Almanac 2046

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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 2046

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

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

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

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

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

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

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

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

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

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

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

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

December
48						1	2
49	3	4	5	6	7	8	9
50	10	11	12	13	14	15	16
51	17	18	19	20	21	22	23
52	24	25	26	27	28	29	30
1	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 2046

		d	h			d	h	m		d	h	m
Perigee:	Jan.	3	00	Equinoxes:	Mar.	20	10	58	Sep.	22	20	22
Apogee:	Jul.	5	06	Solstices:	Jun.	21	04	15	Dec.	21	17	28

Phases of the Moon 2046

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	7	04	27	Jan.	15	09	42	Jan.	22	12	54	Jan.	29	04	11
Feb.	5	23	13	Feb.	14	03	20	Feb.	20	23	47	Feb.	27	16	23
Mar.	7	18	18	Mar.	15	17	13	Mar.	22	09	30	Mar.	29	06	57
Apr.	6	11	55	Apr.	14	03	21	Apr.	20	18	24	Apr.	27	23	30
May	6	02	59	May	13	10	25	May	20	03	18	May	27	17	06
Jun.	4	15	25	Jun.	11	15	28	Jun.	18	13	13	Jun.	26	10	40
Jul.	4	01	42	Jul.	10	19	53	Jul.	18	00	58	Jul.	26	03	19
Aug.	2	10	28	Aug.	9	01	15	Aug.	16	14	53	Aug.	24	18	36
Aug.	31	18	28	Sep.	7	09	07	Sep.	15	06	42	Sep.	23	08	15
Sep.	30	02	28	Oct.	6	20	41	Oct.	14	23	44	Oct.	22	20	07
Oct.	29	11	20	Nov.	5	12	28	Nov.	13	17	07	Nov.	21	06	10
Nov.	27	21	53	Dec.	5	07	56	Dec.	13	09	58	Dec.	20	14	43
Dec.	27	10	42

Apsides of the Moon 2046

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	11	17	405 529	63.581
Jan.	23	19	359 439	56.355	Feb.	8	05	406 330	63.707
Feb.	21	07	356 802	55.941	Mar.	7	07	406 575	63.745
Mar.	21	19	357 399	56.035	Apr.	3	13	406 175	63.682
Apr.	19	03	360 863	56.578	May	1	04	405 204	63.530
May	17	00	365 908	57.369	May	28	22	404 332	63.393
Jun.	12	04	369 661	57.958	Jun.	25	17	404 190	63.371
Jul.	7	18	367 113	57.558	Jul.	23	11	404 857	63.476
Aug.	4	09	362 169	56.783	Aug.	20	02	405 827	63.628
Sep.	1	14	358 320	56.179	Sep.	16	10	406 399	63.717
Sep.	30	01	356 938	55.963	Oct.	13	11	406 315	63.704
Oct.	28	12	358 600	56.223	Nov.	9	20	405 681	63.605
Nov.	25	18	363 049	56.921	Dec.	7	13	404 832	63.472
Dec.	23	05	368 618	57.794

Passages of the Moon through the nodes 2046

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	9	09	01	Jul.	18	17	49	Jan.	23	06	23	Aug.	2	00	47
Feb.	5	15	45	Aug.	15	00	42	Feb.	19	17	48	Aug.	29	10	45
Mar.	4	21	25	Sep.	11	05	06	Mar.	19	03	00	Sep.	25	17	54
Apr.	1	00	32	Oct.	8	06	47	Apr.	15	07	10	Oct.	22	20	31
Apr.	28	02	08	Nov.	4	08	16	May	12	07	54	Nov.	18	20	59
May	25	04	58	Dec.	1	12	55	Jun.	8	09	42	Dec.	16	00	01
Jun.	21	10	29	Dec.	28	21	09	Jul.	5	15	30

Maximum declinations of the Moon 2046

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	19	18	56	+27.3	Jan.	5	05	58	−27.3
Feb.	16	04	45	+27.3	Feb.	1	11	30	−27.3
Mar.	15	12	23	+27.2	Feb.	28	17	19	−27.3
Apr.	11	17	57	+26.9	Mar.	28	00	38	−27.1
May	8	23	01	+26.7	Apr.	24	09	26	−26.9
Jun.	5	05	17	+26.7	May	21	18	34	−26.7
Jul.	2	13	24	+26.7	Jun.	18	02	43	−26.7
Jul.	29	22	44	+26.7	Jul.	15	09	24	−26.7
Aug.	26	07	50	+26.7	Aug.	11	15	06	−26.7
Sep.	22	15	17	+26.5	Sep.	7	20	58	−26.6
Oct.	19	20	53	+26.2	Oct.	5	04	08	−26.4
Nov.	16	01	54	+26.1	Nov.	1	13	02	−26.2
Dec.	13	08	11	+26.0	Nov.	28	22	55	−26.0
					Dec.	26	08	09	−26.1

Distance from the Earth to the Moon in 2046

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

Mercury 2046

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

Venus 2046

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

Mars 2046

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

Jupiter 2046

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

Saturn 2046

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

Uranus 2046

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

Neptune 2046

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

Planetary phenomena 2046

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2046

		d	h		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation				Feb.	15	06	18°	−0.5	Jun.	10	19	24°	+0.6	Oct.	7	16	25°	0.0
Stationary				Feb.	21	18			Jun.	24	15			Oct.	19	19
Inferior conjunction				Mar.	2	20			Jul.	7	18			Oct.	31	07
Stationary				Mar.	16	02			Jul.	18	20			Nov.	9	08
Greatest western elongation				Mar.	30	03	28°	+0.3	Jul.	28	15	20°	+0.2	Nov.	16	11	19°	−0.5
Superior conjunction	Jan.	16	08	May	10	08			Aug.	23	06			Dec.	27	02

Venus 2046

		d	h		Mag
Inferior conjunction	Jan.	1	14
Stationary	Jan.	21	23
Greatest western elongation	Mar.	13	01	47°	−4.4
Superior conjunction	Oct.	15	16

Superior planets 2046

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars				Mar.	11	01	Apr.	17	16	−1.6	May	28	13
Jupiter	Mar.	15	18	Aug.	8	08	Oct.	7	05	−2.9	Dec.	4	04
Saturn	Dec.	17	11	Apr.	1	12	Jun.	10	15	0.0	Aug.	20	18
Uranus	Aug.	25	03	Dec.	11	16	Feb.	18	05	+5.3	May	4	19
Neptune	May	7	04	Aug.	22	13	Nov.	10	04	+7.8	Jan.	24	03

Planets in perihelion and in aphelion 2046

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury					Jan.	2	0.46670	69.817
	Feb.	15	0.30750	46.001	Mar.	31	0.46670	69.817
	May	14	0.30750	46.001	Jun.	27	0.46670	69.818
	Aug.	10	0.30750	46.001	Sep.	23	0.46670	69.818
	Nov.	6	0.30750	46.001	Dec.	20	0.46670	69.817

Venus	Jan.	20	0.71845	107.479	May	12	0.72821	108.938
	Sep.	2	0.71846	107.480	Dec.	23	0.72821	108.939

Earth	Jan.	3	0.98334	147.106	Jul.	5	1.01673	152.100

Mars	Dec.	3	1.38138	206.652

Jupiter	Nov.	1	4.95341	741.020

Saturn: None this year

Uranus: None this year

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

Magnitudes of the planets in 2046

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

Magnitudes, phases and diameters of the planets in 2046

At 0:00 Universal Time

		Mercury			Venus			Mars		Jupiter		Saturn
		Mag	Phase	Diam	Mag	Phase	Diam	Mag	Diam	Mag	Diam	Mag	Diam
Jan.	0	−0.7	0.97	5	…	0.00	63	+1.0	6	−2.2	36	+0.5	15	Jan.	0
	5	−0.8	0.98	5	−4.2	0.01	63	+0.9	7	−2.2	36	+0.5	15		5
	10	−1.0	0.99	5	−4.4	0.03	61	+0.8	7	−2.2	36	+0.5	15		10
	15	−1.2	1.00	5	−4.6	0.07	57	+0.7	7	−2.1	35	+0.5	15		15
	20	−1.3	1.00	5	−4.8	0.11	54	+0.6	8	−2.1	35	+0.5	16		20
	25	−1.2	0.98	5	−4.8	0.15	49	+0.5	8	−2.1	34	+0.6	16		25
	30	−1.1	0.95	5	−4.9	0.20	46	+0.4	8	−2.1	34	+0.6	16		30
Feb.	4	−1.1	0.88	5	−4.9	0.25	42	+0.3	9	−2.1	34	+0.6	16	Feb.	4
	9	−0.9	0.76	6	−4.8	0.29	39	+0.2	9	−2.1	34	+0.6	16		9
	14	−0.6	0.57	7	−4.8	0.33	36	+0.1	9	−2.1	34	+0.6	16		14
	19	+0.2	0.33	8	−4.7	0.36	33	0.0	10	−2.0	33	+0.5	16		19
	24	+1.8	0.13	9	−4.7	0.40	31	−0.1	10	−2.0	33	+0.5	16		24
Mar.	1	+4.2	0.02	10	−4.6	0.43	29	−0.3	11	−2.0	33	+0.5	16	Mar.	1
	6	+3.8	0.03	11	−4.6	0.46	27	−0.4	11	−2.0	33	+0.5	16		6
	11	+2.1	0.12	10	−4.5	0.49	25	−0.6	12	−2.0	33	+0.5	17		11
	16	+1.2	0.24	10	−4.5	0.51	24	−0.7	13	−2.0	33	+0.5	17		16
	21	+0.7	0.35	9	−4.4	0.54	23	−0.9	13	−2.0	33	+0.5	17		21
	26	+0.4	0.44	8	−4.4	0.56	22	−1.0	14	−2.0	33	+0.4	17		26
	31	+0.3	0.53	7	−4.3	0.58	21	−1.2	14	−2.0	33	+0.4	17		31
Apr.	5	+0.2	0.60	7	−4.3	0.60	20	−1.3	15	−2.0	33	+0.4	17	Apr.	5
	10	0.0	0.66	6	−4.2	0.62	19	−1.4	15	−2.0	33	+0.4	17		10
	15	−0.1	0.72	6	−4.2	0.64	18	−1.5	15	−2.1	34	+0.3	18		15
	20	−0.3	0.78	6	−4.2	0.66	17	−1.6	16	−2.1	34	+0.3	18		20
	25	−0.6	0.85	5	−4.1	0.68	17	−1.5	16	−2.1	34	+0.3	18		25
	30	−1.0	0.91	5	−4.1	0.70	16	−1.5	16	−2.1	34	+0.2	18		30
May	5	−1.5	0.97	5	−4.1	0.72	16	−1.4	15	−2.1	34	+0.2	18	May	5
	10	…	1.00	5	−4.0	0.73	15	−1.3	15	−2.1	35	+0.2	18		10
	15	−1.8	0.97	5	−4.0	0.75	15	−1.2	15	−2.1	35	+0.1	18		15
	20	−1.3	0.89	5	−4.0	0.76	14	−1.1	14	−2.2	35	+0.1	18		20
	25	−0.8	0.76	6	−4.0	0.78	14	−1.0	14	−2.2	36	+0.1	18		25
	30	−0.4	0.64	6	−3.9	0.79	13	−0.8	13	−2.2	36	+0.1	18		30
Jun.	4	0.0	0.52	7	−3.9	0.81	13	−0.7	13	−2.2	37	0.0	18	Jun.	4
	9	+0.4	0.41	8	−3.9	0.82	13	−0.6	12	−2.2	37	0.0	18		9
	14	+0.8	0.32	9	−3.9	0.83	12	−0.5	12	−2.3	38	0.0	18		14
	19	+1.4	0.22	10	−3.9	0.85	12	−0.4	11	−2.3	38	0.0	18		19
	24	+2.1	0.14	11	−3.9	0.86	12	−0.3	11	−2.3	39	+0.1	18		24
	29	+3.1	0.07	11	−3.9	0.87	12	−0.3	11	−2.4	39	+0.1	18		29
Jul.	4	+4.4	0.02	12	−3.9	0.88	12	−0.2	10	−2.4	40	+0.1	18	Jul.	4
	9	+4.8	0.01	12	−3.9	0.89	11	−0.1	10	−2.4	41	+0.2	18		9
	14	+3.4	0.05	11	−3.9	0.90	11	0.0	10	−2.5	41	+0.2	18		14
	19	+2.1	0.13	10	−3.9	0.91	11	0.0	9	−2.5	42	+0.2	18		19
	24	+1.0	0.25	9	−3.9	0.92	11	+0.1	9	−2.5	43	+0.3	18		24
	29	+0.2	0.40	8	−3.9	0.93	11	+0.2	9	−2.6	43	+0.3	18		29
Aug.	3	−0.5	0.57	7	−3.9	0.94	11	+0.2	9	−2.6	44	+0.3	18	Aug.	3
	8	−1.0	0.75	6	−3.9	0.95	10	+0.3	8	−2.6	45	+0.3	18		8
	13	−1.3	0.89	5	−3.9	0.96	10	+0.3	8	−2.7	45	+0.4	17		13
	18	−1.7	0.97	5	−3.9	0.96	10	+0.4	8	−2.7	46	+0.4	17		18
	23	−1.9	1.00	5	−3.9	0.97	10	+0.4	8	−2.8	47	+0.4	17		23
	28	−1.4	0.99	5	−3.9	0.97	10	+0.5	8	−2.8	47	+0.4	17		28
Sep.	2	−0.9	0.96	5	−3.9	0.98	10	+0.5	7	−2.8	48	+0.5	17	Sep.	2
	7	−0.6	0.93	5	−3.9	0.98	10	+0.5	7	−2.8	48	+0.5	17		7
	12	−0.4	0.89	5	−3.9	0.99	10	+0.6	7	−2.9	49	+0.5	17		12
	17	−0.2	0.85	5	−3.9	0.99	10	+0.6	7	−2.9	49	+0.5	16		17
	22	−0.1	0.81	6	−3.9	0.99	10	+0.6	7	−2.9	49	+0.5	16		22
	27	−0.1	0.76	6	−3.9	1.00	10	+0.6	7	−2.9	50	+0.5	16		27
Oct.	2	0.0	0.70	6	−3.9	1.00	10	+0.7	6	−2.9	50	+0.5	16	Oct.	2
	7	0.0	0.62	7	−3.9	1.00	10	+0.7	6	−2.9	50	+0.6	16		7
	12	+0.1	0.52	7	…	1.00	10	+0.7	6	−2.9	50	+0.6	16		12
	17	+0.4	0.39	8	…	1.00	10	+0.7	6	−2.9	50	+0.6	16		17
	22	+1.1	0.23	9	−3.9	1.00	10	+0.8	6	−2.9	49	+0.6	16		22
	27	+2.8	0.06	10	−3.9	1.00	10	+0.8	6	−2.9	49	+0.6	16		27
Nov.	1	…	0.00	10	−3.9	1.00	10	+0.8	6	−2.9	49	+0.6	15	Nov.	1
	6	+1.7	0.12	9	−3.9	1.00	10	+0.8	6	−2.8	48	+0.5	15		6
	11	+0.1	0.36	8	−3.9	0.99	10	+0.9	6	−2.8	48	+0.5	15		11
	16	−0.5	0.58	7	−3.9	0.99	10	+0.9	6	−2.8	47	+0.5	15		16
	21	−0.7	0.74	6	−3.9	0.99	10	+0.9	6	−2.7	46	+0.5	15		21
	26	−0.7	0.84	6	−3.9	0.98	10	+0.9	5	−2.7	46	+0.5	15		26
Dec.	1	−0.7	0.91	5	−3.9	0.98	10	+0.9	5	−2.7	45	+0.5	15	Dec.	1
	6	−0.7	0.95	5	−3.9	0.98	10	+1.0	5	−2.6	44	+0.5	15		6
	11	−0.8	0.97	5	−3.9	0.97	10	+1.0	5	−2.6	43	+0.4	15		11
	16	−0.9	0.99	5	−3.9	0.97	10	+1.0	5	−2.6	43	+0.4	15		16
	21	−1.0	1.00	5	−3.9	0.96	10	+1.0	5	−2.5	42	+0.4	15		21
	26	−1.2	1.00	5	−3.9	0.96	10	+1.0	5	−2.5	41	+0.5	15		26
	31	−1.1	1.00	5	−3.9	0.95	11	+1.1	5	−2.4	41	+0.5	15		31
	36	−1.0	0.99	5	−3.9	0.94	11	+1.1	5	−2.4	40	+0.5	15		36

Declinations of the Sun, Moon and planets in 2046

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

Declinations of the Sun and planets in 2046

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

Declination of the Sun in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.4	−8.0	+4.1	+14.8	+21.9	+23.2	+18.3	+8.6	−2.8	−14.1	−21.6	0
1	−23.0	−17.1	−7.6	+4.5	+15.1	+22.0	+23.1	+18.0	+8.3	−3.2	−14.4	−21.8	1
2	−22.9	−16.8	−7.2	+4.9	+15.4	+22.2	+23.0	+17.8	+7.9	−3.6	−14.7	−21.9	2
3	−22.8	−16.5	−6.8	+5.3	+15.7	+22.3	+23.0	+17.5	+7.6	−3.9	−15.0	−22.1	3
4	−22.7	−16.2	−6.5	+5.7	+16.0	+22.4	+22.9	+17.2	+7.2	−4.3	−15.4	−22.2	4
5	−22.6	−15.9	−6.1	+6.1	+16.2	+22.5	+22.8	+17.0	+6.8	−4.7	−15.7	−22.4	5
6	−22.5	−15.6	−5.7	+6.4	+16.5	+22.6	+22.7	+16.7	+6.4	−5.1	−16.0	−22.5	6
7	−22.4	−15.3	−5.3	+6.8	+16.8	+22.7	+22.6	+16.4	+6.1	−5.5	−16.3	−22.6	7
8	−22.2	−15.0	−4.9	+7.2	+17.1	+22.8	+22.5	+16.1	+5.7	−5.9	−16.5	−22.7	8
9	−22.1	−14.7	−4.5	+7.6	+17.3	+22.9	+22.4	+15.9	+5.3	−6.2	−16.8	−22.8	9
10	−22.0	−14.4	−4.1	+7.9	+17.6	+23.0	+22.2	+15.6	+4.9	−6.6	−17.1	−22.9	10
11	−21.8	−14.0	−3.7	+8.3	+17.9	+23.1	+22.1	+15.3	+4.6	−7.0	−17.4	−23.0	11
12	−21.7	−13.7	−3.3	+8.7	+18.1	+23.1	+22.0	+15.0	+4.2	−7.4	−17.7	−23.1	12
13	−21.5	−13.4	−2.9	+9.0	+18.4	+23.2	+21.8	+14.7	+3.8	−7.8	−17.9	−23.1	13
14	−21.3	−13.0	−2.6	+9.4	+18.6	+23.3	+21.7	+14.4	+3.4	−8.1	−18.2	−23.2	14
15	−21.1	−12.7	−2.2	+9.8	+18.9	+23.3	+21.5	+14.1	+3.0	−8.5	−18.5	−23.3	15
16	−20.9	−12.4	−1.8	+10.1	+19.1	+23.3	+21.4	+13.7	+2.7	−8.9	−18.7	−23.3	16
17	−20.8	−12.0	−1.4	+10.5	+19.3	+23.4	+21.2	+13.4	+2.3	−9.2	−19.0	−23.3	17
18	−20.6	−11.7	−1.0	+10.8	+19.5	+23.4	+21.0	+13.1	+1.9	−9.6	−19.2	−23.4	18
19	−20.3	−11.3	−0.6	+11.2	+19.8	+23.4	+20.8	+12.8	+1.5	−10.0	−19.4	−23.4	19
20	−20.1	−10.9	−0.2	+11.5	+20.0	+23.4	+20.7	+12.4	+1.1	−10.3	−19.7	−23.4	20
21	−19.9	−10.6	+0.2	+11.8	+20.2	+23.4	+20.5	+12.1	+0.7	−10.7	−19.9	−23.4	21
22	−19.7	−10.2	+0.6	+12.2	+20.4	+23.4	+20.3	+11.8	+0.3	−11.0	−20.1	−23.4	22
23	−19.5	−9.9	+1.0	+12.5	+20.6	+23.4	+20.1	+11.4	−0.1	−11.4	−20.3	−23.4	23
24	−19.2	−9.5	+1.4	+12.8	+20.8	+23.4	+19.9	+11.1	−0.4	−11.7	−20.5	−23.4	24
25	−19.0	−9.1	+1.8	+13.2	+20.9	+23.4	+19.7	+10.8	−0.8	−12.1	−20.7	−23.4	25
26	−18.7	−8.7	+2.2	+13.5	+21.1	+23.4	+19.4	+10.4	−1.2	−12.4	−20.9	−23.4	26
27	−18.5	−8.4	+2.6	+13.8	+21.3	+23.3	+19.2	+10.1	−1.6	−12.8	−21.1	−23.3	27
28	−18.2	−8.0	+3.0	+14.1	+21.5	+23.3	+19.0	+9.7	−2.0	−13.1	−21.3	−23.3	28
29	−17.9	−7.6	+3.4	+14.5	+21.6	+23.2	+18.7	+9.4	−2.4	−13.4	−21.5	−23.2	29
30	−17.7	−7.2	+3.7	+14.8	+21.8	+23.2	+18.5	+9.0	−2.8	−13.8	−21.6	−23.2	30
31	−17.4	−6.8	+4.1	+15.1	+21.9	+23.1	+18.3	+8.6	−3.2	−14.1	−21.8	−23.1	31
32	−17.1	−6.5	+4.5	+15.4	+22.0	+23.0	+18.0	+8.3	−3.6	−14.4	−21.9	−23.0	32

Declination of the Moon in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−9.2	−25.8	−26.9	−21.3	−9.0	+10.6	+22.2	+25.9	+10.6	−6.4	−24.2	−25.1	0
1	−14.9	−27.2	−27.2	−17.3	−3.7	+15.4	+25.0	+23.3	+4.1	−12.7	−26.0	−22.7	1
2	−19.8	−27.1	−26.1	−12.7	+1.6	+19.7	+26.5	+19.3	−2.7	−18.3	−26.0	−19.2	2
3	−23.6	−25.7	−23.8	−7.7	+6.9	+23.2	+26.6	+14.0	−9.3	−22.6	−24.5	−14.8	3
4	−26.2	−23.1	−20.5	−2.4	+12.0	+25.6	+25.0	+7.9	−15.3	−25.3	−21.7	−9.9	4
5	−27.2	−19.5	−16.3	+3.0	+16.8	+26.7	+21.9	+1.3	−20.3	−26.4	−17.9	−4.8	5
6	−26.9	−15.2	−11.5	+8.3	+20.9	+26.2	+17.4	−5.3	−23.9	−25.9	−13.4	+0.5	6
7	−25.1	−10.2	−6.4	+13.4	+24.1	+24.2	+11.9	−11.5	−26.1	−23.9	−8.5	+5.6	7
8	−22.2	−5.0	−1.0	+18.0	+26.1	+20.7	+5.7	−17.1	−26.6	−20.8	−3.3	+10.6	8
9	−18.4	+0.4	+4.4	+21.9	+26.8	+16.0	−0.7	−21.5	−25.7	−16.9	+1.9	+15.2	9
10	−13.8	+5.8	+9.7	+24.8	+25.9	+10.4	−7.1	−24.7	−23.4	−12.3	+7.0	+19.3	10
11	−8.8	+11.0	+14.6	+26.6	+23.6	+4.3	−13.0	−26.5	−20.1	−7.3	+11.9	+22.6	11
12	−3.5	+15.9	+19.1	+26.9	+19.9	−2.1	−18.2	−26.6	−16.0	−2.1	+16.4	+24.9	12
13	+1.9	+20.2	+22.8	+25.8	+15.0	−8.3	−22.4	−25.4	−11.2	+3.1	+20.3	+26.0	13
14	+7.3	+23.8	+25.5	+23.1	+9.3	−14.2	−25.3	−22.8	−6.1	+8.3	+23.3	+25.7	14
15	+12.5	+26.2	+27.0	+19.1	+3.0	−19.2	−26.6	−19.2	−0.9	+13.1	+25.3	+24.1	15
16	+17.3	+27.3	+27.0	+13.9	−3.4	−23.2	−26.5	−14.9	+4.4	+17.5	+26.1	+21.1	16
17	+21.5	+26.8	+25.4	+7.8	−9.8	−25.7	−24.8	−10.0	+9.6	+21.2	+25.5	+16.9	17
18	+24.8	+24.5	+22.3	+1.2	−15.6	−26.7	−21.9	−4.8	+14.3	+24.0	+23.5	+11.8	18
19	+26.8	+20.6	+17.7	−5.5	−20.5	−26.1	−18.1	+0.6	+18.6	+25.8	+20.3	+6.0	19
20	+27.3	+15.3	+11.9	−12.0	−24.2	−24.0	−13.5	+5.9	+22.1	+26.3	+15.9	−0.1	20
21	+26.0	+8.9	+5.3	−17.7	−26.3	−20.8	−8.4	+10.9	+24.8	+25.4	+10.7	−6.2	21
22	+22.9	+2.0	−1.6	−22.2	−26.7	−16.6	−3.2	+15.6	+26.2	+23.1	+4.8	−12.1	22
23	+18.2	−4.9	−8.4	−25.3	−25.6	−11.9	+2.2	+19.8	+26.4	+19.6	−1.4	−17.3	23
24	+12.4	−11.4	−14.7	−26.8	−23.1	−6.8	+7.4	+23.1	+25.2	+14.9	−7.7	−21.6	24
25	+5.8	−17.2	−19.9	−26.6	−19.5	−1.5	+12.4	+25.5	+22.5	+9.3	−13.6	−24.6	25
26	−1.0	−21.8	−23.9	−25.0	−15.2	+3.8	+17.0	+26.6	+18.4	+3.1	−18.8	−26.0	26
27	−7.6	−25.1	−26.3	−22.1	−10.4	+9.0	+21.0	+26.3	+13.2	−3.5	−22.8	−25.7	27
28	−13.6	−26.9	−27.1	−18.3	−5.2	+13.9	+24.1	+24.5	+7.0	−9.9	−25.3	−23.8	28
29	−18.8	−27.2	−26.4	−13.9	+0.1	+18.4	+26.1	+21.2	+0.4	−15.8	−26.1	−20.7	29
30	−22.9	−26.1	−24.4	−9.0	+5.4	+22.2	+26.8	+16.4	−6.4	−20.7	−25.1	−16.5	30
31	−25.8	−23.8	−21.3	−3.7	+10.6	+25.0	+25.9	+10.6	−12.7	−24.2	−22.7	−11.7	31
32	−27.2	−20.5	−17.3	+1.6	+15.4	+26.5	+23.3	+4.1	−18.3	−26.0	−19.2	−6.5	32

Declination of Mercury in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−24.3	−16.0	−2.5	−8.3	+9.4	+25.6	+18.7	+20.7	+7.2	−13.9	−15.0	−17.4	0
1	−24.4	−15.3	−2.8	−8.0	+10.2	+25.6	+18.5	+20.8	+6.4	−14.4	−14.3	−17.9	1
2	−24.4	−14.6	−3.1	−7.7	+11.0	+25.5	+18.4	+20.8	+5.6	−14.9	−13.5	−18.4	2
3	−24.5	−13.9	−3.6	−7.3	+11.8	+25.4	+18.2	+20.9	+4.8	−15.4	−12.8	−18.8	3
4	−24.5	−13.2	−4.0	−7.0	+12.7	+25.3	+18.1	+20.9	+4.0	−15.9	−12.2	−19.3	4
5	−24.5	−12.5	−4.5	−6.6	+13.5	+25.2	+18.0	+20.8	+3.3	−16.4	−11.6	−19.7	5
6	−24.5	−11.8	−5.0	−6.2	+14.3	+25.0	+17.9	+20.7	+2.5	−16.8	−11.1	−20.1	6
7	−24.4	−11.0	−5.5	−5.7	+15.1	+24.8	+17.9	+20.6	+1.7	−17.2	−10.6	−20.6	7
8	−24.4	−10.3	−5.9	−5.3	+15.9	+24.6	+17.8	+20.5	+0.9	−17.6	−10.3	−21.0	8
9	−24.3	−9.5	−6.4	−4.8	+16.7	+24.4	+17.8	+20.2	+0.2	−18.0	−10.1	−21.3	9
10	−24.2	−8.8	−6.9	−4.3	+17.5	+24.2	+17.8	+20.0	−0.6	−18.4	−10.0	−21.7	10
11	−24.0	−8.0	−7.3	−3.8	+18.2	+23.9	+17.9	+19.7	−1.3	−18.7	−9.9	−22.0	11
12	−23.8	−7.3	−7.7	−3.2	+18.9	+23.6	+17.9	+19.4	−2.1	−19.0	−10.0	−22.4	12
13	−23.7	−6.6	−8.1	−2.7	+19.6	+23.4	+18.0	+19.0	−2.8	−19.2	−10.1	−22.7	13
14	−23.4	−5.9	−8.4	−2.1	+20.3	+23.1	+18.1	+18.5	−3.6	−19.4	−10.3	−23.0	14
15	−23.2	−5.2	−8.7	−1.5	+21.0	+22.8	+18.2	+18.1	−4.3	−19.6	−10.5	−23.3	15
16	−22.9	−4.6	−8.9	−0.9	+21.6	+22.5	+18.3	+17.6	−5.0	−19.8	−10.8	−23.5	16
17	−22.7	−4.1	−9.1	−0.2	+22.1	+22.2	+18.4	+17.0	−5.7	−19.9	−11.2	−23.8	17
18	−22.3	−3.6	−9.3	+0.4	+22.6	+21.9	+18.6	+16.5	−6.4	−19.9	−11.6	−24.0	18
19	−22.0	−3.1	−9.4	+1.1	+23.1	+21.6	+18.7	+15.9	−7.1	−19.9	−12.0	−24.2	19
20	−21.6	−2.7	−9.5	+1.8	+23.6	+21.3	+18.9	+15.2	−7.8	−19.9	−12.4	−24.3	20
21	−21.2	−2.4	−9.6	+2.5	+24.0	+21.0	+19.1	+14.6	−8.4	−19.8	−12.9	−24.5	21
22	−20.8	−2.2	−9.6	+3.2	+24.3	+20.7	+19.3	+13.9	−9.1	−19.6	−13.4	−24.6	22
23	−20.4	−2.0	−9.6	+3.9	+24.6	+20.4	+19.5	+13.2	−9.7	−19.4	−13.9	−24.7	23
24	−19.9	−2.0	−9.5	+4.7	+24.9	+20.2	+19.6	+12.5	−10.4	−19.1	−14.4	−24.8	24
25	−19.4	−2.0	−9.4	+5.4	+25.1	+19.9	+19.8	+11.7	−11.0	−18.7	−14.9	−24.9	25
26	−18.9	−2.1	−9.3	+6.2	+25.3	+19.6	+20.0	+11.0	−11.6	−18.2	−15.4	−24.9	26
27	−18.4	−2.2	−9.2	+7.0	+25.4	+19.4	+20.2	+10.2	−12.2	−17.7	−15.9	−24.9	27
28	−17.8	−2.5	−9.0	+7.8	+25.5	+19.1	+20.3	+9.5	−12.8	−17.1	−16.4	−24.9	28
29	−17.2	−2.8	−8.8	+8.6	+25.6	+18.9	+20.5	+8.7	−13.3	−16.4	−16.9	−24.9	29
30	−16.6	−3.1	−8.6	+9.4	+25.6	+18.7	+20.6	+7.9	−13.9	−15.7	−17.4	−24.9	30
31	−16.0	−3.6	−8.3	+10.2	+25.6	+18.5	+20.7	+7.2	−14.4	−15.0	−17.9	−24.8	31
32	−15.3	−4.0	−8.0	+11.0	+25.6	+18.4	+20.8	+6.4	−14.9	−14.3	−18.4	−24.7	32

Declination of Venus in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−19.5	−17.1	−17.6	−12.6	−1.9	+11.2	+20.7	+22.3	+14.0	+0.1	−14.6	−23.4	0
1	−19.3	−17.2	−17.6	−12.4	−1.5	+11.6	+20.9	+22.2	+13.6	−0.4	−15.1	−23.6	1
2	−19.1	−17.2	−17.5	−12.1	−1.1	+12.0	+21.1	+22.1	+13.2	−0.9	−15.5	−23.7	2
3	−18.9	−17.3	−17.5	−11.8	−0.7	+12.3	+21.3	+21.9	+12.8	−1.4	−15.9	−23.8	3
4	−18.8	−17.3	−17.4	−11.5	−0.2	+12.7	+21.5	+21.8	+12.4	−1.9	−16.3	−23.9	4
5	−18.6	−17.3	−17.3	−11.2	+0.2	+13.1	+21.6	+21.6	+12.0	−2.4	−16.7	−24.0	5
6	−18.4	−17.4	−17.2	−10.9	+0.6	+13.5	+21.8	+21.4	+11.6	−2.9	−17.0	−24.1	6
7	−18.3	−17.4	−17.1	−10.5	+1.0	+13.9	+21.9	+21.2	+11.1	−3.4	−17.4	−24.1	7
8	−18.1	−17.5	−17.0	−10.2	+1.5	+14.2	+22.1	+21.0	+10.7	−3.9	−17.8	−24.2	8
9	−18.0	−17.5	−16.9	−9.9	+1.9	+14.6	+22.2	+20.8	+10.2	−4.4	−18.1	−24.2	9
10	−17.9	−17.5	−16.8	−9.6	+2.3	+14.9	+22.3	+20.6	+9.8	−4.9	−18.5	−24.3	10
11	−17.7	−17.6	−16.7	−9.2	+2.8	+15.3	+22.4	+20.4	+9.3	−5.4	−18.8	−24.3	11
12	−17.6	−17.6	−16.6	−8.9	+3.2	+15.6	+22.5	+20.2	+8.9	−5.9	−19.1	−24.3	12
13	−17.5	−17.7	−16.4	−8.5	+3.6	+16.0	+22.6	+19.9	+8.4	−6.4	−19.5	−24.2	13
14	−17.4	−17.7	−16.3	−8.2	+4.1	+16.3	+22.7	+19.7	+8.0	−6.9	−19.8	−24.2	14
15	−17.3	−17.7	−16.1	−7.8	+4.5	+16.6	+22.7	+19.4	+7.5	−7.3	−20.1	−24.2	15
16	−17.3	−17.7	−16.0	−7.4	+4.9	+17.0	+22.8	+19.1	+7.0	−7.8	−20.4	−24.1	16
17	−17.2	−17.8	−15.8	−7.1	+5.3	+17.3	+22.8	+18.8	+6.5	−8.3	−20.7	−24.1	17
18	−17.2	−17.8	−15.6	−6.7	+5.8	+17.6	+22.9	+18.6	+6.1	−8.8	−21.0	−24.0	18
19	−17.1	−17.8	−15.4	−6.3	+6.2	+17.9	+22.9	+18.3	+5.6	−9.3	−21.2	−23.9	19
20	−17.1	−17.8	−15.3	−5.9	+6.6	+18.2	+22.9	+18.0	+5.1	−9.7	−21.5	−23.8	20
21	−17.1	−17.8	−15.1	−5.5	+7.0	+18.5	+22.9	+17.6	+4.6	−10.2	−21.7	−23.7	21
22	−17.0	−17.8	−14.8	−5.2	+7.5	+18.8	+22.9	+17.3	+4.1	−10.7	−22.0	−23.6	22
23	−17.0	−17.8	−14.6	−4.8	+7.9	+19.0	+22.9	+17.0	+3.6	−11.1	−22.2	−23.4	23
24	−17.0	−17.8	−14.4	−4.4	+8.3	+19.3	+22.8	+16.6	+3.1	−11.6	−22.4	−23.3	24
25	−17.0	−17.7	−14.2	−4.0	+8.7	+19.5	+22.8	+16.3	+2.6	−12.0	−22.6	−23.1	25
26	−17.0	−17.7	−13.9	−3.6	+9.1	+19.8	+22.7	+15.9	+2.1	−12.5	−22.8	−23.0	26
27	−17.0	−17.7	−13.7	−3.1	+9.6	+20.0	+22.7	+15.6	+1.6	−12.9	−23.0	−22.8	27
28	−17.1	−17.6	−13.4	−2.7	+10.0	+20.3	+22.6	+15.2	+1.1	−13.4	−23.1	−22.6	28
29	−17.1	−17.6	−13.2	−2.3	+10.4	+20.5	+22.5	+14.8	+0.6	−13.8	−23.3	−22.4	29
30	−17.1	−17.5	−12.9	−1.9	+10.8	+20.7	+22.4	+14.4	+0.1	−14.2	−23.4	−22.2	30
31	−17.1	−17.5	−12.6	−1.5	+11.2	+20.9	+22.3	+14.0	−0.4	−14.6	−23.6	−21.9	31
32	−17.2	−17.4	−12.4	−1.1	+11.6	+21.1	+22.2	+13.6	−0.9	−15.1	−23.7	−21.7	32

Declination of Mars in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−4.3	−8.9	−11.1	−10.6	−7.8	−7.0	−10.1	−15.3	−20.7	−24.3	−24.8	−21.5	0
1	−4.5	−9.0	−11.1	−10.5	−7.7	−7.1	−10.2	−15.5	−20.8	−24.4	−24.8	−21.3	1
2	−4.6	−9.1	−11.1	−10.4	−7.6	−7.1	−10.4	−15.6	−21.0	−24.4	−24.7	−21.1	2
3	−4.8	−9.2	−11.2	−10.4	−7.6	−7.2	−10.5	−15.8	−21.1	−24.5	−24.7	−20.9	3
4	−5.0	−9.3	−11.2	−10.3	−7.5	−7.3	−10.7	−16.0	−21.3	−24.6	−24.6	−20.7	4
5	−5.1	−9.4	−11.2	−10.2	−7.4	−7.3	−10.8	−16.2	−21.4	−24.6	−24.5	−20.5	5
6	−5.3	−9.5	−11.2	−10.1	−7.3	−7.4	−11.0	−16.4	−21.6	−24.7	−24.5	−20.4	6
7	−5.5	−9.6	−11.2	−10.0	−7.3	−7.5	−11.1	−16.5	−21.7	−24.7	−24.4	−20.2	7
8	−5.6	−9.7	−11.3	−9.9	−7.2	−7.5	−11.3	−16.7	−21.8	−24.8	−24.3	−20.0	8
9	−5.8	−9.8	−11.3	−9.9	−7.2	−7.6	−11.4	−16.9	−22.0	−24.8	−24.2	−19.7	9
10	−6.0	−9.9	−11.3	−9.8	−7.1	−7.7	−11.6	−17.1	−22.1	−24.9	−24.1	−19.5	10
11	−6.1	−10.0	−11.3	−9.7	−7.1	−7.8	−11.8	−17.3	−22.3	−24.9	−24.0	−19.3	11
12	−6.3	−10.1	−11.3	−9.6	−7.0	−7.9	−11.9	−17.4	−22.4	−25.0	−23.9	−19.1	12
13	−6.4	−10.1	−11.3	−9.5	−7.0	−8.0	−12.1	−17.6	−22.5	−25.0	−23.8	−18.9	13
14	−6.6	−10.2	−11.3	−9.4	−6.9	−8.1	−12.3	−17.8	−22.6	−25.0	−23.7	−18.7	14
15	−6.7	−10.3	−11.2	−9.3	−6.9	−8.2	−12.4	−18.0	−22.8	−25.0	−23.6	−18.4	15
16	−6.9	−10.4	−11.2	−9.2	−6.9	−8.3	−12.6	−18.1	−22.9	−25.1	−23.5	−18.2	16
17	−7.0	−10.4	−11.2	−9.1	−6.9	−8.4	−12.8	−18.3	−23.0	−25.1	−23.4	−18.0	17
18	−7.2	−10.5	−11.2	−9.0	−6.8	−8.5	−13.0	−18.5	−23.1	−25.1	−23.3	−17.8	18
19	−7.3	−10.6	−11.2	−8.9	−6.8	−8.6	−13.1	−18.7	−23.2	−25.1	−23.1	−17.5	19
20	−7.4	−10.7	−11.1	−8.8	−6.8	−8.7	−13.3	−18.8	−23.3	−25.1	−23.0	−17.3	20
21	−7.6	−10.7	−11.1	−8.7	−6.8	−8.9	−13.5	−19.0	−23.5	−25.1	−22.9	−17.0	21
22	−7.7	−10.8	−11.1	−8.6	−6.8	−9.0	−13.7	−19.2	−23.6	−25.1	−22.7	−16.8	22
23	−7.9	−10.8	−11.0	−8.5	−6.8	−9.1	−13.8	−19.3	−23.7	−25.1	−22.6	−16.5	23
24	−8.0	−10.9	−11.0	−8.4	−6.8	−9.2	−14.0	−19.5	−23.8	−25.1	−22.4	−16.3	24
25	−8.1	−10.9	−10.9	−8.3	−6.9	−9.4	−14.2	−19.7	−23.9	−25.0	−22.3	−16.0	25
26	−8.2	−11.0	−10.9	−8.2	−6.9	−9.5	−14.4	−19.8	−23.9	−25.0	−22.1	−15.8	26
27	−8.4	−11.0	−10.8	−8.1	−6.9	−9.6	−14.5	−20.0	−24.0	−25.0	−22.0	−15.5	27
28	−8.5	−11.1	−10.8	−8.0	−6.9	−9.8	−14.7	−20.2	−24.1	−24.9	−21.8	−15.3	28
29	−8.6	−11.1	−10.7	−7.9	−7.0	−9.9	−14.9	−20.3	−24.2	−24.9	−21.6	−15.0	29
30	−8.7	−11.1	−10.7	−7.8	−7.0	−10.1	−15.1	−20.5	−24.3	−24.9	−21.5	−14.7	30
31	−8.9	−11.2	−10.6	−7.7	−7.0	−10.2	−15.3	−20.7	−24.4	−24.8	−21.3	−14.5	31
32	−9.0	−11.2	−10.5	−7.6	−7.1	−10.4	−15.5	−20.8	−24.4	−24.8	−21.1	−14.2	32

Declination of Jupiter in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−9.3	−6.9	−4.4	−1.4	+1.3	+3.7	+5.3	+6.1	+5.7	+4.4	+2.9	+2.3	0
1	−9.3	−6.8	−4.3	−1.3	+1.4	+3.8	+5.4	+6.1	+5.6	+4.3	+2.8	+2.3	1
2	−9.2	−6.7	−4.2	−1.2	+1.5	+3.8	+5.4	+6.1	+5.6	+4.3	+2.8	+2.3	2
3	−9.1	−6.7	−4.1	−1.1	+1.6	+3.9	+5.5	+6.1	+5.6	+4.2	+2.8	+2.3	3
4	−9.1	−6.6	−4.0	−1.0	+1.6	+4.0	+5.5	+6.1	+5.5	+4.2	+2.7	+2.3	4
5	−9.0	−6.5	−3.9	−0.9	+1.7	+4.0	+5.5	+6.1	+5.5	+4.1	+2.7	+2.3	5
6	−8.9	−6.4	−3.8	−0.8	+1.8	+4.1	+5.6	+6.1	+5.5	+4.1	+2.7	+2.3	6
7	−8.9	−6.3	−3.7	−0.8	+1.9	+4.1	+5.6	+6.1	+5.4	+4.0	+2.6	+2.3	7
8	−8.8	−6.2	−3.6	−0.7	+2.0	+4.2	+5.6	+6.1	+5.4	+4.0	+2.6	+2.3	8
9	−8.7	−6.1	−3.5	−0.6	+2.1	+4.3	+5.7	+6.1	+5.4	+3.9	+2.6	+2.3	9
10	−8.6	−6.0	−3.4	−0.5	+2.1	+4.3	+5.7	+6.1	+5.3	+3.9	+2.6	+2.3	10
11	−8.6	−5.9	−3.3	−0.4	+2.2	+4.4	+5.7	+6.1	+5.3	+3.8	+2.5	+2.3	11
12	−8.5	−5.9	−3.2	−0.3	+2.3	+4.4	+5.8	+6.1	+5.2	+3.8	+2.5	+2.3	12
13	−8.4	−5.8	−3.1	−0.2	+2.4	+4.5	+5.8	+6.1	+5.2	+3.7	+2.5	+2.4	13
14	−8.3	−5.7	−3.0	−0.1	+2.5	+4.6	+5.8	+6.0	+5.1	+3.7	+2.5	+2.4	14
15	−8.2	−5.6	−2.9	0.0	+2.5	+4.6	+5.8	+6.0	+5.1	+3.6	+2.4	+2.4	15
16	−8.2	−5.5	−2.8	+0.1	+2.6	+4.7	+5.9	+6.0	+5.1	+3.6	+2.4	+2.4	16
17	−8.1	−5.4	−2.7	+0.2	+2.7	+4.7	+5.9	+6.0	+5.0	+3.5	+2.4	+2.4	17
18	−8.0	−5.3	−2.6	+0.3	+2.8	+4.8	+5.9	+6.0	+5.0	+3.5	+2.4	+2.5	18
19	−7.9	−5.2	−2.6	+0.3	+2.8	+4.8	+5.9	+6.0	+4.9	+3.4	+2.4	+2.5	19
20	−7.8	−5.1	−2.5	+0.4	+2.9	+4.9	+5.9	+6.0	+4.9	+3.4	+2.3	+2.5	20
21	−7.8	−5.0	−2.4	+0.5	+3.0	+4.9	+6.0	+5.9	+4.8	+3.3	+2.3	+2.5	21
22	−7.7	−4.9	−2.3	+0.6	+3.1	+5.0	+6.0	+5.9	+4.8	+3.3	+2.3	+2.6	22
23	−7.6	−4.8	−2.2	+0.7	+3.1	+5.0	+6.0	+5.9	+4.7	+3.2	+2.3	+2.6	23
24	−7.5	−4.7	−2.1	+0.8	+3.2	+5.1	+6.0	+5.9	+4.7	+3.2	+2.3	+2.6	24
25	−7.4	−4.6	−2.0	+0.9	+3.3	+5.1	+6.0	+5.8	+4.6	+3.1	+2.3	+2.7	25
26	−7.3	−4.6	−1.9	+1.0	+3.4	+5.2	+6.0	+5.8	+4.6	+3.1	+2.3	+2.7	26
27	−7.3	−4.5	−1.8	+1.0	+3.4	+5.2	+6.0	+5.8	+4.5	+3.0	+2.3	+2.7	27
28	−7.2	−4.4	−1.7	+1.1	+3.5	+5.3	+6.1	+5.8	+4.5	+3.0	+2.3	+2.8	28
29	−7.1	−4.3	−1.6	+1.2	+3.6	+5.3	+6.1	+5.7	+4.4	+3.0	+2.3	+2.8	29
30	−7.0	−4.2	−1.5	+1.3	+3.6	+5.3	+6.1	+5.7	+4.4	+2.9	+2.3	+2.8	30
31	−6.9	−4.1	−1.4	+1.4	+3.7	+5.4	+6.1	+5.7	+4.3	+2.9	+2.3	+2.9	31
32	−6.8	−4.0	−1.3	+1.5	+3.8	+5.4	+6.1	+5.6	+4.3	+2.8	+2.3	+2.9	32

Declination of Saturn in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−21.4	−21.6	−21.7	−21.7	−21.7	−21.6	−21.4	−21.4	−21.4	−21.7	−21.9	−22.2	0
10	−21.5	−21.7	−21.8	−21.7	−21.6	−21.5	−21.4	−21.4	−21.5	−21.7	−22.0	−22.2	10
20	−21.6	−21.7	−21.8	−21.7	−21.6	−21.5	−21.4	−21.4	−21.6	−21.8	−22.1	−22.3	20
30	−21.6	−21.7	−21.7	−21.7	−21.6	−21.4	−21.4	−21.4	−21.7	−21.9	−22.2	−22.3	30
40	−21.7	−21.8	−21.7	−21.6	−21.5	−21.4	−21.4	−21.5	−21.7	−22.0	−22.2	−22.4	40

Declination of Uranus in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+11.7	+12.1	+12.5	+12.9	+13.1	+12.9	+12.6	+12.0	+11.3	+10.7	+10.1	+9.9	0
10	+11.8	+12.2	+12.6	+13.0	+13.1	+12.8	+12.4	+11.8	+11.1	+10.5	+10.0	+9.9	10
20	+11.9	+12.4	+12.8	+13.0	+13.0	+12.7	+12.2	+11.5	+10.9	+10.3	+9.9	+9.9	20
30	+12.1	+12.5	+12.9	+13.1	+12.9	+12.6	+12.0	+11.3	+10.7	+10.2	+9.9	+9.9	30
40	+12.2	+12.7	+13.0	+13.1	+12.8	+12.4	+11.8	+11.1	+10.5	+10.0	+9.9	+10.0	40

Declination of Neptune in 2046

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+14.5	+14.4	+14.6	+14.8	+15.1	+15.5	+15.7	+15.8	+15.9	+15.7	+15.5	+15.3	0
10	+14.4	+14.5	+14.6	+14.9	+15.2	+15.6	+15.8	+15.9	+15.8	+15.7	+15.4	+15.2	10
20	+14.4	+14.5	+14.7	+15.0	+15.4	+15.6	+15.8	+15.9	+15.8	+15.6	+15.4	+15.2	20
30	+14.4	+14.6	+14.8	+15.1	+15.5	+15.7	+15.8	+15.9	+15.7	+15.5	+15.3	+15.1	30
40	+14.5	+14.7	+14.9	+15.2	+15.5	+15.8	+15.9	+15.8	+15.7	+15.4	+15.2	+15.1	40

Meridian passages of the planets in 2046

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

Rings of Saturn in 2046

Distances from Earth to Mercury, Venus and Mars 2046

Nutation in obliquity 2046

Heliocentric positions of the planets in their orbits 2046

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

Heliocentric positions of the planets in their orbits 2046 January

Heliocentric positions of the planets in their orbits 2046 February

Heliocentric positions of the planets in their orbits 2046 March

Heliocentric positions of the planets in their orbits 2046 April

Heliocentric positions of the planets in their orbits 2046 May

Heliocentric positions of the planets in their orbits 2046 June

Heliocentric positions of the planets in their orbits 2046 July

Heliocentric positions of the planets in their orbits 2046 August

Heliocentric positions of the planets in their orbits 2046 September

Heliocentric positions of the planets in their orbits 2046 October

Heliocentric positions of the planets in their orbits 2046 November

Heliocentric positions of the planets in their orbits 2046 December

Heliocentric positions of the planets in their orbits 2046

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 +90 seconds.

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