29	18	33
Feb.	3	07	48	Aug.	12	11	44	Feb.	16	04	27	Aug.	25	20	56
Mar.	2	09	34	Sep.	8	15	18	Mar.	15	09	57	Sep.	22	03	58
Mar.	29	13	32	Oct.	5	20	55	Apr.	11	19	58	Oct.	19	14	46
Apr.	25	19	39	Nov.	2	03	13	May	9	06	46	Nov.	16	01	34
May	23	02	03	Nov.	29	08	08	Jun.	5	14	37	Dec.	13	08	09
Jun.	19	06	50	Dec.	26	10	38	Jul.	2	17	54

Maximum declinations of the Moon 2051

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	23	08	46	+19.7	Jan.	10	12	25	−19.8
Feb.	19	14	53	+19.5	Feb.	6	23	17	−19.6
Mar.	18	21	07	+19.3	Mar.	6	08	26	−19.3
Apr.	15	05	12	+19.2	Apr.	2	15	13	−19.2
May	12	15	20	+19.2	Apr.	29	20	50	−19.2
Jun.	9	02	11	+19.2	May	27	03	09	−19.2
Jul.	6	11	57	+19.2	Jun.	23	11	15	−19.2
Aug.	2	19	38	+19.1	Jul.	20	20	52	−19.1
Aug.	30	01	37	+18.9	Aug.	17	06	45	−18.9
Sep.	26	07	36	+18.7	Sep.	13	15	30	−18.8
Oct.	23	15	33	+18.7	Oct.	10	22	36	−18.7
Nov.	20	02	16	+18.7	Nov.	7	04	46	−18.7
Dec.	17	14	21	+18.8	Dec.	4	11	27	−18.8
					Dec.	31	19	43	−18.8

Distance from the Earth to the Moon in 2051

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

Mercury 2051

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

Venus 2051

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

Mars 2051

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

Jupiter 2051

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

Saturn 2051

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

Uranus 2051

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

Neptune 2051

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

Planetary phenomena 2051

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2051

		d	h		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation				Mar.	13	23	18°	−0.2	Jul.	10	09	26°	+0.5	Nov.	4	21	23°	−0.2
Stationary				Mar.	21	06			Jul.	24	09			Nov.	15	11
Inferior conjunction				Mar.	30	22			Aug.	7	06			Nov.	25	20
Stationary				Apr.	13	14			Aug.	17	10			Dec.	5	08
Greatest western elongation				Apr.	27	22	27°	+0.5	Aug.	25	05	18°	−0.1	Dec.	13	18	21°	−0.4
Superior conjunction	Feb.	15	16	Jun.	4	14			Sep.	19	08

Venus 2051

		d	h		Mag
Superior conjunction	Aug.	5	07

Superior planets 2051

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars	Sep.	10	12
Jupiter	Sep.	9	02				Feb.	19	14	−2.5	Apr.	22	00
Saturn	Jan.	31	07	May	30	22	Aug.	9	21	+0.2	Oct.	18	12
Uranus	Sep.	19	00				Mar.	14	06	+5.3	May	29	08
Neptune	May	19	00	Sep.	3	05	Nov.	21	14	+7.8	Feb.	4	15

Planets in perihelion and in aphelion 2051

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury					Jan.	24	0.46670	69.817
	Mar.	9	0.30750	46.001	Apr.	22	0.46670	69.817
	Jun.	5	0.30750	46.001	Jul.	19	0.46670	69.817
	Sep.	1	0.30750	46.001	Oct.	15	0.46670	69.817
	Nov.	28	0.30750	46.001

Venus					Apr.	14	0.72818	108.934
	Aug.	4	0.71848	107.483	Nov.	25	0.72818	108.934

Earth	Jan.	3	0.98330	147.100	Jul.	6	1.01673	152.100

Mars					Aug.	16	1.66620	249.260

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 2051

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

Magnitudes, phases and diameters of the planets in 2051

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	0.64	7	−4.5	0.52	24	+0.3	8	−2.3	41	+0.7	15	Jan.	0
	5	−0.3	0.74	6	−4.5	0.55	23	+0.4	8	−2.4	42	+0.7	15		5
	10	−0.3	0.81	6	−4.4	0.57	22	+0.5	7	−2.4	43	+0.7	15		10
	15	−0.3	0.86	5	−4.4	0.59	21	+0.6	7	−2.4	43	+0.6	15		15
	20	−0.4	0.90	5	−4.3	0.61	20	+0.6	7	−2.4	44	+0.6	15		20
	25	−0.4	0.93	5	−4.3	0.63	19	+0.7	7	−2.5	44	+0.6	15		25
	30	−0.6	0.95	5	−4.3	0.65	18	+0.8	7	−2.5	44	+0.6	15		30
Feb.	4	−0.8	0.97	5	−4.2	0.67	17	+0.8	6	−2.5	45	+0.6	15	Feb.	4
	9	−1.1	0.99	5	−4.2	0.69	17	+0.9	6	−2.5	45	+0.7	15		9
	14	−1.4	1.00	5	−4.2	0.71	16	+1.0	6	−2.5	45	+0.7	15		14
	19	−1.5	0.99	5	−4.1	0.72	16	+1.0	6	−2.5	45	+0.7	15		19
	24	−1.4	0.97	5	−4.1	0.74	15	+1.1	6	−2.5	45	+0.7	15		24
Mar.	1	−1.3	0.90	5	−4.1	0.75	15	+1.1	6	−2.5	45	+0.7	15	Mar.	1
	6	−1.0	0.77	6	−4.0	0.77	14	+1.2	5	−2.5	45	+0.7	15		6
	11	−0.6	0.58	7	−4.0	0.78	14	+1.2	5	−2.5	44	+0.8	16		11
	16	+0.1	0.36	8	−4.0	0.80	14	+1.3	5	−2.5	44	+0.8	16		16
	21	+1.4	0.17	9	−4.0	0.81	13	+1.3	5	−2.4	44	+0.8	16		21
	26	+3.3	0.05	10	−4.0	0.82	13	+1.4	5	−2.4	43	+0.8	16		26
	31	…	0.00	11	−3.9	0.83	13	+1.4	5	−2.4	43	+0.8	16		31
Apr.	5	+3.6	0.04	11	−3.9	0.85	12	+1.5	5	−2.4	42	+0.8	16	Apr.	5
	10	+2.2	0.12	11	−3.9	0.86	12	+1.5	5	−2.3	42	+0.8	16		10
	15	+1.4	0.21	10	−3.9	0.87	12	+1.5	5	−2.3	41	+0.8	16		15
	20	+0.9	0.31	9	−3.9	0.88	12	+1.6	4	−2.3	40	+0.8	16		20
	25	+0.6	0.40	8	−3.9	0.89	12	+1.6	4	−2.2	40	+0.8	16		25
	30	+0.4	0.48	8	−3.9	0.90	11	+1.6	4	−2.2	39	+0.8	17		30
May	5	+0.2	0.55	7	−3.9	0.91	11	+1.6	4	−2.2	39	+0.8	17	May	5
	10	−0.1	0.63	7	−3.8	0.92	11	+1.7	4	−2.1	38	+0.7	17		10
	15	−0.3	0.71	6	−3.8	0.93	11	+1.7	4	−2.1	37	+0.7	17		15
	20	−0.6	0.80	6	−3.8	0.93	11	+1.7	4	−2.1	37	+0.7	17		20
	25	−1.1	0.89	5	−3.8	0.94	11	+1.7	4	−2.0	36	+0.7	17		25
	30	−1.6	0.96	5	−3.8	0.95	10	+1.8	4	−2.0	36	+0.7	17		30
Jun.	4	−2.3	1.00	5	−3.8	0.96	10	+1.8	4	−2.0	35	+0.6	18	Jun.	4
	9	−1.7	0.97	5	−3.8	0.96	10	+1.8	4	−1.9	35	+0.6	18		9
	14	−1.2	0.90	5	−3.8	0.97	10	+1.8	4	−1.9	34	+0.6	18		14
	19	−0.7	0.80	6	−3.8	0.97	10	+1.8	4	−1.9	34	+0.6	18		19
	24	−0.4	0.70	6	−3.8	0.98	10	+1.8	4	−1.9	34	+0.5	18		24
	29	−0.1	0.61	7	−3.9	0.98	10	+1.8	4	−1.8	33	+0.5	18		29
Jul.	4	+0.2	0.53	7	−3.9	0.99	10	+1.8	4	−1.8	33	+0.5	18	Jul.	4
	9	+0.5	0.44	8	−3.9	0.99	10	+1.8	4	−1.8	33	+0.4	18		9
	14	+0.7	0.36	9	−3.9	0.99	10	+1.8	4	−1.8	32	+0.4	19		14
	19	+1.1	0.27	9	−3.9	1.00	10	+1.8	4	−1.8	32	+0.4	19		19
	24	+1.7	0.18	10	−3.9	1.00	10	+1.8	4	−1.7	32	+0.3	19		24
	29	+2.5	0.10	11	−3.9	1.00	10	+1.8	4	−1.7	32	+0.3	19		29
Aug.	3	+3.9	0.03	11	…	1.00	10	+1.8	4	−1.7	31	+0.3	19	Aug.	3
	8	+4.7	0.01	11	…	1.00	10	+1.8	4	−1.7	31	+0.2	19		8
	13	+3.1	0.06	10	−3.9	1.00	10	+1.8	4	−1.7	31	+0.2	19		13
	18	+1.5	0.17	9	−3.9	1.00	10	+1.8	4	−1.7	31	+0.2	19		18
	23	+0.3	0.34	8	−3.9	1.00	10	+1.8	4	−1.7	31	+0.3	19		23
	28	−0.5	0.55	7	−3.9	0.99	10	+1.8	4	−1.7	31	+0.3	19		28
Sep.	2	−1.0	0.74	6	−3.9	0.99	10	+1.8	4	−1.7	31	+0.3	19	Sep.	2
	7	−1.3	0.89	5	−3.9	0.99	10	+1.7	4	−1.7	31	+0.3	19		7
	12	−1.5	0.97	5	−3.9	0.98	10	+1.7	4	−1.7	31	+0.4	18		12
	17	−1.6	1.00	5	−3.9	0.98	10	+1.7	4	−1.7	31	+0.4	18		17
	22	−1.5	1.00	5	−3.9	0.97	10	+1.7	4	−1.7	31	+0.4	18		22
	27	−1.0	0.98	5	−3.9	0.97	10	+1.8	4	−1.7	31	+0.4	18		27
Oct.	2	−0.7	0.96	5	−3.9	0.96	10	+1.8	4	−1.7	31	+0.5	18	Oct.	2
	7	−0.5	0.94	5	−3.9	0.96	10	+1.8	4	−1.7	31	+0.5	18		7
	12	−0.4	0.91	5	−3.9	0.95	10	+1.8	4	−1.7	31	+0.5	18		12
	17	−0.3	0.87	5	−3.9	0.95	11	+1.8	4	−1.7	31	+0.5	18		17
	22	−0.2	0.83	5	−3.9	0.94	11	+1.8	4	−1.7	32	+0.6	17		22
	27	−0.2	0.78	6	−3.9	0.93	11	+1.8	4	−1.7	32	+0.6	17		27
Nov.	1	−0.2	0.71	6	−3.9	0.92	11	+1.8	4	−1.8	32	+0.6	17	Nov.	1
	6	−0.2	0.61	7	−3.9	0.91	11	+1.8	4	−1.8	32	+0.6	17		6
	11	0.0	0.47	8	−3.9	0.91	11	+1.7	4	−1.8	33	+0.7	17		11
	16	+0.6	0.29	9	−3.9	0.90	12	+1.7	4	−1.8	33	+0.7	17		16
	21	+2.2	0.09	10	−3.9	0.89	12	+1.7	4	−1.8	33	+0.7	17		21
	26	…	0.00	10	−3.9	0.88	12	+1.7	4	−1.9	34	+0.7	16		26
Dec.	1	+1.9	0.11	9	−3.9	0.87	12	+1.7	4	−1.9	34	+0.7	16	Dec.	1
	6	+0.2	0.33	8	−3.9	0.86	12	+1.7	4	−1.9	35	+0.7	16		6
	11	−0.3	0.54	7	−4.0	0.85	13	+1.7	4	−1.9	35	+0.7	16		11
	16	−0.4	0.69	6	−4.0	0.84	13	+1.6	4	−2.0	36	+0.7	16		16
	21	−0.5	0.79	6	−4.0	0.82	13	+1.6	4	−2.0	36	+0.8	16		21
	26	−0.4	0.86	5	−4.0	0.81	13	+1.6	4	−2.0	37	+0.8	16		26
	31	−0.5	0.90	5	−4.0	0.80	14	+1.6	4	−2.1	37	+0.8	16		31
	36	−0.5	0.93	5	−4.0	0.78	14	+1.6	4	−2.1	38	+0.8	16		36

Declinations of the Sun, Moon and planets in 2051

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

Declinations of the Sun and planets in 2051

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

Declination of the Sun in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.5	−8.1	+4.1	+14.7	+21.9	+23.2	+18.3	+8.7	−2.7	−14.0	−21.6	0
1	−23.0	−17.2	−7.7	+4.4	+15.0	+22.0	+23.1	+18.1	+8.4	−3.1	−14.3	−21.7	1
2	−22.9	−16.9	−7.3	+4.8	+15.3	+22.1	+23.0	+17.8	+8.0	−3.5	−14.7	−21.9	2
3	−22.8	−16.6	−6.9	+5.2	+15.6	+22.3	+23.0	+17.6	+7.6	−3.9	−15.0	−22.0	3
4	−22.7	−16.3	−6.5	+5.6	+15.9	+22.4	+22.9	+17.3	+7.3	−4.2	−15.3	−22.2	4
5	−22.6	−16.0	−6.2	+6.0	+16.2	+22.5	+22.8	+17.0	+6.9	−4.6	−15.6	−22.3	5
6	−22.5	−15.7	−5.8	+6.4	+16.5	+22.6	+22.7	+16.8	+6.5	−5.0	−15.9	−22.4	6
7	−22.4	−15.4	−5.4	+6.7	+16.7	+22.7	+22.6	+16.5	+6.2	−5.4	−16.2	−22.6	7
8	−22.3	−15.1	−5.0	+7.1	+17.0	+22.8	+22.5	+16.2	+5.8	−5.8	−16.5	−22.7	8
9	−22.1	−14.8	−4.6	+7.5	+17.3	+22.9	+22.4	+15.9	+5.4	−6.2	−16.8	−22.8	9
10	−22.0	−14.4	−4.2	+7.9	+17.6	+23.0	+22.3	+15.6	+5.0	−6.5	−17.1	−22.9	10
11	−21.8	−14.1	−3.8	+8.2	+17.8	+23.1	+22.1	+15.3	+4.6	−6.9	−17.3	−23.0	11
12	−21.7	−13.8	−3.4	+8.6	+18.1	+23.1	+22.0	+15.0	+4.3	−7.3	−17.6	−23.0	12
13	−21.5	−13.4	−3.0	+9.0	+18.3	+23.2	+21.9	+14.7	+3.9	−7.7	−17.9	−23.1	13
14	−21.3	−13.1	−2.6	+9.3	+18.6	+23.2	+21.7	+14.4	+3.5	−8.0	−18.1	−23.2	14
15	−21.2	−12.8	−2.2	+9.7	+18.8	+23.3	+21.6	+14.1	+3.1	−8.4	−18.4	−23.2	15
16	−21.0	−12.4	−1.8	+10.0	+19.0	+23.3	+21.4	+13.8	+2.7	−8.8	−18.7	−23.3	16
17	−20.8	−12.1	−1.4	+10.4	+19.3	+23.4	+21.2	+13.5	+2.3	−9.2	−18.9	−23.3	17
18	−20.6	−11.7	−1.1	+10.7	+19.5	+23.4	+21.1	+13.2	+2.0	−9.5	−19.1	−23.4	18
19	−20.4	−11.4	−0.7	+11.1	+19.7	+23.4	+20.9	+12.8	+1.6	−9.9	−19.4	−23.4	19
20	−20.2	−11.0	−0.3	+11.4	+19.9	+23.4	+20.7	+12.5	+1.2	−10.2	−19.6	−23.4	20
21	−20.0	−10.7	+0.1	+11.8	+20.1	+23.4	+20.5	+12.2	+0.8	−10.6	−19.8	−23.4	21
22	−19.7	−10.3	+0.5	+12.1	+20.3	+23.4	+20.3	+11.9	+0.4	−11.0	−20.1	−23.4	22
23	−19.5	−9.9	+0.9	+12.4	+20.5	+23.4	+20.1	+11.5	0.0	−11.3	−20.3	−23.4	23
24	−19.3	−9.6	+1.3	+12.8	+20.7	+23.4	+19.9	+11.2	−0.4	−11.7	−20.5	−23.4	24
25	−19.0	−9.2	+1.7	+13.1	+20.9	+23.4	+19.7	+10.8	−0.8	−12.0	−20.7	−23.4	25
26	−18.8	−8.8	+2.1	+13.4	+21.1	+23.4	+19.5	+10.5	−1.1	−12.3	−20.9	−23.4	26
27	−18.5	−8.4	+2.5	+13.8	+21.2	+23.3	+19.3	+10.1	−1.5	−12.7	−21.1	−23.3	27
28	−18.3	−8.1	+2.9	+14.1	+21.4	+23.3	+19.0	+9.8	−1.9	−13.0	−21.2	−23.3	28
29	−18.0	−7.7	+3.3	+14.4	+21.6	+23.2	+18.8	+9.4	−2.3	−13.4	−21.4	−23.2	29
30	−17.7	−7.3	+3.7	+14.7	+21.7	+23.2	+18.6	+9.1	−2.7	−13.7	−21.6	−23.2	30
31	−17.5	−6.9	+4.1	+15.0	+21.9	+23.1	+18.3	+8.7	−3.1	−14.0	−21.7	−23.1	31
32	−17.2	−6.5	+4.4	+15.3	+22.0	+23.0	+18.1	+8.4	−3.5	−14.3	−21.9	−23.0	32

Declination of the Moon in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+12.2	−1.7	−4.3	−16.1	−19.2	−12.1	−0.6	+14.7	+18.4	+12.3	−1.4	−11.0	0
1	+8.6	−5.6	−8.1	−18.0	−18.6	−8.3	+4.0	+17.2	+16.9	+9.0	−5.2	−13.9	1
2	+4.8	−9.3	−11.5	−19.0	−17.0	−4.0	+8.4	+18.7	+14.6	+5.3	−8.7	−16.2	2
3	+0.8	−12.6	−14.4	−19.1	−14.5	+0.6	+12.4	+19.0	+11.6	+1.5	−11.9	−17.9	3
4	−3.2	−15.5	−16.8	−18.3	−11.1	+5.3	+15.6	+18.3	+8.2	−2.4	−14.6	−18.7	4
5	−7.1	−17.7	−18.5	−16.4	−7.1	+9.7	+17.9	+16.5	+4.4	−6.1	−16.7	−18.7	5
6	−10.7	−19.1	−19.3	−13.6	−2.6	+13.5	+19.1	+14.0	+0.5	−9.5	−18.1	−17.8	6
7	−13.9	−19.6	−19.1	−10.0	+2.2	+16.6	+19.1	+10.7	−3.4	−12.6	−18.7	−15.9	7
8	−16.6	−19.0	−17.9	−5.6	+6.9	+18.5	+17.9	+7.1	−7.1	−15.2	−18.4	−13.3	8
9	−18.6	−17.3	−15.7	−0.8	+11.2	+19.2	+15.8	+3.2	−10.5	−17.1	−17.3	−10.0	9
10	−19.6	−14.4	−12.4	+4.1	+14.9	+18.7	+12.9	−0.8	−13.4	−18.3	−15.3	−6.1	10
11	−19.6	−10.7	−8.3	+8.8	+17.5	+17.1	+9.4	−4.6	−15.8	−18.7	−12.4	−1.9	11
12	−18.5	−6.2	−3.5	+13.0	+18.9	+14.7	+5.6	−8.3	−17.6	−18.2	−8.9	+2.6	12
13	−16.2	−1.2	+1.5	+16.2	+19.1	+11.5	+1.7	−11.6	−18.6	−16.8	−4.8	+7.0	13
14	−12.9	+3.7	+6.4	+18.3	+18.1	+7.9	−2.2	−14.4	−18.7	−14.5	−0.3	+11.1	14
15	−8.8	+8.4	+10.9	+19.1	+16.2	+4.1	−6.1	−16.7	−17.9	−11.3	+4.3	+14.6	15
16	−4.2	+12.5	+14.6	+18.8	+13.4	+0.1	−9.6	−18.2	−16.1	−7.5	+8.8	+17.2	16
17	+0.7	+15.8	+17.3	+17.5	+10.1	−3.7	−12.8	−18.9	−13.4	−3.1	+12.8	+18.6	17
18	+5.4	+18.1	+18.8	+15.3	+6.5	−7.5	−15.5	−18.7	−9.9	+1.7	+15.9	+18.7	18
19	+9.9	+19.3	+19.3	+12.4	+2.7	−10.9	−17.5	−17.5	−5.6	+6.4	+18.0	+17.6	19
20	+13.7	+19.4	+18.6	+9.0	−1.2	−14.0	−18.8	−15.3	−0.9	+10.7	+18.7	+15.4	20
21	+16.7	+18.5	+17.0	+5.4	−5.1	−16.4	−19.1	−12.1	+3.9	+14.4	+18.2	+12.5	21
22	+18.7	+16.7	+14.6	+1.5	−8.7	−18.2	−18.5	−8.1	+8.5	+17.0	+16.6	+8.9	22
23	+19.6	+14.1	+11.6	−2.4	−12.0	−19.1	−16.8	−3.7	+12.5	+18.4	+14.1	+5.1	23
24	+19.5	+10.9	+8.2	−6.1	−14.9	−19.1	−14.2	+1.1	+15.6	+18.6	+10.9	+1.2	24
25	+18.3	+7.4	+4.5	−9.7	−17.1	−18.1	−10.7	+5.8	+17.7	+17.6	+7.4	−2.7	25
26	+16.2	+3.5	+0.6	−12.9	−18.6	−16.0	−6.5	+10.1	+18.7	+15.7	+3.6	−6.5	26
27	+13.4	−0.4	−3.3	−15.6	−19.2	−13.1	−1.9	+13.8	+18.5	+13.0	−0.3	−9.9	27
28	+10.0	−4.3	−7.1	−17.6	−18.9	−9.4	+2.7	+16.5	+17.2	+9.8	−4.1	−12.9	28
29	+6.2	−8.1	−10.6	−18.8	−17.5	−5.1	+7.2	+18.2	+15.1	+6.2	−7.7	−15.5	29
30	+2.3	−11.5	−13.6	−19.2	−15.2	−0.6	+11.3	+18.9	+12.3	+2.4	−11.0	−17.4	30
31	−1.7	−14.4	−16.1	−18.6	−12.1	+4.0	+14.7	+18.4	+9.0	−1.4	−13.9	−18.5	31
32	−5.6	−16.8	−18.0	−17.0	−8.3	+8.4	+17.2	+16.9	+5.3	−5.2	−16.2	−18.8	32

Declination of Mercury in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.9	−21.8	−4.8	+6.7	+2.4	+20.8	+21.0	+10.5	+15.2	−5.4	−22.8	−17.9	0
1	−21.1	−21.5	−3.9	+6.2	+2.8	+21.4	+20.6	+10.6	+14.9	−6.2	−23.1	−17.5	1
2	−21.3	−21.1	−3.0	+5.7	+3.2	+21.9	+20.1	+10.7	+14.5	−6.9	−23.4	−17.1	2
3	−21.6	−20.8	−2.1	+5.1	+3.6	+22.4	+19.7	+10.8	+14.1	−7.6	−23.6	−16.9	3
4	−21.8	−20.4	−1.2	+4.6	+4.1	+22.9	+19.2	+11.0	+13.6	−8.4	−23.8	−16.7	4
5	−22.0	−20.1	−0.4	+4.1	+4.6	+23.3	+18.8	+11.2	+13.1	−9.1	−24.0	−16.6	5
6	−22.2	−19.6	+0.5	+3.6	+5.1	+23.7	+18.3	+11.4	+12.5	−9.8	−24.2	−16.6	6
7	−22.4	−19.2	+1.4	+3.1	+5.6	+24.1	+17.8	+11.7	+11.9	−10.4	−24.4	−16.6	7
8	−22.6	−18.7	+2.2	+2.6	+6.1	+24.4	+17.3	+12.0	+11.3	−11.1	−24.5	−16.7	8
9	−22.8	−18.3	+3.0	+2.2	+6.7	+24.6	+16.9	+12.3	+10.6	−11.8	−24.6	−16.9	9
10	−22.9	−17.8	+3.8	+1.8	+7.2	+24.8	+16.4	+12.6	+10.0	−12.4	−24.6	−17.1	10
11	−23.0	−17.2	+4.5	+1.5	+7.8	+25.0	+15.9	+13.0	+9.3	−13.1	−24.7	−17.3	11
12	−23.2	−16.7	+5.2	+1.1	+8.4	+25.1	+15.5	+13.3	+8.5	−13.7	−24.7	−17.6	12
13	−23.3	−16.1	+5.9	+0.9	+9.0	+25.2	+15.0	+13.7	+7.8	−14.3	−24.6	−17.8	13
14	−23.4	−15.5	+6.5	+0.7	+9.7	+25.2	+14.6	+14.0	+7.0	−14.9	−24.5	−18.1	14
15	−23.4	−14.9	+7.0	+0.5	+10.3	+25.2	+14.2	+14.3	+6.3	−15.5	−24.4	−18.5	15
16	−23.5	−14.2	+7.5	+0.3	+10.9	+25.1	+13.7	+14.6	+5.5	−16.1	−24.2	−18.8	16
17	−23.5	−13.5	+8.0	+0.2	+11.6	+25.0	+13.3	+14.9	+4.7	−16.6	−24.0	−19.1	17
18	−23.5	−12.8	+8.3	+0.2	+12.3	+24.9	+13.0	+15.2	+3.9	−17.2	−23.8	−19.5	18
19	−23.5	−12.1	+8.6	+0.2	+12.9	+24.7	+12.6	+15.5	+3.1	−17.7	−23.4	−19.8	19
20	−23.5	−11.4	+8.8	+0.2	+13.6	+24.5	+12.3	+15.7	+2.3	−18.2	−23.1	−20.1	20
21	−23.5	−10.6	+9.0	+0.3	+14.3	+24.2	+11.9	+15.9	+1.5	−18.7	−22.7	−20.5	21
22	−23.4	−9.8	+9.0	+0.4	+15.0	+24.0	+11.6	+16.0	+0.7	−19.2	−22.2	−20.8	22
23	−23.3	−9.0	+9.0	+0.5	+15.7	+23.7	+11.4	+16.1	0.0	−19.7	−21.7	−21.1	23
24	−23.2	−8.2	+9.0	+0.7	+16.3	+23.4	+11.1	+16.2	−0.8	−20.2	−21.1	−21.4	24
25	−23.0	−7.4	+8.8	+0.9	+17.0	+23.0	+10.9	+16.2	−1.6	−20.6	−20.6	−21.7	25
26	−22.9	−6.5	+8.6	+1.1	+17.7	+22.7	+10.8	+16.1	−2.4	−21.0	−20.0	−22.0	26
27	−22.7	−5.7	+8.3	+1.4	+18.4	+22.3	+10.6	+16.1	−3.2	−21.4	−19.4	−22.2	27
28	−22.5	−4.8	+8.0	+1.7	+19.0	+21.9	+10.5	+15.9	−3.9	−21.8	−18.8	−22.5	28
29	−22.3	−3.9	+7.6	+2.0	+19.6	+21.5	+10.5	+15.7	−4.7	−22.1	−18.3	−22.7	29
30	−22.0	−3.0	+7.2	+2.4	+20.2	+21.0	+10.5	+15.5	−5.4	−22.5	−17.9	−23.0	30
31	−21.8	−2.1	+6.7	+2.8	+20.8	+20.6	+10.5	+15.2	−6.2	−22.8	−17.5	−23.2	31
32	−21.5	−1.2	+6.2	+3.2	+21.4	+20.1	+10.6	+14.9	−6.9	−23.1	−17.1	−23.4	32

Declination of Venus in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−15.3	−21.1	−19.5	−9.7	+3.9	+17.0	+23.3	+19.7	+7.3	−7.7	−20.6	−24.8	0
1	−15.6	−21.2	−19.3	−9.3	+4.4	+17.3	+23.4	+19.4	+6.9	−8.2	−20.9	−24.7	1
2	−15.8	−21.2	−19.1	−8.9	+4.9	+17.7	+23.4	+19.1	+6.4	−8.7	−21.2	−24.7	2
3	−16.1	−21.3	−18.9	−8.5	+5.3	+18.0	+23.5	+18.8	+5.9	−9.2	−21.5	−24.6	3
4	−16.3	−21.3	−18.7	−8.0	+5.8	+18.3	+23.5	+18.5	+5.4	−9.7	−21.8	−24.5	4
5	−16.6	−21.4	−18.4	−7.6	+6.3	+18.6	+23.5	+18.2	+4.9	−10.2	−22.0	−24.4	5
6	−16.8	−21.4	−18.2	−7.2	+6.7	+18.9	+23.5	+17.8	+4.4	−10.6	−22.3	−24.3	6
7	−17.1	−21.4	−17.9	−6.7	+7.2	+19.2	+23.5	+17.5	+3.9	−11.1	−22.5	−24.2	7
8	−17.3	−21.4	−17.7	−6.3	+7.6	+19.5	+23.4	+17.1	+3.4	−11.6	−22.7	−24.1	8
9	−17.5	−21.4	−17.4	−5.8	+8.1	+19.8	+23.4	+16.8	+2.9	−12.0	−23.0	−23.9	9
10	−17.8	−21.4	−17.1	−5.4	+8.5	+20.1	+23.3	+16.4	+2.4	−12.5	−23.2	−23.8	10
11	−18.0	−21.4	−16.9	−4.9	+9.0	+20.3	+23.3	+16.1	+1.9	−12.9	−23.4	−23.6	11
12	−18.2	−21.3	−16.6	−4.5	+9.4	+20.6	+23.2	+15.7	+1.4	−13.4	−23.5	−23.4	12
13	−18.4	−21.3	−16.3	−4.0	+9.9	+20.8	+23.1	+15.3	+0.9	−13.8	−23.7	−23.2	13
14	−18.6	−21.3	−16.0	−3.6	+10.3	+21.0	+23.0	+14.9	+0.4	−14.3	−23.9	−23.0	14
15	−18.8	−21.2	−15.6	−3.1	+10.7	+21.3	+22.9	+14.5	−0.2	−14.7	−24.0	−22.8	15
16	−19.0	−21.1	−15.3	−2.6	+11.2	+21.5	+22.8	+14.1	−0.7	−15.1	−24.2	−22.6	16
17	−19.2	−21.0	−15.0	−2.2	+11.6	+21.7	+22.7	+13.7	−1.2	−15.5	−24.3	−22.3	17
18	−19.4	−21.0	−14.7	−1.7	+12.0	+21.9	+22.5	+13.3	−1.7	−16.0	−24.4	−22.1	18
19	−19.6	−20.9	−14.3	−1.2	+12.4	+22.0	+22.4	+12.8	−2.2	−16.4	−24.5	−21.8	19
20	−19.7	−20.7	−14.0	−0.8	+12.8	+22.2	+22.2	+12.4	−2.7	−16.8	−24.6	−21.6	20
21	−19.9	−20.6	−13.6	−0.3	+13.3	+22.4	+22.0	+12.0	−3.2	−17.1	−24.7	−21.3	21
22	−20.0	−20.5	−13.2	+0.2	+13.7	+22.5	+21.8	+11.5	−3.7	−17.5	−24.7	−21.0	22
23	−20.2	−20.4	−12.9	+0.7	+14.1	+22.7	+21.6	+11.1	−4.2	−17.9	−24.8	−20.7	23
24	−20.3	−20.2	−12.5	+1.1	+14.4	+22.8	+21.4	+10.6	−4.7	−18.3	−24.8	−20.4	24
25	−20.5	−20.0	−12.1	+1.6	+14.8	+22.9	+21.2	+10.2	−5.2	−18.6	−24.8	−20.1	25
26	−20.6	−19.9	−11.7	+2.1	+15.2	+23.0	+21.0	+9.7	−5.7	−19.0	−24.9	−19.7	26
27	−20.7	−19.7	−11.3	+2.5	+15.6	+23.1	+20.7	+9.2	−6.2	−19.3	−24.9	−19.4	27
28	−20.8	−19.5	−10.9	+3.0	+15.9	+23.2	+20.5	+8.8	−6.7	−19.7	−24.9	−19.0	28
29	−20.9	−19.3	−10.5	+3.5	+16.3	+23.3	+20.2	+8.3	−7.2	−20.0	−24.8	−18.7	29
30	−21.0	−19.1	−10.1	+3.9	+16.7	+23.3	+20.0	+7.8	−7.7	−20.3	−24.8	−18.3	30
31	−21.1	−18.9	−9.7	+4.4	+17.0	+23.4	+19.7	+7.3	−8.2	−20.6	−24.7	−18.0	31
32	−21.2	−18.7	−9.3	+4.9	+17.3	+23.4	+19.4	+6.9	−8.7	−20.9	−24.7	−17.6	32

Declination of Mars in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+1.8	+10.1	+16.6	+21.9	+24.4	+24.0	+20.9	+15.5	+8.4	+0.7	−7.3	−14.4	0
1	+2.1	+10.3	+16.8	+22.0	+24.4	+24.0	+20.8	+15.3	+8.1	+0.5	−7.5	−14.6	1
2	+2.4	+10.6	+17.0	+22.1	+24.5	+23.9	+20.6	+15.0	+7.9	+0.2	−7.8	−14.8	2
3	+2.6	+10.8	+17.2	+22.2	+24.5	+23.8	+20.5	+14.8	+7.7	0.0	−8.0	−15.0	3
4	+2.9	+11.1	+17.4	+22.4	+24.5	+23.8	+20.3	+14.6	+7.4	−0.3	−8.3	−15.2	4
5	+3.2	+11.3	+17.6	+22.5	+24.5	+23.7	+20.2	+14.4	+7.2	−0.6	−8.5	−15.4	5
6	+3.4	+11.6	+17.8	+22.6	+24.6	+23.6	+20.0	+14.2	+6.9	−0.8	−8.8	−15.6	6
7	+3.7	+11.8	+18.0	+22.7	+24.6	+23.5	+19.9	+14.0	+6.7	−1.1	−9.0	−15.9	7
8	+4.0	+12.1	+18.2	+22.8	+24.6	+23.4	+19.7	+13.8	+6.4	−1.3	−9.3	−16.1	8
9	+4.3	+12.3	+18.4	+22.9	+24.6	+23.4	+19.5	+13.5	+6.2	−1.6	−9.5	−16.3	9
10	+4.5	+12.6	+18.6	+23.0	+24.6	+23.3	+19.4	+13.3	+5.9	−1.9	−9.8	−16.5	10
11	+4.8	+12.8	+18.7	+23.1	+24.6	+23.2	+19.2	+13.1	+5.6	−2.1	−10.0	−16.7	11
12	+5.1	+13.0	+18.9	+23.2	+24.6	+23.1	+19.0	+12.9	+5.4	−2.4	−10.2	−16.8	12
13	+5.4	+13.3	+19.1	+23.3	+24.6	+23.0	+18.9	+12.6	+5.1	−2.6	−10.5	−17.0	13
14	+5.6	+13.5	+19.3	+23.4	+24.6	+22.9	+18.7	+12.4	+4.9	−2.9	−10.7	−17.2	14
15	+5.9	+13.7	+19.4	+23.5	+24.6	+22.8	+18.5	+12.2	+4.6	−3.2	−11.0	−17.4	15
16	+6.2	+14.0	+19.6	+23.6	+24.6	+22.7	+18.4	+12.0	+4.4	−3.4	−11.2	−17.6	16
17	+6.4	+14.2	+19.8	+23.6	+24.6	+22.6	+18.2	+11.7	+4.1	−3.7	−11.4	−17.8	17
18	+6.7	+14.4	+20.0	+23.7	+24.6	+22.5	+18.0	+11.5	+3.9	−3.9	−11.7	−18.0	18
19	+7.0	+14.6	+20.1	+23.8	+24.5	+22.3	+17.8	+11.3	+3.6	−4.2	−11.9	−18.2	19
20	+7.2	+14.9	+20.3	+23.9	+24.5	+22.2	+17.6	+11.0	+3.3	−4.5	−12.1	−18.3	20
21	+7.5	+15.1	+20.4	+23.9	+24.5	+22.1	+17.4	+10.8	+3.1	−4.7	−12.4	−18.5	21
22	+7.8	+15.3	+20.6	+24.0	+24.4	+22.0	+17.2	+10.6	+2.8	−5.0	−12.6	−18.7	22
23	+8.0	+15.5	+20.7	+24.1	+24.4	+21.9	+17.1	+10.3	+2.6	−5.2	−12.8	−18.9	23
24	+8.3	+15.7	+20.9	+24.1	+24.4	+21.7	+16.9	+10.1	+2.3	−5.5	−13.0	−19.0	24
25	+8.5	+16.0	+21.0	+24.2	+24.3	+21.6	+16.7	+9.9	+2.0	−5.7	−13.3	−19.2	25
26	+8.8	+16.2	+21.2	+24.2	+24.3	+21.5	+16.5	+9.6	+1.8	−6.0	−13.5	−19.4	26
27	+9.1	+16.4	+21.3	+24.3	+24.2	+21.3	+16.3	+9.4	+1.5	−6.3	−13.7	−19.5	27
28	+9.3	+16.6	+21.5	+24.3	+24.2	+21.2	+16.1	+9.1	+1.3	−6.5	−13.9	−19.7	28
29	+9.6	+16.8	+21.6	+24.4	+24.1	+21.1	+15.9	+8.9	+1.0	−6.8	−14.2	−19.8	29
30	+9.8	+17.0	+21.7	+24.4	+24.1	+20.9	+15.7	+8.6	+0.7	−7.0	−14.4	−20.0	30
31	+10.1	+17.2	+21.9	+24.4	+24.0	+20.8	+15.5	+8.4	+0.5	−7.3	−14.6	−20.1	31
32	+10.3	+17.4	+22.0	+24.5	+24.0	+20.6	+15.3	+8.1	+0.2	−7.5	−14.8	−20.3	32

Declination of Jupiter in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+10.4	+11.4	+12.7	+13.8	+13.9	+13.2	+11.6	+9.5	+7.0	+4.5	+2.1	+0.2	0
1	+10.4	+11.4	+12.7	+13.8	+13.9	+13.1	+11.6	+9.4	+6.9	+4.4	+2.0	+0.1	1
2	+10.4	+11.5	+12.8	+13.8	+13.9	+13.1	+11.5	+9.4	+6.9	+4.4	+1.9	+0.1	2
3	+10.4	+11.5	+12.8	+13.8	+13.9	+13.0	+11.5	+9.3	+6.8	+4.3	+1.9	0.0	3
4	+10.5	+11.5	+12.9	+13.9	+13.9	+13.0	+11.4	+9.2	+6.7	+4.2	+1.8	0.0	4
5	+10.5	+11.6	+12.9	+13.9	+13.9	+12.9	+11.3	+9.1	+6.6	+4.1	+1.7	−0.1	5
6	+10.5	+11.6	+13.0	+13.9	+13.9	+12.9	+11.3	+9.0	+6.5	+4.0	+1.7	−0.1	6
7	+10.5	+11.7	+13.0	+13.9	+13.8	+12.9	+11.2	+9.0	+6.4	+4.0	+1.6	−0.2	7
8	+10.5	+11.7	+13.0	+13.9	+13.8	+12.8	+11.1	+8.9	+6.4	+3.9	+1.5	−0.2	8
9	+10.6	+11.8	+13.1	+13.9	+13.8	+12.8	+11.1	+8.8	+6.3	+3.8	+1.5	−0.3	9
10	+10.6	+11.8	+13.1	+13.9	+13.8	+12.7	+11.0	+8.7	+6.2	+3.7	+1.4	−0.3	10
11	+10.6	+11.9	+13.2	+14.0	+13.8	+12.7	+10.9	+8.7	+6.1	+3.6	+1.3	−0.3	11
12	+10.7	+11.9	+13.2	+14.0	+13.7	+12.6	+10.9	+8.6	+6.0	+3.5	+1.3	−0.4	12
13	+10.7	+12.0	+13.2	+14.0	+13.7	+12.6	+10.8	+8.5	+5.9	+3.5	+1.2	−0.4	13
14	+10.7	+12.0	+13.3	+14.0	+13.7	+12.5	+10.7	+8.4	+5.9	+3.4	+1.1	−0.5	14
15	+10.7	+12.1	+13.3	+14.0	+13.7	+12.5	+10.7	+8.3	+5.8	+3.3	+1.1	−0.5	15
16	+10.8	+12.1	+13.3	+14.0	+13.6	+12.4	+10.6	+8.3	+5.7	+3.2	+1.0	−0.5	16
17	+10.8	+12.2	+13.4	+14.0	+13.6	+12.4	+10.5	+8.2	+5.6	+3.2	+0.9	−0.6	17
18	+10.8	+12.2	+13.4	+14.0	+13.6	+12.3	+10.5	+8.1	+5.5	+3.1	+0.9	−0.6	18
19	+10.9	+12.3	+13.5	+14.0	+13.6	+12.3	+10.4	+8.0	+5.4	+3.0	+0.8	−0.7	19
20	+10.9	+12.3	+13.5	+14.0	+13.5	+12.2	+10.3	+7.9	+5.4	+2.9	+0.8	−0.7	20
21	+11.0	+12.4	+13.5	+14.0	+13.5	+12.2	+10.2	+7.9	+5.3	+2.8	+0.7	−0.7	21
22	+11.0	+12.4	+13.5	+14.0	+13.5	+12.1	+10.2	+7.8	+5.2	+2.8	+0.6	−0.8	22
23	+11.0	+12.5	+13.6	+14.0	+13.4	+12.0	+10.1	+7.7	+5.1	+2.7	+0.6	−0.8	23
24	+11.1	+12.5	+13.6	+14.0	+13.4	+12.0	+10.0	+7.6	+5.0	+2.6	+0.5	−0.8	24
25	+11.1	+12.5	+13.6	+14.0	+13.4	+11.9	+10.0	+7.5	+4.9	+2.5	+0.5	−0.8	25
26	+11.1	+12.6	+13.7	+14.0	+13.3	+11.9	+9.9	+7.4	+4.9	+2.5	+0.4	−0.9	26
27	+11.2	+12.6	+13.7	+14.0	+13.3	+11.8	+9.8	+7.4	+4.8	+2.4	+0.3	−0.9	27
28	+11.2	+12.7	+13.7	+14.0	+13.3	+11.8	+9.7	+7.3	+4.7	+2.3	+0.3	−0.9	28
29	+11.3	+12.7	+13.7	+14.0	+13.2	+11.7	+9.7	+7.2	+4.6	+2.2	+0.2	−0.9	29
30	+11.3	+12.8	+13.8	+13.9	+13.2	+11.6	+9.6	+7.1	+4.5	+2.2	+0.2	−1.0	30
31	+11.4	+12.8	+13.8	+13.9	+13.2	+11.6	+9.5	+7.0	+4.4	+2.1	+0.1	−1.0	31
32	+11.4	+12.9	+13.8	+13.9	+13.1	+11.5	+9.4	+6.9	+4.4	+2.0	+0.1	−1.0	32

Declination of Saturn in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−19.0	−18.0	−17.1	−16.2	−15.7	−15.5	−15.8	−16.5	−17.2	−17.6	−17.7	−17.2	0
10	−18.7	−17.7	−16.8	−16.0	−15.6	−15.5	−16.0	−16.7	−17.4	−17.7	−17.6	−17.0	10
20	−18.4	−17.4	−16.5	−15.8	−15.5	−15.7	−16.2	−16.9	−17.5	−17.7	−17.4	−16.7	20
30	−18.1	−17.1	−16.3	−15.7	−15.5	−15.8	−16.4	−17.2	−17.6	−17.7	−17.2	−16.4	30
40	−17.7	−16.8	−16.0	−15.6	−15.5	−16.0	−16.7	−17.4	−17.7	−17.6	−17.0	−16.1	40

Declination of Uranus in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+2.5	+2.7	+3.1	+3.6	+4.0	+4.1	+3.9	+3.4	+2.7	+2.0	+1.3	+0.8	0
10	+2.5	+2.8	+3.2	+3.8	+4.1	+4.1	+3.8	+3.2	+2.5	+1.8	+1.1	+0.7	10
20	+2.6	+2.9	+3.4	+3.9	+4.1	+4.0	+3.6	+3.0	+2.2	+1.5	+0.9	+0.6	20
30	+2.7	+3.1	+3.6	+4.0	+4.1	+3.9	+3.5	+2.8	+2.0	+1.3	+0.8	+0.6	30
40	+2.8	+3.3	+3.7	+4.1	+4.1	+3.8	+3.2	+2.5	+1.8	+1.1	+0.7	+0.6	40

Declination of Neptune in 2051

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+17.5	+17.5	+17.5	+17.7	+18.0	+18.2	+18.4	+18.6	+18.6	+18.5	+18.4	+18.2	0
10	+17.5	+17.5	+17.6	+17.8	+18.0	+18.3	+18.5	+18.6	+18.6	+18.5	+18.3	+18.2	10
20	+17.5	+17.5	+17.6	+17.9	+18.1	+18.4	+18.5	+18.6	+18.6	+18.5	+18.3	+18.1	20
30	+17.5	+17.5	+17.7	+18.0	+18.2	+18.4	+18.6	+18.6	+18.5	+18.4	+18.2	+18.1	30
40	+17.5	+17.6	+17.8	+18.0	+18.3	+18.5	+18.6	+18.6	+18.5	+18.3	+18.2	+18.0	40

Meridian passages of the planets in 2051

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

Rings of Saturn in 2051

Distances from Earth to Mercury, Venus and Mars 2051

Nutation in obliquity 2051

Heliocentric positions of the planets in their orbits 2051

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

Heliocentric positions of the planets in their orbits 2051 January

Heliocentric positions of the planets in their orbits 2051 February

Heliocentric positions of the planets in their orbits 2051 March

Heliocentric positions of the planets in their orbits 2051 April

Heliocentric positions of the planets in their orbits 2051 May

Heliocentric positions of the planets in their orbits 2051 June

Heliocentric positions of the planets in their orbits 2051 July

Heliocentric positions of the planets in their orbits 2051 August

Heliocentric positions of the planets in their orbits 2051 September

Heliocentric positions of the planets in their orbits 2051 October

Heliocentric positions of the planets in their orbits 2051 November

Heliocentric positions of the planets in their orbits 2051 December

Heliocentric positions of the planets in their orbits 2051

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 center 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 center 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 center 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 center 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 +95 seconds.

January
Week	M	T	W	T	F	S	S
52							1
1	2	3	4	5	6	7	8
2	9	10	11	12	13	14	15
3	16	17	18	19	20	21	22
4	23	24	25	26	27	28	29
5	30	31