Almanac 2048

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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 2048

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

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

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

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

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

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

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

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

August
31						1	2
32	3	4	5	6	7	8	9
33	10	11	12	13	14	15	16
34	17	18	19	20	21	22	23
35	24	25	26	27	28	29	30
36	31

September
36		1	2	3	4	5	6
37	7	8	9	10	11	12	13
38	14	15	16	17	18	19	20
39	21	22	23	24	25	26	27
40	28	29	30

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

November
44							1
45	2	3	4	5	6	7	8
46	9	10	11	12	13	14	15
47	16	17	18	19	20	21	22
48	23	24	25	26	27	28	29
49	30

December
49		1	2	3	4	5	6
50	7	8	9	10	11	12	13
51	14	15	16	17	18	19	20
52	21	22	23	24	25	26	27
53	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 2048

		d	h			d	h	m		d	h	m
Perigee:	Jan.	3	18	Equinoxes:	Mar.	19	22	33	Sep.	22	08	00
Apogee:	Jul.	6	05	Solstices:	Jun.	20	15	53	Dec.	21	05	02

Phases of the Moon 2048

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
								Jan.	1	07	00	Jan.	8	18	49
Jan.	15	11	35	Jan.	22	21	56	Jan.	31	00	17	Feb.	7	03	17
Feb.	14	00	35	Feb.	21	19	22	Feb.	29	14	41	Mar.	7	10	45
Mar.	14	14	31	Mar.	22	16	03	Mar.	30	02	07	Apr.	5	18	10
Apr.	13	05	23	Apr.	21	10	02	Apr.	28	11	16	May	5	02	22
May	12	21	01	May	21	00	16	May	27	19	00	Jun.	3	12	04
Jun.	11	12	53	Jun.	19	10	49	Jun.	26	02	11	Jul.	2	23	58
Jul.	11	04	07	Jul.	18	18	32	Jul.	25	09	37	Aug.	1	14	30
Aug.	9	18	02	Aug.	17	00	32	Aug.	23	18	10	Aug.	31	07	42
Sep.	8	06	28	Sep.	15	06	04	Sep.	22	04	50	Sep.	30	02	46
Oct.	7	17	48	Oct.	14	12	20	Oct.	21	18	28	Oct.	29	22	15
Nov.	6	04	42	Nov.	12	20	29	Nov.	20	11	23	Nov.	28	16	34
Dec.	5	15	33	Dec.	12	07	29	Dec.	20	06	42	Dec.	28	08	31

Apsides of the Moon 2048

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
Jan.	13	04	363 707	57.024	Jan.	24	21	404 716	63.454
Feb.	9	09	369 128	57.874	Feb.	21	18	404 266	63.383
Mar.	5	02	368 849	57.830	Mar.	20	15	404 636	63.441
Apr.	1	10	363 561	57.001	Apr.	17	07	405 533	63.582
Apr.	29	14	359 128	56.306	May	14	17	406 297	63.702
May	28	00	357 115	55.990	Jun.	10	20	406 479	63.730
Jun.	25	10	357 912	56.115	Jul.	8	03	405 967	63.650
Jul.	23	16	361 239	56.637	Aug.	4	17	405 003	63.499
Aug.	20	13	366 145	57.406	Sep.	1	11	404 234	63.378
Sep.	15	15	369 915	57.997	Sep.	29	06	404 229	63.377
Oct.	11	05	366 936	57.530	Oct.	27	02	404 995	63.497
Nov.	7	23	361 589	56.692	Nov.	23	18	405 927	63.643
Dec.	6	08	357 716	56.085	Dec.	21	00	406 366	63.712

Passages of the Moon through the nodes 2048

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	14	05	27	Jul.	22	23	38	Jan.	28	06	52	Aug.	5	13	07
Feb.	10	12	30	Aug.	19	04	54	Feb.	24	12	12	Sep.	1	16	14
Mar.	8	14	31	Sep.	15	06	06	Mar.	22	14	48	Sep.	28	18	15
Apr.	4	14	57	Oct.	12	07	07	Apr.	18	16	39	Oct.	25	21	25
May	1	18	46	Nov.	8	12	22	May	15	20	06	Nov.	22	02	54
May	29	03	20	Dec.	5	22	27	Jun.	12	01	40	Dec.	19	09	29
Jun.	25	14	10					Jul.	9	07	57

Maximum declinations of the Moon 2048

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	26	19	32	+24.5	Jan.	13	00	06	−24.6
Feb.	23	04	06	+24.4	Feb.	9	07	42	−24.5
Mar.	21	12	09	+24.1	Mar.	7	13	15	−24.2
Apr.	17	19	00	+23.9	Apr.	3	18	56	−24.0
May	15	00	49	+23.8	May	1	02	39	−23.8
Jun.	11	06	28	+23.7	May	28	12	35	−23.7
Jul.	8	12	46	+23.7	Jun.	24	23	22	−23.8
Aug.	4	20	01	+23.7	Jul.	22	09	07	−23.7
Sep.	1	03	54	+23.4	Aug.	18	16	40	−23.6
Sep.	28	11	46	+23.2	Sep.	14	22	20	−23.3
Oct.	25	19	04	+23.0	Oct.	12	03	48	−23.1
Nov.	22	01	41	+22.9	Nov.	8	11	15	−22.9
Dec.	19	07	59	+22.9	Dec.	5	21	34	−22.9

Distance from the Earth to the Moon in 2048

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

Mercury 2048

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

Venus 2048

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

Mars 2048

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

Jupiter 2048

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

Saturn 2048

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

Uranus 2048

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

Neptune 2048

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

Planetary phenomena 2048

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2048

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation	Jan.	13	05	19°	−0.6	May	4	09	21°	+0.4	Sep.	1	16	27°	+0.3	Dec.	26	11	20°	−0.5
Stationary	Jan.	20	02			May	16	02			Sep.	15	01
Inferior conjunction	Jan.	29	00			May	27	14			Sep.	28	00
Stationary	Feb.	9	23			Jun.	8	22			Oct.	7	01
Greatest western elongation	Feb.	22	22	27°	+0.1	Jun.	21	20	23°	+0.5	Oct.	13	12	18°	−0.5
Superior conjunction	Apr.	7	14			Jul.	21	07			Nov.	14	12

Venus 2048

		d	h		Mag
Superior conjunction	May	28	20

Superior planets 2048

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars				Apr.	30	12	Jun.	3	12	−2.2	Jul.	10	21
Jupiter	May	29	03	Oct.	18	18	Dec.	17	09	−2.8	Jan.	10	06
Saturn				Apr.	24	06	Jul.	3	23	0.0	Sep.	12	17
Uranus	Sep.	3	12	Dec.	20	17	Feb.	28	04	+5.3	May	13	22
Neptune	May	11	07	Aug.	26	14	Nov.	14	03	+7.8	Jan.	29	01

Planets in perihelion and in aphelion 2048

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury	Jan.	20	0.30749	46.000	Mar.	4	0.46670	69.818
	Apr.	17	0.30749	46.001	May	31	0.46670	69.818
	Jul.	14	0.30749	46.000	Aug.	27	0.46671	69.818
	Oct.	10	0.30749	46.000	Nov.	23	0.46671	69.819

Venus					Mar.	17	0.72820	108.938
	Jul.	7	0.71846	107.481	Oct.	27	0.72820	108.937

Earth	Jan.	3	0.98328	147.097	Jul.	6	1.01671	152.097

Mars	Oct.	20	1.38143	206.659

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 2048

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

Magnitudes, phases and diameters of the planets in 2048

At 0:00 Universal Time

		Mercury			Venus			Mars		Jupiter		Saturn
		Mag	Phase	Diam	Mag	Phase	Diam	Mag	Diam	Mag	Diam	Mag	Diam
Jan.	0	−0.8	0.90	5	−4.0	0.80	14	+1.3	5	−2.7	45	+0.5	15	Jan.	0
	5	−0.8	0.82	6	−4.0	0.81	13	+1.3	5	−2.6	45	+0.5	15		5
	10	−0.7	0.69	6	−4.0	0.82	13	+1.2	6	−2.6	44	+0.5	15		10
	15	−0.4	0.50	7	−4.0	0.84	13	+1.2	6	−2.6	43	+0.5	15		15
	20	+0.5	0.26	8	−4.0	0.85	13	+1.1	6	−2.5	42	+0.5	15		20
	25	+2.7	0.06	10	−4.0	0.86	12	+1.0	6	−2.5	42	+0.5	15		25
	30	+4.4	0.01	10	−3.9	0.87	12	+1.0	6	−2.4	41	+0.6	15		30
Feb.	4	+2.1	0.11	10	−3.9	0.88	12	+0.9	7	−2.4	40	+0.6	15	Feb.	4
	9	+0.9	0.26	9	−3.9	0.89	12	+0.8	7	−2.4	40	+0.6	15		9
	14	+0.3	0.41	8	−3.9	0.90	11	+0.7	7	−2.3	39	+0.6	16		14
	19	+0.1	0.52	7	−3.9	0.91	11	+0.6	7	−2.3	38	+0.6	16		19
	24	+0.1	0.61	7	−3.9	0.92	11	+0.5	8	−2.3	38	+0.6	16		24
	29	0.0	0.68	6	−3.9	0.92	11	+0.4	8	−2.2	37	+0.6	16		29
Mar.	5	0.0	0.74	6	−3.9	0.93	11	+0.3	8	−2.2	37	+0.6	16	Mar.	5
	10	−0.1	0.79	6	−3.9	0.94	11	+0.2	9	−2.2	36	+0.6	16		10
	15	−0.3	0.83	5	−3.9	0.95	11	+0.1	9	−2.1	36	+0.6	16		15
	20	−0.5	0.88	5	−3.8	0.95	10	0.0	10	−2.1	35	+0.6	16		20
	25	−0.7	0.92	5	−3.8	0.96	10	−0.1	10	−2.1	35	+0.6	16		25
	30	−1.1	0.96	5	−3.8	0.96	10	−0.3	11	−2.1	35	+0.6	17		30
Apr.	4	−1.6	0.99	5	−3.8	0.97	10	−0.4	11	−2.1	34	+0.5	17	Apr.	4
	9	−2.0	1.00	5	−3.8	0.97	10	−0.6	12	−2.0	34	+0.5	17		9
	14	−1.6	0.96	5	−3.8	0.98	10	−0.7	13	−2.0	34	+0.5	17		14
	19	−1.2	0.86	6	−3.8	0.98	10	−0.9	13	−2.0	33	+0.5	17		19
	24	−0.8	0.70	6	−3.8	0.99	10	−1.0	14	−2.0	33	+0.5	17		24
	29	−0.3	0.54	7	−3.9	0.99	10	−1.2	15	−2.0	33	+0.4	17		29
May	4	+0.3	0.38	8	−3.9	0.99	10	−1.3	16	−2.0	33	+0.4	18	May	4
	9	+1.0	0.25	9	−3.9	1.00	10	−1.5	16	−2.0	33	+0.4	18		9
	14	+1.9	0.14	10	−3.9	1.00	10	−1.7	17	−2.0	33	+0.3	18		14
	19	+3.2	0.06	11	−3.9	1.00	10	−1.8	18	−2.0	33	+0.3	18		19
	24	+4.8	0.01	12	…	1.00	10	−2.0	19	−2.0	33	+0.3	18		24
	29	…	0.00	12	…	1.00	10	−2.1	19	−2.0	33	+0.2	18		29
Jun.	3	+3.8	0.04	12	…	1.00	10	−2.2	19	−2.0	33	+0.2	18	Jun.	3
	8	+2.5	0.10	11	−3.9	1.00	10	−2.2	20	−2.0	33	+0.2	18		8
	13	+1.6	0.19	10	−3.9	1.00	10	−2.2	20	−2.0	33	+0.1	18		13
	18	+1.0	0.28	9	−3.9	1.00	10	−2.1	20	−2.0	33	+0.1	18		18
	23	+0.4	0.39	8	−3.9	0.99	10	−2.0	19	−2.0	33	+0.1	18		23
	28	−0.1	0.51	7	−3.9	0.99	10	−1.9	19	−2.0	33	+0.1	18		28
Jul.	3	−0.5	0.65	6	−3.9	0.99	10	−1.8	19	−2.0	33	0.0	18	Jul.	3
	8	−1.0	0.79	6	−3.9	0.98	10	−1.7	18	−2.0	33	0.0	18		8
	13	−1.4	0.92	5	−3.9	0.98	10	−1.6	17	−2.0	33	+0.1	18		13
	18	−1.9	0.99	5	−3.9	0.97	10	−1.5	17	−2.0	34	+0.1	18		18
	23	−1.9	0.99	5	−3.9	0.96	10	−1.4	16	−2.0	34	+0.1	18		23
	28	−1.3	0.96	5	−3.9	0.96	10	−1.2	16	−2.0	34	+0.1	18		28
Aug.	2	−0.8	0.91	5	−3.9	0.95	10	−1.1	15	−2.1	35	+0.2	18	Aug.	2
	7	−0.5	0.85	5	−3.9	0.94	11	−1.0	14	−2.1	35	+0.2	18		7
	12	−0.3	0.80	6	−3.9	0.94	11	−0.9	14	−2.1	35	+0.2	18		12
	17	−0.1	0.74	6	−3.9	0.93	11	−0.9	13	−2.1	36	+0.3	18		17
	22	0.0	0.69	6	−3.9	0.92	11	−0.8	13	−2.1	36	+0.3	18		22
	27	+0.1	0.63	7	−3.9	0.91	11	−0.7	12	−2.2	37	+0.3	18		27
Sep.	1	+0.2	0.55	7	−3.9	0.90	11	−0.6	12	−2.2	37	+0.4	18	Sep.	1
	6	+0.4	0.47	8	−3.9	0.89	12	−0.5	11	−2.2	38	+0.4	17		6
	11	+0.6	0.37	8	−3.9	0.88	12	−0.4	11	−2.3	38	+0.4	17		11
	16	+1.1	0.24	9	−3.9	0.87	12	−0.4	11	−2.3	39	+0.4	17		16
	21	+2.2	0.11	10	−3.9	0.86	12	−0.3	10	−2.3	39	+0.5	17		21
	26	+4.3	0.02	10	−3.9	0.84	12	−0.2	10	−2.4	40	+0.5	17		26
Oct.	1	+3.7	0.03	10	−3.9	0.83	13	−0.2	10	−2.4	41	+0.5	17	Oct.	1
	6	+1.2	0.18	9	−4.0	0.82	13	−0.1	9	−2.4	41	+0.5	17		6
	11	−0.1	0.41	7	−4.0	0.81	13	0.0	9	−2.5	42	+0.5	16		11
	16	−0.7	0.64	6	−4.0	0.79	14	0.0	9	−2.5	43	+0.5	16		16
	21	−0.9	0.80	6	−4.0	0.78	14	+0.1	9	−2.5	43	+0.6	16		21
	26	−1.0	0.90	5	−4.0	0.77	14	+0.1	8	−2.6	44	+0.6	16		26
	31	−1.0	0.96	5	−4.1	0.75	15	+0.2	8	−2.6	45	+0.6	16		31
Nov.	5	−1.1	0.99	5	−4.1	0.74	15	+0.2	8	−2.6	45	+0.6	16	Nov.	5
	10	−1.2	1.00	5	−4.1	0.72	16	+0.3	8	−2.7	46	+0.6	16		10
	15	…	1.00	5	−4.1	0.71	16	+0.4	8	−2.7	46	+0.6	16		15
	20	−1.0	1.00	5	−4.2	0.69	17	+0.4	7	−2.7	47	+0.6	16		20
	25	−0.8	0.99	5	−4.2	0.67	17	+0.5	7	−2.7	47	+0.6	15		25
	30	−0.7	0.97	5	−4.2	0.65	18	+0.5	7	−2.7	47	+0.6	15		30
Dec.	5	−0.6	0.95	5	−4.3	0.64	19	+0.6	7	−2.8	48	+0.6	15	Dec.	5
	10	−0.6	0.92	5	−4.3	0.62	20	+0.6	7	−2.8	48	+0.6	15		10
	15	−0.6	0.86	5	−4.4	0.60	21	+0.7	7	−2.8	48	+0.5	15		15
	20	−0.6	0.78	6	−4.4	0.57	21	+0.7	6	−2.8	48	+0.5	15		20
	25	−0.6	0.65	7	−4.5	0.55	23	+0.7	6	−2.8	48	+0.5	15		25
	30	−0.3	0.46	7	−4.5	0.53	24	+0.8	6	−2.8	47	+0.5	15		30
	35	+0.7	0.23	9	−4.6	0.50	25	+0.8	6	−2.7	47	+0.5	15		35

Declinations of the Sun, Moon and planets in 2048

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

Declinations of the Sun and planets in 2048

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

Declination of the Sun in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.5	−7.8	+4.3	+14.9	+22.0	+23.1	+18.1	+8.5	−3.0	−14.2	−21.7	0
1	−23.0	−17.2	−7.4	+4.7	+15.2	+22.1	+23.1	+17.9	+8.1	−3.4	−14.6	−21.9	1
2	−23.0	−17.0	−7.0	+5.1	+15.5	+22.2	+23.0	+17.6	+7.7	−3.8	−14.9	−22.0	2
3	−22.9	−16.7	−6.6	+5.5	+15.8	+22.4	+22.9	+17.4	+7.4	−4.1	−15.2	−22.2	3
4	−22.8	−16.4	−6.3	+5.9	+16.1	+22.5	+22.8	+17.1	+7.0	−4.5	−15.5	−22.3	4
5	−22.7	−16.1	−5.9	+6.2	+16.4	+22.6	+22.7	+16.8	+6.6	−4.9	−15.8	−22.4	5
6	−22.6	−15.8	−5.5	+6.6	+16.7	+22.7	+22.6	+16.6	+6.3	−5.3	−16.1	−22.5	6
7	−22.4	−15.5	−5.1	+7.0	+16.9	+22.8	+22.5	+16.3	+5.9	−5.7	−16.4	−22.6	7
8	−22.3	−15.2	−4.7	+7.4	+17.2	+22.9	+22.4	+16.0	+5.5	−6.1	−16.7	−22.8	8
9	−22.2	−14.8	−4.3	+7.7	+17.5	+23.0	+22.3	+15.7	+5.1	−6.4	−17.0	−22.9	9
10	−22.0	−14.5	−3.9	+8.1	+17.7	+23.0	+22.2	+15.4	+4.8	−6.8	−17.3	−22.9	10
11	−21.9	−14.2	−3.5	+8.5	+18.0	+23.1	+22.0	+15.1	+4.4	−7.2	−17.5	−23.0	11
12	−21.7	−13.9	−3.1	+8.9	+18.3	+23.2	+21.9	+14.8	+4.0	−7.6	−17.8	−23.1	12
13	−21.6	−13.5	−2.7	+9.2	+18.5	+23.2	+21.7	+14.5	+3.6	−7.9	−18.1	−23.2	13
14	−21.4	−13.2	−2.3	+9.6	+18.7	+23.3	+21.6	+14.2	+3.2	−8.3	−18.3	−23.2	14
15	−21.2	−12.9	−2.0	+9.9	+19.0	+23.3	+21.4	+13.9	+2.8	−8.7	−18.6	−23.3	15
16	−21.0	−12.5	−1.6	+10.3	+19.2	+23.4	+21.3	+13.6	+2.5	−9.1	−18.8	−23.3	16
17	−20.8	−12.2	−1.2	+10.6	+19.4	+23.4	+21.1	+13.3	+2.1	−9.4	−19.1	−23.4	17
18	−20.6	−11.8	−0.8	+11.0	+19.7	+23.4	+20.9	+12.9	+1.7	−9.8	−19.3	−23.4	18
19	−20.4	−11.5	−0.4	+11.3	+19.9	+23.4	+20.7	+12.6	+1.3	−10.1	−19.6	−23.4	19
20	−20.2	−11.1	0.0	+11.7	+20.1	+23.4	+20.6	+12.3	+0.9	−10.5	−19.8	−23.4	20
21	−20.0	−10.8	+0.4	+12.0	+20.3	+23.4	+20.4	+11.9	+0.5	−10.9	−20.0	−23.4	21
22	−19.8	−10.4	+0.8	+12.4	+20.5	+23.4	+20.2	+11.6	+0.1	−11.2	−20.2	−23.4	22
23	−19.6	−10.0	+1.2	+12.7	+20.7	+23.4	+20.0	+11.3	−0.3	−11.6	−20.4	−23.4	23
24	−19.3	−9.7	+1.6	+13.0	+20.9	+23.4	+19.8	+10.9	−0.6	−11.9	−20.6	−23.4	24
25	−19.1	−9.3	+2.0	+13.3	+21.0	+23.4	+19.5	+10.6	−1.0	−12.3	−20.8	−23.4	25
26	−18.8	−8.9	+2.4	+13.7	+21.2	+23.3	+19.3	+10.2	−1.4	−12.6	−21.0	−23.3	26
27	−18.6	−8.5	+2.8	+14.0	+21.4	+23.3	+19.1	+9.9	−1.8	−12.9	−21.2	−23.3	27
28	−18.3	−8.2	+3.2	+14.3	+21.5	+23.2	+18.9	+9.5	−2.2	−13.3	−21.4	−23.3	28
29	−18.1	−7.8	+3.6	+14.6	+21.7	+23.2	+18.6	+9.2	−2.6	−13.6	−21.5	−23.2	29
30	−17.8	−7.4	+3.9	+14.9	+21.8	+23.1	+18.4	+8.8	−3.0	−13.9	−21.7	−23.1	30
31	−17.5	−7.0	+4.3	+15.2	+22.0	+23.1	+18.1	+8.5	−3.4	−14.2	−21.9	−23.1	31
32	−17.2	−6.6	+4.7	+15.5	+22.1	+23.0	+17.9	+8.1	−3.8	−14.6	−22.0	−23.0	32

Declination of the Moon in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+24.4	+14.7	+6.6	−13.4	−22.8	−18.7	−6.2	+12.3	+22.8	+22.0	+10.4	−2.4	0
1	+23.2	+10.0	+1.1	−18.0	−23.8	−14.4	−0.8	+16.3	+23.5	+20.0	+5.8	−7.4	1
2	+20.9	+4.7	−4.6	−21.5	−23.1	−9.6	+4.5	+19.6	+23.1	+17.0	+0.8	−12.3	2
3	+17.6	−0.8	−10.2	−23.5	−20.9	−4.4	+9.4	+22.0	+21.7	+13.3	−4.3	−16.6	3
4	+13.4	−6.4	−15.2	−24.0	−17.4	+0.9	+13.8	+23.3	+19.3	+8.9	−9.5	−20.1	4
5	+8.6	−11.7	−19.4	−22.8	−13.1	+5.9	+17.5	+23.7	+16.0	+4.0	−14.2	−22.3	5
6	+3.3	−16.5	−22.4	−20.3	−8.2	+10.6	+20.5	+22.9	+11.9	−1.1	−18.3	−22.9	6
7	−2.2	−20.4	−24.0	−16.7	−3.1	+14.8	+22.6	+21.2	+7.3	−6.4	−21.3	−21.9	7
8	−7.8	−23.1	−24.1	−12.2	+2.0	+18.4	+23.6	+18.4	+2.2	−11.5	−22.8	−19.3	8
9	−13.0	−24.4	−22.6	−7.3	+7.0	+21.1	+23.6	+14.8	−3.0	−16.0	−22.7	−15.4	9
10	−17.7	−24.1	−19.8	−2.1	+11.6	+22.9	+22.6	+10.6	−8.3	−19.7	−21.1	−10.7	10
11	−21.4	−22.2	−15.9	+3.1	+15.7	+23.7	+20.5	+5.7	−13.1	−22.1	−18.1	−5.6	11
12	−23.8	−19.0	−11.2	+8.1	+19.1	+23.5	+17.5	+0.6	−17.4	−23.1	−14.0	−0.3	12
13	−24.6	−14.7	−6.1	+12.6	+21.6	+22.1	+13.7	−4.6	−20.7	−22.5	−9.3	+4.8	13
14	−23.7	−9.6	−0.8	+16.6	+23.2	+19.8	+9.3	−9.7	−22.7	−20.5	−4.3	+9.6	14
15	−21.2	−4.3	+4.5	+19.9	+23.8	+16.6	+4.4	−14.4	−23.3	−17.3	+0.9	+13.8	15
16	−17.4	+1.2	+9.5	+22.2	+23.3	+12.7	−0.7	−18.4	−22.5	−13.2	+5.9	+17.4	16
17	−12.7	+6.4	+14.0	+23.6	+21.7	+8.2	−5.9	−21.5	−20.2	−8.4	+10.6	+20.2	17
18	−7.4	+11.3	+17.8	+23.9	+19.2	+3.2	−11.0	−23.2	−16.7	−3.2	+14.7	+22.0	18
19	−2.0	+15.6	+20.8	+23.1	+15.8	−2.0	−15.6	−23.5	−12.2	+2.0	+18.1	+22.9	19
20	+3.4	+19.2	+22.9	+21.2	+11.6	−7.3	−19.4	−22.2	−7.2	+7.0	+20.7	+22.7	20
21	+8.5	+21.9	+24.0	+18.4	+6.9	−12.4	−22.2	−19.5	−1.9	+11.7	+22.4	+21.5	21
22	+13.1	+23.7	+24.0	+14.8	+1.8	−16.9	−23.6	−15.5	+3.5	+15.7	+22.9	+19.3	22
23	+17.1	+24.4	+22.9	+10.4	−3.6	−20.6	−23.4	−10.7	+8.5	+19.0	+22.5	+16.4	23
24	+20.4	+24.0	+20.7	+5.3	−9.0	−23.0	−21.5	−5.4	+13.1	+21.3	+21.0	+12.7	24
25	+22.8	+22.4	+17.5	−0.1	−14.1	−23.8	−18.1	+0.1	+17.0	+22.7	+18.6	+8.5	25
26	+24.2	+19.8	+13.5	−5.7	−18.5	−22.8	−13.7	+5.5	+20.0	+23.0	+15.5	+4.0	26
27	+24.5	+16.2	+8.7	−11.2	−21.8	−20.2	−8.5	+10.4	+22.1	+22.2	+11.7	−0.9	27
28	+23.7	+11.8	+3.3	−16.1	−23.5	−16.3	−3.0	+14.8	+23.1	+20.5	+7.3	−5.7	28
29	+21.8	+6.6	−2.4	−20.1	−23.6	−11.5	+2.4	+18.4	+23.1	+17.9	+2.6	−10.5	29
30	+18.7	+1.1	−8.1	−22.8	−21.8	−6.2	+7.6	+21.1	+22.0	+14.5	−2.4	−14.9	30
31	+14.7	−4.6	−13.4	−23.8	−18.7	−0.8	+12.3	+22.8	+20.0	+10.4	−7.4	−18.7	31
32	+10.0	−10.2	−18.0	−23.1	−14.4	+4.5	+16.3	+23.5	+17.0	+5.8	−12.3	−21.4	32

Declination of Mercury in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.6	−15.2	−17.4	−0.4	+22.7	+18.5	+20.9	+16.8	−4.1	−3.1	−9.8	−24.5	0
1	−23.2	−15.5	−17.2	+0.5	+23.0	+18.1	+21.2	+16.1	−4.6	−2.4	−10.5	−24.7	1
2	−22.9	−15.8	−16.9	+1.4	+23.3	+17.8	+21.5	+15.5	−5.1	−1.8	−11.2	−24.9	2
3	−22.5	−16.0	−16.6	+2.2	+23.5	+17.6	+21.8	+14.8	−5.6	−1.2	−11.8	−25.1	3
4	−22.2	−16.3	−16.3	+3.1	+23.7	+17.3	+22.1	+14.1	−6.1	−0.6	−12.5	−25.2	4
5	−21.8	−16.6	−16.0	+4.0	+23.9	+17.1	+22.4	+13.4	−6.6	−0.1	−13.1	−25.3	5
6	−21.3	−16.8	−15.6	+4.9	+24.0	+17.0	+22.6	+12.7	−7.0	+0.2	−13.7	−25.5	6
7	−20.9	−17.1	−15.3	+5.9	+24.1	+16.8	+22.9	+12.0	−7.4	+0.5	−14.4	−25.5	7
8	−20.4	−17.3	−14.9	+6.8	+24.2	+16.7	+23.0	+11.3	−7.8	+0.8	−15.0	−25.6	8
9	−20.0	−17.5	−14.5	+7.7	+24.2	+16.6	+23.2	+10.6	−8.1	+0.9	−15.6	−25.6	9
10	−19.5	−17.7	−14.0	+8.6	+24.2	+16.6	+23.3	+9.9	−8.4	+0.9	−16.2	−25.6	10
11	−19.0	−17.9	−13.6	+9.6	+24.1	+16.6	+23.4	+9.2	−8.7	+0.9	−16.7	−25.6	11
12	−18.5	−18.1	−13.1	+10.5	+24.0	+16.6	+23.5	+8.4	−8.9	+0.7	−17.3	−25.6	12
13	−18.0	−18.2	−12.6	+11.4	+23.9	+16.7	+23.5	+7.7	−9.1	+0.5	−17.8	−25.5	13
14	−17.5	−18.3	−12.1	+12.3	+23.8	+16.8	+23.5	+7.0	−9.2	+0.2	−18.4	−25.4	14
15	−17.1	−18.4	−11.6	+13.2	+23.6	+16.9	+23.4	+6.3	−9.3	−0.1	−18.9	−25.3	15
16	−16.6	−18.5	−11.0	+14.0	+23.4	+17.0	+23.2	+5.6	−9.3	−0.5	−19.4	−25.2	16
17	−16.2	−18.5	−10.4	+14.9	+23.2	+17.2	+23.1	+4.9	−9.3	−1.0	−19.8	−25.0	17
18	−15.8	−18.6	−9.8	+15.7	+22.9	+17.4	+22.9	+4.2	−9.2	−1.5	−20.3	−24.9	18
19	−15.4	−18.6	−9.2	+16.5	+22.6	+17.6	+22.6	+3.5	−9.0	−2.0	−20.8	−24.7	19
20	−15.1	−18.6	−8.6	+17.3	+22.3	+17.9	+22.3	+2.8	−8.8	−2.6	−21.2	−24.4	20
21	−14.8	−18.5	−7.9	+18.0	+22.0	+18.1	+22.0	+2.1	−8.5	−3.2	−21.6	−24.2	21
22	−14.6	−18.5	−7.2	+18.7	+21.7	+18.4	+21.6	+1.5	−8.1	−3.8	−22.0	−23.9	22
23	−14.5	−18.4	−6.6	+19.3	+21.3	+18.7	+21.2	+0.8	−7.6	−4.4	−22.4	−23.6	23
24	−14.4	−18.3	−5.8	+19.9	+21.0	+19.0	+20.7	+0.2	−7.1	−5.1	−22.7	−23.3	24
25	−14.3	−18.1	−5.1	+20.5	+20.6	+19.3	+20.2	−0.5	−6.6	−5.7	−23.1	−23.0	25
26	−14.4	−18.0	−4.4	+21.0	+20.2	+19.6	+19.7	−1.1	−5.9	−6.4	−23.4	−22.6	26
27	−14.5	−17.8	−3.6	+21.5	+19.9	+19.9	+19.2	−1.7	−5.3	−7.1	−23.7	−22.3	27
28	−14.6	−17.6	−2.8	+21.9	+19.5	+20.3	+18.6	−2.3	−4.6	−7.8	−24.0	−21.9	28
29	−14.8	−17.4	−2.0	+22.3	+19.1	+20.6	+18.0	−2.9	−3.8	−8.5	−24.2	−21.6	29
30	−15.0	−17.2	−1.2	+22.7	+18.8	+20.9	+17.4	−3.5	−3.1	−9.1	−24.5	−21.2	30
31	−15.2	−16.9	−0.4	+23.0	+18.5	+21.2	+16.8	−4.1	−2.4	−9.8	−24.7	−20.9	31
32	−15.5	−16.6	+0.5	+23.3	+18.1	+21.5	+16.1	−4.6	−1.8	−10.5	−24.9	−20.5	32

Declination of Venus in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−19.0	−22.4	−16.4	−3.1	+11.3	+21.9	+23.2	+14.4	−0.6	−15.2	−24.7	−24.0	0
1	−19.2	−22.4	−16.1	−2.6	+11.7	+22.1	+23.1	+13.9	−1.1	−15.6	−24.9	−23.8	1
2	−19.5	−22.3	−15.7	−2.1	+12.2	+22.3	+22.9	+13.5	−1.6	−16.1	−25.0	−23.6	2
3	−19.7	−22.2	−15.3	−1.6	+12.6	+22.5	+22.8	+13.1	−2.1	−16.5	−25.1	−23.3	3
4	−19.9	−22.1	−15.0	−1.1	+13.0	+22.7	+22.6	+12.6	−2.6	−16.9	−25.3	−23.1	4
5	−20.2	−22.0	−14.6	−0.7	+13.4	+22.9	+22.4	+12.2	−3.1	−17.3	−25.4	−22.9	5
6	−20.4	−21.9	−14.2	−0.2	+13.9	+23.0	+22.2	+11.8	−3.7	−17.7	−25.4	−22.6	6
7	−20.6	−21.8	−13.8	+0.3	+14.3	+23.2	+22.0	+11.3	−4.2	−18.1	−25.5	−22.4	7
8	−20.8	−21.6	−13.4	+0.8	+14.7	+23.3	+21.8	+10.8	−4.7	−18.5	−25.6	−22.1	8
9	−21.0	−21.5	−13.0	+1.3	+15.1	+23.4	+21.6	+10.4	−5.2	−18.8	−25.6	−21.8	9
10	−21.1	−21.3	−12.6	+1.8	+15.5	+23.5	+21.4	+9.9	−5.7	−19.2	−25.7	−21.5	10
11	−21.3	−21.1	−12.2	+2.3	+15.9	+23.6	+21.1	+9.4	−6.2	−19.6	−25.7	−21.2	11
12	−21.5	−21.0	−11.8	+2.8	+16.2	+23.7	+20.9	+9.0	−6.7	−19.9	−25.7	−20.9	12
13	−21.6	−20.8	−11.4	+3.3	+16.6	+23.8	+20.6	+8.5	−7.2	−20.2	−25.7	−20.6	13
14	−21.7	−20.6	−11.0	+3.8	+17.0	+23.8	+20.3	+8.0	−7.7	−20.6	−25.7	−20.3	14
15	−21.9	−20.3	−10.5	+4.3	+17.3	+23.9	+20.0	+7.5	−8.2	−20.9	−25.7	−19.9	15
16	−22.0	−20.1	−10.1	+4.7	+17.7	+23.9	+19.8	+7.0	−8.7	−21.2	−25.7	−19.6	16
17	−22.1	−19.9	−9.6	+5.2	+18.0	+24.0	+19.4	+6.5	−9.2	−21.5	−25.6	−19.2	17
18	−22.2	−19.7	−9.2	+5.7	+18.4	+24.0	+19.1	+6.0	−9.7	−21.8	−25.6	−18.9	18
19	−22.3	−19.4	−8.7	+6.2	+18.7	+24.0	+18.8	+5.5	−10.2	−22.1	−25.5	−18.5	19
20	−22.3	−19.1	−8.3	+6.7	+19.0	+24.0	+18.5	+5.0	−10.6	−22.4	−25.4	−18.2	20
21	−22.4	−18.9	−7.8	+7.1	+19.3	+23.9	+18.2	+4.5	−11.1	−22.6	−25.3	−17.8	21
22	−22.5	−18.6	−7.4	+7.6	+19.6	+23.9	+17.8	+4.0	−11.6	−22.9	−25.2	−17.4	22
23	−22.5	−18.3	−6.9	+8.1	+19.9	+23.9	+17.5	+3.5	−12.1	−23.1	−25.1	−17.0	23
24	−22.5	−18.0	−6.4	+8.6	+20.2	+23.8	+17.1	+3.0	−12.5	−23.4	−25.0	−16.6	24
25	−22.5	−17.7	−6.0	+9.0	+20.5	+23.7	+16.7	+2.5	−13.0	−23.6	−24.8	−16.2	25
26	−22.6	−17.4	−5.5	+9.5	+20.7	+23.7	+16.3	+2.0	−13.4	−23.8	−24.7	−15.8	26
27	−22.5	−17.1	−5.0	+9.9	+21.0	+23.6	+16.0	+1.5	−13.9	−24.0	−24.5	−15.4	27
28	−22.5	−16.7	−4.5	+10.4	+21.2	+23.5	+15.6	+1.0	−14.3	−24.2	−24.4	−15.0	28
29	−22.5	−16.4	−4.1	+10.8	+21.5	+23.4	+15.2	+0.5	−14.8	−24.4	−24.2	−14.6	29
30	−22.5	−16.1	−3.6	+11.3	+21.7	+23.2	+14.8	−0.1	−15.2	−24.6	−24.0	−14.1	30
31	−22.4	−15.7	−3.1	+11.7	+21.9	+23.1	+14.4	−0.6	−15.6	−24.7	−23.8	−13.7	31
32	−22.4	−15.3	−2.6	+12.2	+22.1	+22.9	+13.9	−1.1	−16.1	−24.9	−23.6	−13.3	32

Declination of Mars in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−10.8	−16.2	−19.8	−22.1	−23.5	−24.7	−24.7	−25.2	−26.3	−25.9	−22.4	−16.1	0
1	−11.0	−16.4	−19.9	−22.1	−23.6	−24.7	−24.7	−25.2	−26.3	−25.8	−22.3	−15.8	1
2	−11.2	−16.5	−20.0	−22.2	−23.6	−24.7	−24.7	−25.2	−26.3	−25.8	−22.1	−15.5	2
3	−11.4	−16.7	−20.1	−22.2	−23.7	−24.7	−24.7	−25.3	−26.3	−25.7	−21.9	−15.3	3
4	−11.6	−16.8	−20.2	−22.3	−23.7	−24.7	−24.7	−25.3	−26.4	−25.6	−21.7	−15.0	4
5	−11.8	−17.0	−20.3	−22.3	−23.7	−24.8	−24.7	−25.4	−26.4	−25.6	−21.6	−14.8	5
6	−12.0	−17.1	−20.3	−22.4	−23.8	−24.8	−24.7	−25.4	−26.4	−25.5	−21.4	−14.5	6
7	−12.2	−17.2	−20.4	−22.4	−23.8	−24.8	−24.7	−25.4	−26.4	−25.4	−21.2	−14.2	7
8	−12.4	−17.4	−20.5	−22.5	−23.9	−24.8	−24.7	−25.5	−26.4	−25.3	−21.0	−13.9	8
9	−12.5	−17.5	−20.6	−22.5	−23.9	−24.8	−24.7	−25.5	−26.4	−25.2	−20.8	−13.7	9
10	−12.7	−17.6	−20.7	−22.6	−24.0	−24.8	−24.7	−25.6	−26.4	−25.1	−20.6	−13.4	10
11	−12.9	−17.8	−20.8	−22.6	−24.0	−24.8	−24.7	−25.6	−26.4	−25.1	−20.4	−13.1	11
12	−13.1	−17.9	−20.8	−22.7	−24.1	−24.8	−24.7	−25.6	−26.4	−25.0	−20.2	−12.8	12
13	−13.3	−18.0	−20.9	−22.7	−24.1	−24.8	−24.7	−25.7	−26.4	−24.9	−20.0	−12.6	13
14	−13.5	−18.1	−21.0	−22.8	−24.1	−24.8	−24.7	−25.7	−26.4	−24.8	−19.8	−12.3	14
15	−13.6	−18.3	−21.1	−22.8	−24.2	−24.8	−24.8	−25.8	−26.4	−24.6	−19.6	−12.0	15
16	−13.8	−18.4	−21.1	−22.9	−24.2	−24.8	−24.8	−25.8	−26.4	−24.5	−19.4	−11.7	16
17	−14.0	−18.5	−21.2	−22.9	−24.3	−24.8	−24.8	−25.8	−26.4	−24.4	−19.1	−11.4	17
18	−14.2	−18.6	−21.3	−23.0	−24.3	−24.8	−24.8	−25.9	−26.3	−24.3	−18.9	−11.1	18
19	−14.3	−18.7	−21.3	−23.0	−24.3	−24.8	−24.8	−25.9	−26.3	−24.2	−18.7	−10.9	19
20	−14.5	−18.9	−21.4	−23.1	−24.4	−24.8	−24.8	−26.0	−26.3	−24.1	−18.5	−10.6	20
21	−14.7	−19.0	−21.5	−23.1	−24.4	−24.7	−24.9	−26.0	−26.3	−23.9	−18.2	−10.3	21
22	−14.8	−19.1	−21.5	−23.2	−24.4	−24.7	−24.9	−26.0	−26.2	−23.8	−18.0	−10.0	22
23	−15.0	−19.2	−21.6	−23.2	−24.5	−24.7	−24.9	−26.1	−26.2	−23.7	−17.8	−9.7	23
24	−15.2	−19.3	−21.7	−23.2	−24.5	−24.7	−25.0	−26.1	−26.2	−23.5	−17.5	−9.4	24
25	−15.3	−19.4	−21.7	−23.3	−24.5	−24.7	−25.0	−26.1	−26.1	−23.4	−17.3	−9.1	25
26	−15.5	−19.5	−21.8	−23.3	−24.6	−24.7	−25.0	−26.2	−26.1	−23.2	−17.0	−8.8	26
27	−15.6	−19.6	−21.8	−23.4	−24.6	−24.7	−25.0	−26.2	−26.0	−23.1	−16.8	−8.5	27
28	−15.8	−19.7	−21.9	−23.4	−24.6	−24.7	−25.1	−26.2	−26.0	−22.9	−16.6	−8.2	28
29	−15.9	−19.8	−22.0	−23.5	−24.6	−24.7	−25.1	−26.2	−25.9	−22.8	−16.3	−7.9	29
30	−16.1	−19.9	−22.0	−23.5	−24.7	−24.7	−25.1	−26.3	−25.9	−22.6	−16.1	−7.6	30
31	−16.2	−20.0	−22.1	−23.6	−24.7	−24.7	−25.2	−26.3	−25.8	−22.4	−15.8	−7.3	31
32	−16.4	−20.1	−22.1	−23.6	−24.7	−24.7	−25.2	−26.3	−25.8	−22.3	−15.5	−7.0	32

Declination of Jupiter in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+15.5	+15.9	+16.9	+18.3	+19.8	+21.2	+22.1	+22.7	+22.9	+22.9	+22.9	+23.0	0
1	+15.5	+15.9	+16.9	+18.4	+19.9	+21.2	+22.1	+22.7	+22.9	+22.9	+22.9	+23.0	1
2	+15.5	+15.9	+16.9	+18.4	+19.9	+21.3	+22.2	+22.7	+22.9	+22.9	+22.9	+23.0	2
3	+15.5	+15.9	+17.0	+18.5	+20.0	+21.3	+22.2	+22.7	+22.9	+22.9	+22.9	+23.0	3
4	+15.5	+16.0	+17.0	+18.6	+20.0	+21.3	+22.2	+22.7	+22.9	+22.9	+22.9	+23.0	4
5	+15.5	+16.0	+17.1	+18.6	+20.1	+21.4	+22.2	+22.7	+22.9	+22.9	+22.9	+23.0	5
6	+15.5	+16.0	+17.1	+18.7	+20.1	+21.4	+22.3	+22.7	+22.9	+22.9	+22.9	+23.0	6
7	+15.5	+16.0	+17.2	+18.7	+20.2	+21.4	+22.3	+22.8	+22.9	+22.9	+22.9	+23.0	7
8	+15.5	+16.1	+17.2	+18.8	+20.2	+21.5	+22.3	+22.8	+22.9	+22.9	+22.9	+23.0	8
9	+15.5	+16.1	+17.3	+18.8	+20.3	+21.5	+22.3	+22.8	+22.9	+22.9	+22.9	+23.0	9
10	+15.5	+16.1	+17.3	+18.9	+20.3	+21.5	+22.3	+22.8	+22.9	+22.9	+23.0	+23.0	10
11	+15.5	+16.2	+17.4	+18.9	+20.4	+21.6	+22.4	+22.8	+22.9	+22.9	+23.0	+23.0	11
12	+15.6	+16.2	+17.4	+19.0	+20.4	+21.6	+22.4	+22.8	+22.9	+22.9	+23.0	+23.0	12
13	+15.6	+16.2	+17.5	+19.0	+20.4	+21.6	+22.4	+22.8	+22.9	+22.9	+23.0	+23.0	13
14	+15.6	+16.3	+17.5	+19.1	+20.5	+21.7	+22.4	+22.8	+22.9	+22.9	+23.0	+23.0	14
15	+15.6	+16.3	+17.6	+19.1	+20.5	+21.7	+22.4	+22.8	+22.9	+22.9	+23.0	+23.0	15
16	+15.6	+16.3	+17.6	+19.2	+20.6	+21.7	+22.5	+22.8	+22.9	+22.9	+23.0	+23.0	16
17	+15.6	+16.4	+17.6	+19.2	+20.6	+21.8	+22.5	+22.8	+22.9	+22.9	+23.0	+23.0	17
18	+15.6	+16.4	+17.7	+19.3	+20.7	+21.8	+22.5	+22.8	+22.9	+22.9	+23.0	+23.0	18
19	+15.6	+16.5	+17.7	+19.3	+20.7	+21.8	+22.5	+22.8	+22.9	+22.9	+23.0	+22.9	19
20	+15.6	+16.5	+17.8	+19.4	+20.7	+21.8	+22.5	+22.8	+22.9	+22.9	+23.0	+22.9	20
21	+15.7	+16.5	+17.8	+19.4	+20.8	+21.9	+22.5	+22.9	+22.9	+22.9	+23.0	+22.9	21
22	+15.7	+16.6	+17.9	+19.5	+20.8	+21.9	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	22
23	+15.7	+16.6	+17.9	+19.5	+20.9	+21.9	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	23
24	+15.7	+16.6	+18.0	+19.6	+20.9	+22.0	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	24
25	+15.7	+16.7	+18.0	+19.6	+20.9	+22.0	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	25
26	+15.7	+16.7	+18.1	+19.7	+21.0	+22.0	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	26
27	+15.8	+16.8	+18.1	+19.7	+21.0	+22.0	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	27
28	+15.8	+16.8	+18.2	+19.7	+21.1	+22.1	+22.6	+22.9	+22.9	+22.9	+23.0	+22.9	28
29	+15.8	+16.9	+18.2	+19.8	+21.1	+22.1	+22.7	+22.9	+22.9	+22.9	+23.0	+22.9	29
30	+15.8	+16.9	+18.3	+19.8	+21.1	+22.1	+22.7	+22.9	+22.9	+22.9	+23.0	+22.9	30
31	+15.9	+16.9	+18.3	+19.9	+21.2	+22.1	+22.7	+22.9	+22.9	+22.9	+23.0	+22.9	31
32	+15.9	+17.0	+18.4	+19.9	+21.2	+22.2	+22.7	+22.9	+22.9	+22.9	+23.0	+22.9	32

Declination of Saturn in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−22.6	−22.4	−22.1	−21.9	−21.9	−22.0	−22.3	−22.5	−22.7	−22.7	−22.6	−22.4	0
10	−22.5	−22.3	−22.0	−21.9	−21.9	−22.1	−22.3	−22.6	−22.7	−22.7	−22.6	−22.3	10
20	−22.4	−22.2	−22.0	−21.9	−21.9	−22.2	−22.4	−22.6	−22.7	−22.7	−22.5	−22.2	20
30	−22.4	−22.1	−21.9	−21.9	−22.0	−22.3	−22.5	−22.6	−22.7	−22.6	−22.4	−22.1	30
40	−22.3	−22.0	−21.9	−21.9	−22.1	−22.3	−22.5	−22.7	−22.7	−22.6	−22.3	−21.9	40

Declination of Uranus in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+8.1	+8.5	+8.9	+9.4	+9.6	+9.6	+9.3	+8.7	+8.0	+7.3	+6.7	+6.3	0
10	+8.2	+8.6	+9.1	+9.5	+9.7	+9.5	+9.1	+8.5	+7.7	+7.1	+6.5	+6.3	10
20	+8.3	+8.8	+9.2	+9.6	+9.6	+9.4	+8.9	+8.2	+7.5	+6.9	+6.4	+6.3	20
30	+8.4	+8.9	+9.4	+9.6	+9.6	+9.3	+8.7	+8.0	+7.3	+6.7	+6.3	+6.3	30
40	+8.6	+9.1	+9.5	+9.7	+9.5	+9.1	+8.5	+7.8	+7.1	+6.5	+6.3	+6.3	40

Declination of Neptune in 2048

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+15.8	+15.7	+15.8	+16.1	+16.3	+16.6	+16.9	+17.0	+17.0	+16.9	+16.7	+16.5	0
10	+15.7	+15.7	+15.9	+16.1	+16.4	+16.7	+16.9	+17.0	+17.0	+16.9	+16.7	+16.5	10
20	+15.7	+15.8	+16.0	+16.2	+16.5	+16.8	+17.0	+17.0	+17.0	+16.8	+16.6	+16.4	20
30	+15.7	+15.8	+16.0	+16.3	+16.6	+16.9	+17.0	+17.0	+16.9	+16.7	+16.5	+16.4	30
40	+15.7	+15.9	+16.1	+16.4	+16.7	+16.9	+17.0	+17.0	+16.9	+16.7	+16.5	+16.3	40

Meridian passages of the planets in 2048

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

Rings of Saturn in 2048

Distances from Earth to Mercury, Venus and Mars 2048

Nutation in obliquity 2048

Heliocentric positions of the planets in their orbits 2048

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

Heliocentric positions of the planets in their orbits 2048 January

Heliocentric positions of the planets in their orbits 2048 February

Heliocentric positions of the planets in their orbits 2048 March

Heliocentric positions of the planets in their orbits 2048 April

Heliocentric positions of the planets in their orbits 2048 May

Heliocentric positions of the planets in their orbits 2048 June

Heliocentric positions of the planets in their orbits 2048 July

Heliocentric positions of the planets in their orbits 2048 August

Heliocentric positions of the planets in their orbits 2048 September

Heliocentric positions of the planets in their orbits 2048 October

Heliocentric positions of the planets in their orbits 2048 November

Heliocentric positions of the planets in their orbits 2048 December

Heliocentric positions of the planets in their orbits 2048

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 +91 seconds.

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