Almanac 2081

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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 2081

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

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

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

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

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

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

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

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

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

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

December
49	1	2	3	4	5	6	7
50	8	9	10	11	12	13	14
51	15	16	17	18	19	20	21
52	22	23	24	25	26	27	28
1	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 2081

		d	h			d	h	m		d	h	m
Perigee:	Jan.	2	18	Equinoxes:	Mar.	19	22	34	Sep.	22	07	37
Apogee:	Jul.	5	22	Solstices:	Jun.	20	15	16	Dec.	21	05	22

Phases of the Moon 2081

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
												Jan.	2	08	32
Jan.	10	01	08	Jan.	18	06	29	Jan.	25	04	07	Jan.	31	20	37
Feb.	8	20	23	Feb.	16	21	59	Feb.	23	14	33	Mar.	2	11	06
Mar.	10	15	23	Mar.	18	09	27	Mar.	25	00	35	Apr.	1	03	35
Apr.	9	08	21	Apr.	16	17	31	Apr.	23	10	26	Apr.	30	21	24
May	8	22	15	May	15	23	21	May	22	20	32	May	30	15	35
Jun.	7	09	08	Jun.	14	04	16	Jun.	21	07	38	Jun.	29	09	00
Jul.	6	17	50	Jul.	13	09	34	Jul.	20	20	29	Jul.	29	00	40
Aug.	5	01	30	Aug.	11	16	33	Aug.	19	11	21	Aug.	27	14	08
Sep.	3	09	07	Sep.	10	02	21	Sep.	18	03	52	Sep.	26	01	30
Oct.	2	17	29	Oct.	9	15	58	Oct.	17	20	56	Oct.	25	11	13
Nov.	1	03	10	Nov.	8	09	40	Nov.	16	13	25	Nov.	23	19	48
Nov.	30	14	42	Dec.	8	06	38	Dec.	16	04	37	Dec.	23	03	55
Dec.	30	04	34

Apsides of the Moon 2081

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	12	23	406 192	63.685
Jan.	25	17	357 139	55.994	Feb.	9	03	406 581	63.746
Feb.	23	06	356 861	55.951	Mar.	8	06	406 360	63.711
Mar.	23	17	359 722	56.399	Apr.	4	20	405 493	63.575
Apr.	20	18	364 639	57.170	May	2	14	404 483	63.417
May	17	14	369 264	57.895	May	30	09	404 063	63.351
Jun.	11	17	368 269	57.739	Jun.	27	04	404 501	63.420
Jul.	9	01	363 442	56.982	Jul.	24	20	405 425	63.565
Aug.	6	04	359 261	56.327	Aug.	21	06	406 147	63.678
Sep.	3	13	357 252	56.012	Sep.	17	08	406 233	63.691
Oct.	2	00	358 088	56.143	Oct.	14	14	405 719	63.611
Oct.	30	08	361 738	56.715	Nov.	11	05	404 867	63.477
Nov.	27	04	367 155	57.565	Dec.	9	01	404 287	63.386
Dec.	22	11	370 263	58.052

Passages of the Moon through the nodes 2081

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	15	13	45	Jul.	24	18	51	Jan.	1	06	32	Jul.	10	22	37
Feb.	11	16	48	Aug.	20	23	59	Jan.	28	10	40	Aug.	7	04	49
Mar.	10	22	29	Sep.	17	06	18	Feb.	24	20	02	Sep.	3	14	54
Apr.	7	05	10	Oct.	14	11	51	Mar.	24	07	17	Oct.	1	01	45
May	4	10	33	Nov.	10	15	12	Apr.	20	16	01	Oct.	28	09	24
May	31	13	42	Dec.	7	16	59	May	17	19	59	Nov.	24	11	52
Jun.	27	15	46					Jun.	13	20	45	Dec.	21	12	03

Maximum declinations of the Moon 2081

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	22	17	52	+28.5	Jan.	8	08	03	−28.4
Feb.	19	03	19	+28.6	Feb.	4	13	09	−28.6
Mar.	18	10	33	+28.7	Mar.	3	19	02	−28.7
Apr.	14	16	08	+28.6	Mar.	31	02	34	−28.7
May	11	21	37	+28.4	Apr.	27	11	18	−28.5
Jun.	8	04	24	+28.3	May	24	19	52	−28.4
Jul.	5	12	52	+28.4	Jun.	21	03	07	−28.3
Aug.	1	22	17	+28.5	Jul.	18	08	56	−28.4
Aug.	29	07	14	+28.5	Aug.	14	14	12	−28.5
Sep.	25	14	30	+28.5	Sep.	10	20	08	−28.5
Oct.	22	20	03	+28.4	Oct.	8	03	36	−28.5
Nov.	19	01	18	+28.2	Nov.	4	12	33	−28.3
Dec.	16	08	02	+28.1	Dec.	1	21	50	−28.2
					Dec.	29	05	55	−28.1

Distance from the Earth to the Moon in 2081

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

Mercury 2081

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

Venus 2081

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

Mars 2081

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

Jupiter 2081

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

Saturn 2081

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

Uranus 2081

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

Neptune 2081

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

Planetary phenomena 2081

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2081

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation	Jan.	10	13	19°	−0.6	May	2	14	21°	+0.3	Aug.	30	22	27°	+0.3	Dec.	24	19	20°	−0.5
Stationary	Jan.	17	12			May	14	01			Sep.	13	08
Inferior conjunction	Jan.	26	10			May	25	12			Sep.	26	09
Stationary	Feb.	7	07			Jun.	6	22			Oct.	5	10
Greatest western elongation	Feb.	20	03	26°	+0.1	Jun.	20	00	23°	+0.5	Oct.	11	22	18°	−0.5
Superior conjunction	Apr.	6	00			Jul.	19	18			Nov.	12	09

Venus 2081

		d	h		Mag
Stationary	Feb.	13	09
Inferior conjunction	Mar.	6	07
Stationary	Mar.	27	03
Greatest western elongation	May	15	09	46°	−4.3
Superior conjunction	Dec.	19	13

Superior planets 2081

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars	Aug.	13	01
Jupiter	Feb.	22	09	Jul.	17	00	Sep.	15	02	−2.9	Nov.	12	12
Saturn	Feb.	6	04	Jun.	6	06	Aug.	16	04	+0.3	Oct.	24	13
Uranus	Jan.	25	03	May	13	17	Jul.	30	09	+5.7	Oct.	14	23
Neptune	Jul.	27	12	Nov.	9	04	Jan.	23	10	+7.8	Apr.	12	08

Planets in perihelion and in aphelion 2081

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury	Jan.	18	0.30749	46.000	Mar.	3	0.46671	69.818
	Apr.	16	0.30749	46.000	May	30	0.46670	69.818
	Jul.	13	0.30750	46.001	Aug.	26	0.46670	69.817
	Oct.	9	0.30750	46.001	Nov.	22	0.46670	69.818

Venus	Feb.	13	0.71846	107.480	Jun.	5	0.72822	108.940
	Sep.	26	0.71844	107.477

Earth	Jan.	2	0.98331	147.102	Jul.	5	1.01670	152.096

Mars					Sep.	19	1.66609	249.244

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 2081

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

Magnitudes, phases and diameters of the planets in 2081

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	0.86	5	−4.6	0.47	27	+0.7	6	−2.1	35	+0.7	16	Jan.	0
	5	−0.7	0.76	6	−4.7	0.44	28	+0.8	6	−2.1	34	+0.7	15		5
	10	−0.6	0.60	7	−4.7	0.41	30	+0.8	6	−2.0	34	+0.7	15		10
	15	0.0	0.38	8	−4.8	0.38	32	+0.9	6	−2.0	34	+0.7	15		15
	20	+1.4	0.15	9	−4.8	0.34	35	+0.9	6	−2.0	33	+0.7	15		20
	25	+4.2	0.01	10	−4.8	0.30	38	+1.0	6	−2.0	33	+0.7	15		25
	30	+3.1	0.05	10	−4.9	0.26	41	+1.0	6	−2.0	33	+0.7	15		30
Feb.	4	+1.3	0.19	9	−4.9	0.22	44	+1.1	5	−2.0	33	+0.7	15	Feb.	4
	9	+0.5	0.35	9	−4.8	0.17	47	+1.1	5	−2.0	33	+0.7	15		9
	14	+0.2	0.48	8	−4.8	0.13	51	+1.1	5	−2.0	33	+0.7	15		14
	19	+0.1	0.58	7	−4.7	0.08	55	+1.2	5	−2.0	33	+0.7	15		19
	24	0.0	0.65	7	−4.5	0.05	58	+1.2	5	−2.0	33	+0.8	15		24
Mar.	1	0.0	0.72	6	−4.3	0.02	60	+1.3	5	−2.0	33	+0.8	15	Mar.	1
	6	−0.1	0.77	6	−4.2	0.01	61	+1.3	5	−2.0	33	+0.8	15		6
	11	−0.2	0.82	6	−4.3	0.02	60	+1.3	5	−2.0	33	+0.8	15		11
	16	−0.4	0.86	5	−4.4	0.04	58	+1.4	5	−2.0	33	+0.8	16		16
	21	−0.6	0.90	5	−4.6	0.08	54	+1.4	5	−2.0	33	+0.8	16		21
	26	−0.9	0.94	5	−4.7	0.12	51	+1.4	4	−2.0	33	+0.9	16		26
	31	−1.3	0.98	5	−4.7	0.17	47	+1.5	4	−2.0	34	+0.9	16		31
Apr.	5	−1.9	1.00	5	−4.8	0.21	43	+1.5	4	−2.1	34	+0.9	16	Apr.	5
	10	−1.8	0.99	5	−4.7	0.25	40	+1.5	4	−2.1	34	+0.9	16		10
	15	−1.4	0.91	5	−4.7	0.30	37	+1.6	4	−2.1	34	+0.9	16		15
	20	−1.0	0.78	6	−4.7	0.33	34	+1.6	4	−2.1	35	+0.9	16		20
	25	−0.6	0.62	7	−4.6	0.37	32	+1.6	4	−2.1	35	+0.9	16		25
	30	0.0	0.45	7	−4.6	0.40	29	+1.6	4	−2.1	35	+0.9	16		30
May	5	+0.7	0.31	8	−4.5	0.44	27	+1.6	4	−2.2	36	+0.8	17	May	5
	10	+1.5	0.19	10	−4.5	0.47	26	+1.7	4	−2.2	36	+0.8	17		10
	15	+2.6	0.09	11	−4.4	0.49	24	+1.7	4	−2.2	37	+0.8	17		15
	20	+4.1	0.03	12	−4.4	0.52	23	+1.7	4	−2.2	37	+0.8	17		20
	25	…	0.00	12	−4.3	0.54	22	+1.7	4	−2.3	38	+0.8	17		25
	30	+4.4	0.02	12	−4.3	0.57	21	+1.7	4	−2.3	38	+0.8	17		30
Jun.	4	+2.9	0.07	11	−4.3	0.59	20	+1.7	4	−2.3	39	+0.7	17	Jun.	4
	9	+1.9	0.15	10	−4.2	0.61	19	+1.7	4	−2.4	39	+0.7	18		9
	14	+1.2	0.24	9	−4.2	0.63	18	+1.7	4	−2.4	40	+0.7	18		14
	19	+0.6	0.35	8	−4.1	0.65	17	+1.8	4	−2.4	41	+0.7	18		19
	24	+0.2	0.46	7	−4.1	0.67	17	+1.8	4	−2.5	41	+0.6	18		24
	29	−0.3	0.59	7	−4.1	0.69	16	+1.8	4	−2.5	42	+0.6	18		29
Jul.	4	−0.7	0.72	6	−4.1	0.71	16	+1.8	4	−2.5	43	+0.6	18	Jul.	4
	9	−1.2	0.86	6	−4.0	0.73	15	+1.8	4	−2.6	43	+0.5	18		9
	14	−1.7	0.96	5	−4.0	0.75	15	+1.8	4	−2.6	44	+0.5	18		14
	19	−2.1	1.00	5	−4.0	0.76	14	+1.8	4	−2.6	45	+0.5	19		19
	24	−1.6	0.98	5	−4.0	0.78	14	+1.8	4	−2.7	45	+0.4	19		24
	29	−1.1	0.94	5	−4.0	0.79	13	+1.7	4	−2.7	46	+0.4	19		29
Aug.	3	−0.7	0.88	5	−3.9	0.81	13	+1.7	4	−2.7	47	+0.4	19	Aug.	3
	8	−0.4	0.82	5	−3.9	0.82	13	+1.7	4	−2.8	47	+0.3	19		8
	13	−0.2	0.77	6	−3.9	0.84	13	+1.7	4	−2.8	48	+0.3	19		13
	18	0.0	0.71	6	−3.9	0.85	12	+1.7	4	−2.8	48	+0.3	19		18
	23	+0.1	0.65	6	−3.9	0.86	12	+1.7	4	−2.9	49	+0.3	19		23
	28	+0.2	0.58	7	−3.9	0.87	12	+1.8	4	−2.9	49	+0.3	19		28
Sep.	2	+0.3	0.51	7	−3.9	0.88	12	+1.8	4	−2.9	49	+0.3	19	Sep.	2
	7	+0.5	0.41	8	−3.9	0.90	11	+1.8	4	−2.9	50	+0.4	19		7
	12	+0.9	0.30	9	−3.9	0.91	11	+1.8	4	−2.9	50	+0.4	19		12
	17	+1.6	0.17	10	−3.9	0.92	11	+1.8	4	−2.9	50	+0.4	19		17
	22	+3.2	0.05	10	−3.9	0.92	11	+1.8	4	−2.9	50	+0.4	18		22
	27	…	0.01	10	−3.9	0.93	11	+1.8	4	−2.9	49	+0.5	18		27
Oct.	2	+2.3	0.09	9	−3.9	0.94	11	+1.8	4	−2.9	49	+0.5	18	Oct.	2
	7	+0.4	0.29	8	−3.9	0.95	11	+1.8	4	−2.9	49	+0.5	18		7
	12	−0.5	0.53	7	−3.9	0.96	10	+1.8	4	−2.8	48	+0.5	18		12
	17	−0.9	0.73	6	−3.9	0.96	10	+1.8	4	−2.8	48	+0.6	18		17
	22	−1.0	0.86	6	−3.9	0.97	10	+1.8	4	−2.8	47	+0.6	18		22
	27	−1.0	0.94	5	−3.9	0.97	10	+1.8	4	−2.8	47	+0.6	18		27
Nov.	1	−1.1	0.98	5	−3.9	0.98	10	+1.8	4	−2.7	46	+0.6	17	Nov.	1
	6	−1.2	0.99	5	−3.9	0.98	10	+1.8	4	−2.7	45	+0.7	17		6
	11	…	1.00	5	−3.9	0.99	10	+1.8	4	−2.7	45	+0.7	17		11
	16	−1.1	1.00	5	−3.9	0.99	10	+1.8	4	−2.6	44	+0.7	17		16
	21	−0.9	0.99	5	−3.9	0.99	10	+1.7	4	−2.6	43	+0.7	17		21
	26	−0.7	0.98	5	−3.9	1.00	10	+1.7	4	−2.5	43	+0.7	17		26
Dec.	1	−0.7	0.96	5	−3.9	1.00	10	+1.7	4	−2.5	42	+0.8	17	Dec.	1
	6	−0.6	0.93	5	−3.9	1.00	10	+1.7	4	−2.5	41	+0.8	16		6
	11	−0.6	0.89	5	−3.9	1.00	10	+1.7	4	−2.4	41	+0.8	16		11
	16	−0.6	0.82	6	…	1.00	10	+1.6	4	−2.4	40	+0.8	16		16
	21	−0.6	0.72	6	…	1.00	10	+1.6	4	−2.4	39	+0.8	16		21
	26	−0.4	0.56	7	−3.9	1.00	10	+1.6	4	−2.3	39	+0.8	16		26
	31	+0.1	0.35	8	−3.9	1.00	10	+1.5	5	−2.3	38	+0.8	16		31
	36	+1.8	0.12	9	−3.9	1.00	10	+1.5	5	−2.3	38	+0.8	16		36

Declinations of the Sun, Moon and planets in 2081

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

Declinations of the Sun and planets in 2081

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

Declination of the Sun in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.0	−17.3	−7.8	+4.3	+14.9	+22.0	+23.1	+18.1	+8.5	−3.0	−14.3	−21.7	0
1	−23.0	−17.0	−7.4	+4.7	+15.2	+22.1	+23.1	+17.9	+8.1	−3.4	−14.6	−21.9	1
2	−22.9	−16.7	−7.0	+5.1	+15.5	+22.2	+23.0	+17.6	+7.7	−3.8	−14.9	−22.0	2
3	−22.8	−16.4	−6.6	+5.5	+15.8	+22.4	+22.9	+17.4	+7.4	−4.1	−15.2	−22.2	3
4	−22.7	−16.1	−6.3	+5.9	+16.1	+22.5	+22.8	+17.1	+7.0	−4.5	−15.5	−22.3	4
5	−22.6	−15.8	−5.9	+6.3	+16.4	+22.6	+22.7	+16.8	+6.6	−4.9	−15.8	−22.4	5
6	−22.4	−15.5	−5.5	+6.6	+16.7	+22.7	+22.6	+16.5	+6.2	−5.3	−16.1	−22.5	6
7	−22.3	−15.2	−5.1	+7.0	+16.9	+22.8	+22.5	+16.3	+5.9	−5.7	−16.4	−22.6	7
8	−22.2	−14.8	−4.7	+7.4	+17.2	+22.9	+22.4	+16.0	+5.5	−6.1	−16.7	−22.8	8
9	−22.0	−14.5	−4.3	+7.8	+17.5	+23.0	+22.3	+15.7	+5.1	−6.4	−17.0	−22.9	9
10	−21.9	−14.2	−3.9	+8.1	+17.7	+23.0	+22.2	+15.4	+4.7	−6.8	−17.3	−22.9	10
11	−21.7	−13.9	−3.5	+8.5	+18.0	+23.1	+22.0	+15.1	+4.4	−7.2	−17.5	−23.0	11
12	−21.6	−13.5	−3.1	+8.9	+18.3	+23.2	+21.9	+14.8	+4.0	−7.6	−17.8	−23.1	12
13	−21.4	−13.2	−2.7	+9.2	+18.5	+23.2	+21.7	+14.5	+3.6	−7.9	−18.1	−23.2	13
14	−21.2	−12.9	−2.3	+9.6	+18.7	+23.3	+21.6	+14.2	+3.2	−8.3	−18.3	−23.2	14
15	−21.0	−12.5	−2.0	+9.9	+19.0	+23.3	+21.4	+13.9	+2.8	−8.7	−18.6	−23.3	15
16	−20.8	−12.2	−1.6	+10.3	+19.2	+23.4	+21.3	+13.6	+2.4	−9.1	−18.8	−23.3	16
17	−20.6	−11.8	−1.2	+10.6	+19.4	+23.4	+21.1	+13.2	+2.1	−9.4	−19.1	−23.4	17
18	−20.4	−11.5	−0.8	+11.0	+19.7	+23.4	+20.9	+12.9	+1.7	−9.8	−19.3	−23.4	18
19	−20.2	−11.1	−0.4	+11.3	+19.9	+23.4	+20.7	+12.6	+1.3	−10.1	−19.6	−23.4	19
20	−20.0	−10.8	0.0	+11.7	+20.1	+23.4	+20.6	+12.3	+0.9	−10.5	−19.8	−23.4	20
21	−19.8	−10.4	+0.4	+12.0	+20.3	+23.4	+20.4	+11.9	+0.5	−10.9	−20.0	−23.4	21
22	−19.6	−10.0	+0.8	+12.4	+20.5	+23.4	+20.2	+11.6	+0.1	−11.2	−20.2	−23.4	22
23	−19.3	−9.7	+1.2	+12.7	+20.7	+23.4	+20.0	+11.3	−0.3	−11.6	−20.4	−23.4	23
24	−19.1	−9.3	+1.6	+13.0	+20.9	+23.4	+19.7	+10.9	−0.7	−11.9	−20.6	−23.4	24
25	−18.8	−8.9	+2.0	+13.3	+21.0	+23.4	+19.5	+10.6	−1.0	−12.3	−20.8	−23.4	25
26	−18.6	−8.5	+2.4	+13.7	+21.2	+23.3	+19.3	+10.2	−1.4	−12.6	−21.0	−23.3	26
27	−18.3	−8.2	+2.8	+14.0	+21.4	+23.3	+19.1	+9.9	−1.8	−12.9	−21.2	−23.3	27
28	−18.1	−7.8	+3.2	+14.3	+21.5	+23.2	+18.9	+9.5	−2.2	−13.3	−21.4	−23.3	28
29	−17.8	−7.4	+3.6	+14.6	+21.7	+23.2	+18.6	+9.2	−2.6	−13.6	−21.5	−23.2	29
30	−17.5	−7.0	+3.9	+14.9	+21.8	+23.1	+18.4	+8.8	−3.0	−13.9	−21.7	−23.1	30
31	−17.3	−6.6	+4.3	+15.2	+22.0	+23.1	+18.1	+8.5	−3.4	−14.3	−21.9	−23.1	31
32	−17.0	−6.3	+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 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+9.4	−14.7	−18.4	−28.7	−24.0	−6.8	+8.4	+25.4	+26.0	+13.1	−11.8	−25.0	0
1	+2.8	−19.9	−23.0	−28.1	−20.3	−1.2	+13.8	+27.7	+22.1	+6.3	−17.9	−27.5	1
2	−3.9	−24.0	−26.4	−26.1	−15.7	+4.5	+18.8	+28.5	+16.7	−0.9	−22.9	−28.2	2
3	−10.2	−26.9	−28.2	−23.1	−10.7	+10.2	+23.1	+27.4	+10.2	−8.0	−26.3	−27.2	3
4	−15.9	−28.4	−28.7	−19.1	−5.2	+15.5	+26.3	+24.4	+3.1	−14.7	−28.1	−24.7	4
5	−20.8	−28.4	−27.7	−14.3	+0.5	+20.4	+28.1	+19.8	−4.2	−20.3	−28.1	−21.1	5
6	−24.6	−27.1	−25.4	−9.1	+6.3	+24.4	+28.2	+13.9	−11.1	−24.7	−26.6	−16.6	6
7	−27.2	−24.6	−22.0	−3.5	+11.9	+27.2	+26.3	+7.1	−17.2	−27.4	−23.7	−11.6	7
8	−28.4	−21.0	−17.8	+2.3	+17.2	+28.3	+22.7	0.0	−22.3	−28.5	−19.8	−6.2	8
9	−28.1	−16.6	−12.9	+8.1	+21.9	+27.7	+17.6	−6.9	−25.9	−27.9	−15.2	−0.6	9
10	−26.5	−11.6	−7.6	+13.6	+25.5	+25.3	+11.5	−13.4	−28.0	−25.9	−10.0	+5.0	10
11	−23.7	−6.1	−1.9	+18.7	+27.8	+21.3	+4.8	−19.0	−28.6	−22.7	−4.6	+10.4	11
12	−19.9	−0.5	+3.9	+23.1	+28.5	+16.0	−2.0	−23.5	−27.6	−18.6	+1.0	+15.6	12
13	−15.4	+5.3	+9.6	+26.3	+27.4	+9.9	−8.7	−26.6	−25.2	−13.9	+6.6	+20.2	13
14	−10.3	+10.9	+15.0	+28.2	+24.6	+3.3	−14.7	−28.3	−21.8	−8.6	+12.0	+24.0	14
15	−4.8	+16.2	+19.9	+28.5	+20.3	−3.4	−20.0	−28.4	−17.5	−3.1	+17.1	+26.8	15
16	+0.9	+20.9	+24.0	+27.1	+14.9	−9.9	−24.2	−27.1	−12.6	+2.6	+21.5	+28.1	16
17	+6.6	+24.8	+27.0	+23.9	+8.7	−15.8	−27.0	−24.5	−7.2	+8.2	+25.1	+27.8	17
18	+12.2	+27.5	+28.5	+19.3	+2.0	−20.9	−28.3	−20.8	−1.6	+13.5	+27.4	+25.8	18
19	+17.4	+28.6	+28.4	+13.6	−4.8	−24.8	−28.1	−16.3	+4.1	+18.4	+28.2	+22.2	19
20	+22.1	+27.9	+26.5	+7.0	−11.3	−27.4	−26.5	−11.2	+9.6	+22.7	+27.5	+17.3	20
21	+25.7	+25.3	+22.8	+0.1	−17.2	−28.4	−23.6	−5.8	+14.9	+25.9	+25.1	+11.5	21
22	+28.0	+20.9	+17.7	−6.8	−22.1	−27.8	−19.7	−0.2	+19.6	+27.9	+21.3	+5.1	22
23	+28.5	+15.0	+11.4	−13.4	−25.7	−25.8	−15.0	+5.5	+23.6	+28.4	+16.3	−1.6	23
24	+26.9	+8.2	+4.4	−19.1	−27.9	−22.6	−9.8	+11.0	+26.6	+27.3	+10.4	−8.1	24
25	+23.3	+1.1	−2.8	−23.7	−28.4	−18.4	−4.3	+16.1	+28.3	+24.6	+3.9	−14.3	25
26	+18.2	−6.0	−9.7	−26.8	−27.3	−13.6	+1.3	+20.7	+28.4	+20.5	−2.9	−19.7	26
27	+11.9	−12.6	−16.0	−28.4	−24.9	−8.4	+6.9	+24.5	+26.9	+15.1	−9.5	−24.0	27
28	+5.0	−18.4	−21.3	−28.3	−21.5	−2.8	+12.3	+27.2	+23.7	+8.9	−15.7	−26.9	28
29	−2.0	−23.0	−25.3	−26.8	−17.1	+2.8	+17.4	+28.5	+19.0	+2.0	−21.0	−28.1	29
30	−8.6	−26.4	−27.8	−24.0	−12.2	+8.4	+21.8	+28.1	+13.1	−5.0	−25.0	−27.7	30
31	−14.7	−28.2	−28.7	−20.3	−6.8	+13.8	+25.4	+26.0	+6.3	−11.8	−27.5	−25.7	31
32	−19.9	−28.7	−28.1	−15.7	−1.2	+18.8	+27.7	+22.1	−0.9	−17.9	−28.2	−22.4	32

Declination of Mercury in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.0	−16.3	−17.4	+0.4	+22.9	+17.6	+21.2	+16.2	−4.3	−1.5	−10.4	−24.7	0
1	−22.7	−16.6	−17.1	+1.2	+23.1	+17.3	+21.6	+15.6	−4.8	−0.9	−11.1	−24.9	1
2	−22.3	−16.8	−16.8	+2.1	+23.4	+17.1	+21.9	+14.9	−5.3	−0.3	−11.7	−25.1	2
3	−21.9	−17.1	−16.5	+3.0	+23.5	+16.9	+22.1	+14.2	−5.8	+0.2	−12.4	−25.2	3
4	−21.5	−17.3	−16.2	+3.9	+23.7	+16.7	+22.4	+13.5	−6.2	+0.6	−13.0	−25.3	4
5	−21.0	−17.5	−15.8	+4.8	+23.8	+16.5	+22.7	+12.8	−6.6	+0.9	−13.7	−25.5	5
6	−20.6	−17.8	−15.5	+5.8	+23.9	+16.4	+22.9	+12.1	−7.0	+1.2	−14.3	−25.5	6
7	−20.1	−18.0	−15.1	+6.7	+23.9	+16.3	+23.1	+11.4	−7.4	+1.4	−14.9	−25.6	7
8	−19.7	−18.1	−14.7	+7.6	+23.9	+16.3	+23.3	+10.7	−7.7	+1.4	−15.5	−25.7	8
9	−19.2	−18.3	−14.2	+8.5	+23.9	+16.3	+23.4	+10.0	−8.0	+1.4	−16.1	−25.7	9
10	−18.7	−18.4	−13.8	+9.5	+23.8	+16.3	+23.5	+9.3	−8.2	+1.3	−16.7	−25.7	10
11	−18.2	−18.6	−13.3	+10.4	+23.8	+16.3	+23.5	+8.6	−8.4	+1.2	−17.2	−25.6	11
12	−17.8	−18.7	−12.8	+11.3	+23.6	+16.4	+23.5	+7.9	−8.6	+0.9	−17.8	−25.6	12
13	−17.3	−18.7	−12.3	+12.2	+23.5	+16.5	+23.5	+7.2	−8.7	+0.6	−18.3	−25.5	13
14	−16.9	−18.8	−11.7	+13.1	+23.3	+16.7	+23.4	+6.5	−8.7	+0.2	−18.8	−25.4	14
15	−16.5	−18.8	−11.2	+13.9	+23.1	+16.8	+23.3	+5.8	−8.7	−0.2	−19.3	−25.3	15
16	−16.1	−18.9	−10.6	+14.8	+22.8	+17.0	+23.2	+5.1	−8.6	−0.7	−19.8	−25.1	16
17	−15.8	−18.9	−10.0	+15.6	+22.5	+17.2	+22.9	+4.4	−8.5	−1.2	−20.3	−24.9	17
18	−15.5	−18.8	−9.4	+16.4	+22.2	+17.5	+22.7	+3.7	−8.3	−1.8	−20.7	−24.7	18
19	−15.2	−18.8	−8.7	+17.1	+21.9	+17.7	+22.4	+3.0	−8.0	−2.3	−21.1	−24.5	19
20	−15.0	−18.7	−8.1	+17.9	+21.6	+18.0	+22.0	+2.3	−7.7	−3.0	−21.6	−24.3	20
21	−14.9	−18.6	−7.4	+18.5	+21.2	+18.3	+21.7	+1.7	−7.2	−3.6	−22.0	−24.0	21
22	−14.9	−18.5	−6.7	+19.2	+20.9	+18.6	+21.2	+1.0	−6.8	−4.2	−22.3	−23.7	22
23	−14.9	−18.4	−6.0	+19.8	+20.5	+18.9	+20.8	+0.4	−6.2	−4.9	−22.7	−23.4	23
24	−14.9	−18.2	−5.2	+20.4	+20.1	+19.2	+20.3	−0.3	−5.6	−5.6	−23.0	−23.1	24
25	−15.0	−18.0	−4.5	+20.9	+19.7	+19.6	+19.8	−0.9	−5.0	−6.3	−23.4	−22.8	25
26	−15.2	−17.8	−3.7	+21.4	+19.3	+19.9	+19.2	−1.5	−4.3	−7.0	−23.7	−22.4	26
27	−15.3	−17.6	−2.9	+21.8	+19.0	+20.2	+18.7	−2.1	−3.6	−7.7	−24.0	−22.1	27
28	−15.6	−17.4	−2.1	+22.2	+18.6	+20.6	+18.1	−2.7	−2.9	−8.3	−24.2	−21.8	28
29	−15.8	−17.1	−1.3	+22.5	+18.3	+20.9	+17.5	−3.2	−2.2	−9.0	−24.5	−21.4	29
30	−16.0	−16.8	−0.5	+22.9	+17.9	+21.2	+16.9	−3.8	−1.5	−9.7	−24.7	−21.1	30
31	−16.3	−16.5	+0.4	+23.1	+17.6	+21.6	+16.2	−4.3	−0.9	−10.4	−24.9	−20.8	31
32	−16.6	−16.2	+1.2	+23.4	+17.3	+21.9	+15.6	−4.8	−0.3	−11.1	−25.1	−20.5	32

Declination of Venus in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−13.5	−0.5	+3.9	−3.4	−1.6	+7.7	+17.4	+22.2	+17.9	+6.2	−8.8	−20.4	0
1	−13.0	−0.1	+3.8	−3.5	−1.4	+8.0	+17.7	+22.2	+17.6	+5.8	−9.2	−20.7	1
2	−12.6	+0.2	+3.7	−3.6	−1.2	+8.4	+17.9	+22.2	+17.3	+5.3	−9.7	−20.9	2
3	−12.2	+0.6	+3.5	−3.7	−1.0	+8.7	+18.2	+22.2	+17.0	+4.8	−10.2	−21.2	3
4	−11.8	+0.9	+3.3	−3.8	−0.7	+9.1	+18.4	+22.2	+16.7	+4.3	−10.6	−21.4	4
5	−11.3	+1.2	+3.1	−3.9	−0.5	+9.4	+18.7	+22.2	+16.4	+3.9	−11.1	−21.6	5
6	−10.9	+1.5	+2.8	−3.9	−0.2	+9.7	+18.9	+22.1	+16.0	+3.4	−11.5	−21.9	6
7	−10.5	+1.8	+2.6	−4.0	+0.1	+10.1	+19.1	+22.1	+15.7	+2.9	−12.0	−22.1	7
8	−10.0	+2.1	+2.3	−4.0	+0.3	+10.4	+19.4	+22.0	+15.4	+2.4	−12.4	−22.3	8
9	−9.6	+2.4	+2.1	−4.0	+0.6	+10.8	+19.6	+22.0	+15.0	+1.9	−12.8	−22.4	9
10	−9.2	+2.6	+1.8	−4.0	+0.9	+11.1	+19.8	+21.9	+14.6	+1.4	−13.3	−22.6	10
11	−8.7	+2.9	+1.5	−4.0	+1.2	+11.5	+20.0	+21.8	+14.3	+0.9	−13.7	−22.8	11
12	−8.3	+3.1	+1.2	−4.0	+1.5	+11.8	+20.2	+21.7	+13.9	+0.5	−14.1	−22.9	12
13	−7.8	+3.3	+0.9	−3.9	+1.8	+12.1	+20.4	+21.6	+13.5	0.0	−14.5	−23.1	13
14	−7.4	+3.5	+0.6	−3.9	+2.1	+12.5	+20.5	+21.5	+13.1	−0.5	−14.9	−23.2	14
15	−7.0	+3.6	+0.3	−3.8	+2.4	+12.8	+20.7	+21.3	+12.7	−1.0	−15.3	−23.3	15
16	−6.5	+3.8	+0.1	−3.8	+2.7	+13.1	+20.9	+21.2	+12.3	−1.5	−15.7	−23.4	16
17	−6.1	+3.9	−0.2	−3.7	+3.0	+13.5	+21.0	+21.0	+11.9	−2.0	−16.1	−23.5	17
18	−5.7	+4.0	−0.5	−3.6	+3.3	+13.8	+21.2	+20.9	+11.5	−2.5	−16.5	−23.6	18
19	−5.3	+4.1	−0.8	−3.5	+3.6	+14.1	+21.3	+20.7	+11.1	−3.0	−16.8	−23.7	19
20	−4.8	+4.2	−1.1	−3.4	+3.9	+14.4	+21.4	+20.5	+10.7	−3.5	−17.2	−23.7	20
21	−4.4	+4.3	−1.3	−3.2	+4.3	+14.7	+21.5	+20.3	+10.3	−4.0	−17.6	−23.8	21
22	−4.0	+4.3	−1.6	−3.1	+4.6	+15.1	+21.7	+20.1	+9.8	−4.5	−17.9	−23.8	22
23	−3.6	+4.3	−1.8	−2.9	+4.9	+15.4	+21.8	+19.9	+9.4	−4.9	−18.3	−23.8	23
24	−3.2	+4.3	−2.1	−2.8	+5.3	+15.7	+21.8	+19.7	+9.0	−5.4	−18.6	−23.8	24
25	−2.8	+4.2	−2.3	−2.6	+5.6	+16.0	+21.9	+19.5	+8.5	−5.9	−18.9	−23.8	25
26	−2.4	+4.2	−2.5	−2.4	+5.9	+16.3	+22.0	+19.2	+8.1	−6.4	−19.2	−23.8	26
27	−2.0	+4.1	−2.7	−2.2	+6.3	+16.6	+22.1	+19.0	+7.6	−6.9	−19.5	−23.8	27
28	−1.6	+3.9	−2.9	−2.1	+6.6	+16.8	+22.1	+18.7	+7.1	−7.4	−19.8	−23.7	28
29	−1.2	+3.8	−3.1	−1.9	+7.0	+17.1	+22.2	+18.5	+6.7	−7.8	−20.1	−23.7	29
30	−0.8	+3.7	−3.2	−1.6	+7.3	+17.4	+22.2	+18.2	+6.2	−8.3	−20.4	−23.6	30
31	−0.5	+3.5	−3.4	−1.4	+7.7	+17.7	+22.2	+17.9	+5.8	−8.8	−20.7	−23.5	31
32	−0.1	+3.3	−3.5	−1.2	+8.0	+17.9	+22.2	+17.6	+5.3	−9.2	−20.9	−23.4	32

Declination of Mars in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−5.4	+4.1	+11.9	+18.9	+23.1	+24.4	+22.6	+18.1	+11.7	+4.4	−3.6	−10.9	0
1	−5.1	+4.3	+12.2	+19.1	+23.2	+24.4	+22.5	+17.9	+11.4	+4.1	−3.8	−11.1	1
2	−4.8	+4.6	+12.4	+19.3	+23.3	+24.4	+22.4	+17.7	+11.2	+3.9	−4.1	−11.3	2
3	−4.5	+4.9	+12.7	+19.5	+23.4	+24.3	+22.3	+17.5	+11.0	+3.6	−4.3	−11.5	3
4	−4.2	+5.2	+12.9	+19.6	+23.5	+24.3	+22.1	+17.4	+10.7	+3.3	−4.6	−11.8	4
5	−3.9	+5.5	+13.2	+19.8	+23.6	+24.3	+22.0	+17.2	+10.5	+3.1	−4.8	−12.0	5
6	−3.5	+5.8	+13.4	+20.0	+23.6	+24.3	+21.9	+17.0	+10.3	+2.8	−5.1	−12.2	6
7	−3.2	+6.1	+13.7	+20.1	+23.7	+24.2	+21.8	+16.8	+10.0	+2.6	−5.3	−12.4	7
8	−2.9	+6.4	+13.9	+20.3	+23.8	+24.2	+21.7	+16.6	+9.8	+2.3	−5.6	−12.7	8
9	−2.6	+6.7	+14.2	+20.5	+23.8	+24.2	+21.5	+16.4	+9.6	+2.1	−5.8	−12.9	9
10	−2.3	+7.0	+14.4	+20.6	+23.9	+24.1	+21.4	+16.2	+9.3	+1.8	−6.1	−13.1	10
11	−2.0	+7.3	+14.7	+20.8	+24.0	+24.1	+21.3	+16.0	+9.1	+1.6	−6.3	−13.3	11
12	−1.7	+7.6	+14.9	+20.9	+24.0	+24.0	+21.1	+15.8	+8.8	+1.3	−6.6	−13.5	12
13	−1.4	+7.8	+15.1	+21.1	+24.1	+24.0	+21.0	+15.6	+8.6	+1.0	−6.8	−13.7	13
14	−1.1	+8.1	+15.4	+21.2	+24.1	+23.9	+20.8	+15.4	+8.3	+0.8	−7.1	−13.9	14
15	−0.8	+8.4	+15.6	+21.4	+24.2	+23.8	+20.7	+15.2	+8.1	+0.5	−7.3	−14.2	15
16	−0.5	+8.7	+15.8	+21.5	+24.2	+23.8	+20.6	+15.0	+7.9	+0.3	−7.5	−14.4	16
17	−0.2	+9.0	+16.0	+21.7	+24.2	+23.7	+20.4	+14.8	+7.6	0.0	−7.8	−14.6	17
18	+0.1	+9.2	+16.3	+21.8	+24.3	+23.6	+20.3	+14.5	+7.4	−0.2	−8.0	−14.8	18
19	+0.4	+9.5	+16.5	+21.9	+24.3	+23.6	+20.1	+14.3	+7.1	−0.5	−8.3	−15.0	19
20	+0.7	+9.8	+16.7	+22.0	+24.3	+23.5	+19.9	+14.1	+6.9	−0.8	−8.5	−15.2	20
21	+1.0	+10.1	+16.9	+22.2	+24.3	+23.4	+19.8	+13.9	+6.6	−1.0	−8.8	−15.4	21
22	+1.3	+10.3	+17.1	+22.3	+24.4	+23.3	+19.6	+13.7	+6.4	−1.3	−9.0	−15.6	22
23	+1.6	+10.6	+17.3	+22.4	+24.4	+23.3	+19.5	+13.5	+6.1	−1.5	−9.2	−15.8	23
24	+2.0	+10.9	+17.5	+22.5	+24.4	+23.2	+19.3	+13.2	+5.9	−1.8	−9.5	−16.0	24
25	+2.3	+11.1	+17.7	+22.6	+24.4	+23.1	+19.1	+13.0	+5.6	−2.0	−9.7	−16.2	25
26	+2.6	+11.4	+17.9	+22.7	+24.4	+23.0	+19.0	+12.8	+5.4	−2.3	−9.9	−16.3	26
27	+2.9	+11.7	+18.1	+22.9	+24.4	+22.9	+18.8	+12.6	+5.1	−2.5	−10.2	−16.5	27
28	+3.2	+11.9	+18.3	+23.0	+24.4	+22.8	+18.6	+12.3	+4.9	−2.8	−10.4	−16.7	28
29	+3.5	+12.2	+18.5	+23.0	+24.4	+22.7	+18.4	+12.1	+4.6	−3.0	−10.6	−16.9	29
30	+3.8	+12.4	+18.7	+23.1	+24.4	+22.6	+18.3	+11.9	+4.4	−3.3	−10.9	−17.1	30
31	+4.1	+12.7	+18.9	+23.2	+24.4	+22.5	+18.1	+11.7	+4.1	−3.6	−11.1	−17.3	31
32	+4.3	+12.9	+19.1	+23.3	+24.4	+22.4	+17.9	+11.4	+3.9	−3.8	−11.3	−17.4	32

Declination of Jupiter in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−14.9	−12.6	−10.2	−7.5	−5.1	−3.2	−2.1	−2.2	−3.4	−5.0	−5.9	−5.7	0
1	−14.9	−12.5	−10.1	−7.4	−5.0	−3.1	−2.1	−2.2	−3.5	−5.0	−6.0	−5.7	1
2	−14.8	−12.4	−10.0	−7.3	−4.9	−3.1	−2.1	−2.3	−3.5	−5.1	−6.0	−5.7	2
3	−14.7	−12.3	−9.9	−7.2	−4.9	−3.0	−2.1	−2.3	−3.6	−5.1	−6.0	−5.7	3
4	−14.7	−12.3	−9.8	−7.1	−4.8	−3.0	−2.1	−2.3	−3.6	−5.1	−6.0	−5.6	4
5	−14.6	−12.2	−9.8	−7.1	−4.7	−2.9	−2.1	−2.3	−3.7	−5.2	−6.0	−5.6	5
6	−14.5	−12.1	−9.7	−7.0	−4.7	−2.9	−2.1	−2.4	−3.7	−5.2	−6.0	−5.6	6
7	−14.4	−12.0	−9.6	−6.9	−4.6	−2.8	−2.0	−2.4	−3.8	−5.3	−6.0	−5.5	7
8	−14.4	−11.9	−9.5	−6.8	−4.5	−2.8	−2.0	−2.4	−3.8	−5.3	−6.0	−5.5	8
9	−14.3	−11.8	−9.4	−6.7	−4.5	−2.7	−2.0	−2.5	−3.9	−5.4	−6.0	−5.4	9
10	−14.2	−11.7	−9.3	−6.7	−4.4	−2.7	−2.0	−2.5	−3.9	−5.4	−6.0	−5.4	10
11	−14.1	−11.7	−9.2	−6.6	−4.3	−2.7	−2.0	−2.5	−4.0	−5.4	−6.0	−5.4	11
12	−14.1	−11.6	−9.1	−6.5	−4.3	−2.6	−2.0	−2.6	−4.0	−5.5	−6.0	−5.3	12
13	−14.0	−11.5	−9.0	−6.4	−4.2	−2.6	−2.0	−2.6	−4.1	−5.5	−6.0	−5.3	13
14	−13.9	−11.4	−9.0	−6.3	−4.1	−2.6	−2.0	−2.6	−4.1	−5.5	−6.0	−5.2	14
15	−13.8	−11.3	−8.9	−6.2	−4.1	−2.5	−2.0	−2.7	−4.2	−5.6	−6.0	−5.2	15
16	−13.8	−11.2	−8.8	−6.2	−4.0	−2.5	−2.0	−2.7	−4.2	−5.6	−6.0	−5.2	16
17	−13.7	−11.1	−8.7	−6.1	−3.9	−2.5	−2.0	−2.8	−4.3	−5.6	−6.0	−5.1	17
18	−13.6	−11.1	−8.6	−6.0	−3.9	−2.4	−2.0	−2.8	−4.4	−5.7	−6.0	−5.1	18
19	−13.5	−11.0	−8.5	−5.9	−3.8	−2.4	−2.0	−2.8	−4.4	−5.7	−6.0	−5.0	19
20	−13.5	−10.9	−8.4	−5.8	−3.8	−2.4	−2.0	−2.9	−4.5	−5.7	−5.9	−5.0	20
21	−13.4	−10.8	−8.3	−5.8	−3.7	−2.3	−2.1	−2.9	−4.5	−5.7	−5.9	−4.9	21
22	−13.3	−10.7	−8.3	−5.7	−3.6	−2.3	−2.1	−3.0	−4.6	−5.8	−5.9	−4.9	22
23	−13.2	−10.6	−8.2	−5.6	−3.6	−2.3	−2.1	−3.0	−4.6	−5.8	−5.9	−4.8	23
24	−13.1	−10.5	−8.1	−5.5	−3.5	−2.3	−2.1	−3.1	−4.7	−5.8	−5.9	−4.8	24
25	−13.1	−10.5	−8.0	−5.5	−3.5	−2.2	−2.1	−3.1	−4.7	−5.8	−5.9	−4.7	25
26	−13.0	−10.4	−7.9	−5.4	−3.4	−2.2	−2.1	−3.2	−4.8	−5.9	−5.8	−4.6	26
27	−12.9	−10.3	−7.8	−5.3	−3.4	−2.2	−2.1	−3.2	−4.8	−5.9	−5.8	−4.6	27
28	−12.8	−10.2	−7.7	−5.2	−3.3	−2.2	−2.2	−3.3	−4.9	−5.9	−5.8	−4.5	28
29	−12.7	−10.1	−7.7	−5.2	−3.3	−2.1	−2.2	−3.3	−4.9	−5.9	−5.8	−4.5	29
30	−12.7	−10.0	−7.6	−5.1	−3.2	−2.1	−2.2	−3.4	−5.0	−5.9	−5.7	−4.4	30
31	−12.6	−9.9	−7.5	−5.0	−3.2	−2.1	−2.2	−3.4	−5.0	−5.9	−5.7	−4.4	31
32	−12.5	−9.8	−7.4	−4.9	−3.1	−2.1	−2.2	−3.5	−5.1	−6.0	−5.7	−4.3	32

Declination of Saturn in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−17.5	−16.5	−15.5	−14.5	−13.8	−13.5	−13.7	−14.4	−15.2	−15.7	−15.9	−15.5	0
10	−17.2	−16.1	−15.1	−14.2	−13.6	−13.5	−13.9	−14.6	−15.4	−15.8	−15.8	−15.2	10
20	−16.9	−15.8	−14.8	−14.0	−13.5	−13.6	−14.1	−14.9	−15.6	−15.9	−15.7	−15.0	20
30	−16.5	−15.4	−14.5	−13.8	−13.5	−13.7	−14.3	−15.1	−15.7	−15.9	−15.5	−14.7	30
40	−16.2	−15.1	−14.2	−13.6	−13.5	−13.9	−14.6	−15.4	−15.8	−15.8	−15.2	−14.3	40

Declination of Uranus in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−19.7	−19.3	−18.9	−18.6	−18.4	−18.4	−18.6	−18.9	−19.2	−19.4	−19.4	−19.2	0
10	−19.6	−19.1	−18.8	−18.5	−18.4	−18.5	−18.7	−19.0	−19.3	−19.4	−19.3	−19.1	10
20	−19.4	−19.0	−18.7	−18.4	−18.4	−18.5	−18.8	−19.1	−19.4	−19.4	−19.3	−18.9	20
30	−19.3	−18.9	−18.6	−18.4	−18.4	−18.6	−18.9	−19.2	−19.4	−19.4	−19.2	−18.8	30
40	−19.2	−18.8	−18.5	−18.4	−18.5	−18.7	−19.0	−19.3	−19.4	−19.3	−19.1	−18.7	40

Declination of Neptune in 2081

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+18.8	+19.0	+19.2	+19.3	+19.3	+19.2	+19.0	+18.7	+18.5	+18.3	+18.1	+18.2	0
10	+18.9	+19.1	+19.2	+19.3	+19.3	+19.1	+18.9	+18.6	+18.4	+18.2	+18.1	+18.2	10
20	+18.9	+19.1	+19.3	+19.3	+19.2	+19.1	+18.8	+18.5	+18.3	+18.2	+18.1	+18.3	20
30	+19.0	+19.2	+19.3	+19.3	+19.2	+19.0	+18.7	+18.5	+18.3	+18.1	+18.2	+18.3	30
40	+19.1	+19.2	+19.3	+19.3	+19.1	+18.9	+18.6	+18.4	+18.2	+18.1	+18.2	+18.4	40

Meridian passages of the planets in 2081

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

Rings of Saturn in 2081

Distances from Earth to Mercury, Venus and Mars 2081

Nutation in obliquity 2081

Heliocentric positions of the planets in their orbits 2081

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

Heliocentric positions of the planets in their orbits 2081 January

Heliocentric positions of the planets in their orbits 2081 February

Heliocentric positions of the planets in their orbits 2081 March

Heliocentric positions of the planets in their orbits 2081 April

Heliocentric positions of the planets in their orbits 2081 May

Heliocentric positions of the planets in their orbits 2081 June

Heliocentric positions of the planets in their orbits 2081 July

Heliocentric positions of the planets in their orbits 2081 August

Heliocentric positions of the planets in their orbits 2081 September

Heliocentric positions of the planets in their orbits 2081 October

Heliocentric positions of the planets in their orbits 2081 November

Heliocentric positions of the planets in their orbits 2081 December

Heliocentric positions of the planets in their orbits 2081

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 +159 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