Almanac 2161

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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 2161

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

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

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

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

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

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

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

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

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

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

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

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

December
49		1	2	3	4	5	6
50	7	8	9	10	11	12	13
51	14	15	16	17	18	19	20
52	21	22	23	24	25	26	27
53	28	29	30	31

Legend

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

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

Sun 2161

		d	h			d	h	m		d	h	m
Perigee:	Jan.	6	19	Equinoxes:	Mar.	20	07	51	Sep.	22	16	06
Apogee:	Jul.	7	10	Solstices:	Jun.	20	23	04	Dec.	21	15	10

Phases of the Moon 2161

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
				Jan.	4	18	48	Jan.	12	01	31	Jan.	18	16	11
Jan.	26	09	17	Feb.	3	13	49	Feb.	10	12	26	Feb.	17	03	58
Feb.	25	04	04	Mar.	5	05	21	Mar.	11	22	09	Mar.	18	18	12
Mar.	26	22	09	Apr.	3	16	46	Apr.	10	07	17	Apr.	17	10	18
Apr.	25	14	26	May	3	00	31	May	9	16	32	May	17	03	29
May	25	04	14	Jun.	1	05	48	Jun.	8	02	30	Jun.	15	20	58
Jun.	23	15	21	Jun.	30	10	12	Jul.	7	13	43	Jul.	15	14	05
Jul.	23	00	18	Jul.	29	15	17	Aug.	6	02	35	Aug.	14	06	09
Aug.	21	07	59	Aug.	27	22	30	Sep.	4	17	22	Sep.	12	20	28
Sep.	19	15	34	Sep.	26	08	53	Oct.	4	09	57	Oct.	12	08	40
Oct.	19	00	10	Oct.	25	23	03	Nov.	3	03	37	Nov.	10	18	50
Nov.	17	10	27	Nov.	24	17	00	Dec.	2	21	03	Dec.	10	03	31
Dec.	16	22	43	Dec.	24	13	56

Apsides of the Moon 2161

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	1	18	405 355	63.554
Jan.	13	16	360 754	56.561	Jan.	29	09	406 268	63.697
Feb.	11	02	357 140	55.994	Feb.	25	14	406 696	63.764
Mar.	11	15	356 722	55.929	Mar.	24	16	406 508	63.735
Apr.	9	01	359 441	56.355	Apr.	21	05	405 659	63.601
May	7	02	364 256	57.110	May	18	23	404 645	63.442
Jun.	3	01	368 958	57.847	Jun.	15	18	404 196	63.372
Jun.	28	04	368 414	57.762	Jul.	13	12	404 603	63.436
Jul.	25	09	363 620	57.010	Aug.	10	04	405 524	63.580
Aug.	22	11	359 271	56.328	Sep.	6	15	406 265	63.696
Sep.	19	21	357 086	55.986	Oct.	3	17	406 370	63.713
Oct.	18	08	357 835	56.103	Oct.	30	22	405 878	63.636
Nov.	15	16	361 512	56.680	Nov.	27	13	405 012	63.500
Dec.	13	13	367 007	57.541	Dec.	25	09	404 368	63.399

Passages of the Moon through the nodes 2161

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	21	22	16	Jul.	31	09	49	Jan.	9	06	35	Jul.	18	17	12
Feb.	17	23	04	Aug.	27	10	35	Feb.	5	12	57	Aug.	14	20	58
Mar.	17	00	47	Sep.	23	13	48	Mar.	4	14	57	Sep.	10	22	29
Apr.	13	06	43	Oct.	20	21	42	Mar.	31	15	51	Oct.	8	00	38
May	10	15	58	Nov.	17	08	27	Apr.	27	19	23	Nov.	4	05	33
Jun.	7	01	10	Dec.	14	17	52	May	25	02	13	Dec.	1	12	43
Jul.	4	07	26					Jun.	21	10	24	Dec.	28	19	37

Maximum declinations of the Moon 2161

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	9	16	24	+22.4	Jan.	22	10	31	−22.3
Feb.	6	03	15	+22.2	Feb.	18	16	37	−22.1
Mar.	5	11	51	+21.9	Mar.	17	23	30	−21.8
Apr.	1	17	52	+21.7	Apr.	14	07	57	−21.6
Apr.	28	22	57	+21.6	May	11	17	30	−21.5
May	26	05	12	+21.5	Jun.	8	02	51	−21.5
Jun.	22	13	35	+21.5	Jul.	5	10	59	−21.5
Jul.	19	23	31	+21.5	Aug.	1	17	40	−21.4
Aug.	16	09	22	+21.3	Aug.	28	23	40	−21.2
Sep.	12	17	36	+21.0	Sep.	25	06	21	−20.9
Oct.	9	23	49	+20.8	Oct.	22	14	50	−20.8
Nov.	6	05	11	+20.7	Nov.	19	01	06	−20.7
Dec.	3	11	40	+20.8	Dec.	16	11	42	−20.8
Dec.	30	20	22	+20.7

Distance from the Earth to the Moon in 2161

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

Mercury 2161

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

Venus 2161

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

Mars 2161

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

Jupiter 2161

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

Saturn 2161

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

Uranus 2161

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

Neptune 2161

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

Planetary phenomena 2161

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2161

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation						Apr.	14	15	20°	+0.1	Aug.	12	19	27°	+0.4	Dec.	7	07	21°	−0.4
Stationary	Jan.	1	00			Apr.	24	04			Aug.	26	13			Dec.	15	22
Inferior conjunction	Jan.	10	03			May	4	19			Sep.	9	04			Dec.	25	09
Stationary	Jan.	21	05			May	17	23			Sep.	18	12
Greatest western elongation	Feb.	1	23	25°	−0.1	Jun.	1	00	25°	+0.6	Sep.	25	05	18°	−0.4
Superior conjunction	Mar.	20	03			Jul.	3	19			Oct.	23	00

Venus 2161

		d	h		Mag
Stationary	Jan.	21	08
Inferior conjunction	Feb.	11	01
Stationary	Mar.	3	15
Greatest western elongation	Apr.	22	04	46°	−4.4
Superior conjunction	Nov.	25	00

Superior planets 2161

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars				Aug.	6	23	Sep.	6	16	−2.9	Oct.	6	04
Jupiter	Dec.	18	01	Mar.	31	12	May	31	11	−2.6	Aug.	1	18
Saturn	Nov.	17	12	Mar.	1	18	May	9	17	+0.1	Jul.	19	16
Uranus	Jan.	10	13	Apr.	28	11	Jul.	14	17	+5.6	Sep.	29	13
Neptune	Jan.	17	20	May	2	04	Jul.	21	09	+7.8	Oct.	9	07

Planets in perihelion and in aphelion 2161

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury	Jan.	5	0.30748	45.998	Feb.	18	0.46672	69.820
	Apr.	3	0.30748	45.999	May	17	0.46671	69.819
	Jun.	30	0.30749	45.999	Aug.	13	0.46671	69.819
	Sep.	26	0.30748	45.999	Nov.	9	0.46671	69.820
	Dec.	23	0.30748	45.999

Venus	Feb.	5	0.71850	107.485	May	28	0.72818	108.934
	Sep.	18	0.71848	107.483

Earth	Jan.	6	0.98334	147.105	Jul.	7	1.01661	152.082

Mars	Aug.	29	1.38125	206.633

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 2161

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

Magnitudes, phases and diameters of the planets in 2161

At 0:00 Universal Time

		Mercury			Venus			Mars		Jupiter		Saturn
		Mag	Phase	Diam	Mag	Phase	Diam	Mag	Diam	Mag	Diam	Mag	Diam
Jan.	0	+0.2	0.33	8	−4.8	0.31	37	+1.6	4	−1.8	32	+0.6	16	Jan.	0
	5	+1.9	0.11	9	−4.9	0.27	40	+1.5	5	−1.8	32	+0.6	16		5
	10	…	0.01	10	−4.9	0.23	43	+1.5	5	−1.8	33	+0.6	16		10
	15	+2.2	0.09	10	−4.9	0.19	47	+1.5	5	−1.8	33	+0.6	16		15
	20	+0.7	0.27	9	−4.8	0.14	51	+1.4	5	−1.8	33	+0.6	16		20
	25	+0.2	0.43	8	−4.7	0.10	55	+1.4	5	−1.9	34	+0.6	16		25
	30	0.0	0.56	7	−4.6	0.06	58	+1.3	5	−1.9	34	+0.6	17		30
Feb.	4	−0.1	0.66	7	−4.4	0.03	61	+1.3	5	−1.9	34	+0.5	17	Feb.	4
	9	−0.1	0.73	6	−4.2	0.01	62	+1.2	5	−1.9	35	+0.5	17		9
	14	−0.1	0.79	6	−4.3	0.01	61	+1.2	5	−2.0	35	+0.5	17		14
	19	−0.2	0.83	5	−4.4	0.03	59	+1.1	6	−2.0	36	+0.5	17		19
	24	−0.3	0.87	5	−4.6	0.07	56	+1.1	6	−2.0	36	+0.5	17		24
Mar.	1	−0.4	0.91	5	−4.7	0.11	53	+1.0	6	−2.1	37	+0.4	17	Mar.	1
	6	−0.7	0.94	5	−4.8	0.15	49	+0.9	6	−2.1	37	+0.4	18		6
	11	−1.0	0.97	5	−4.8	0.20	45	+0.9	6	−2.1	38	+0.4	18		11
	16	−1.4	0.99	5	−4.8	0.24	41	+0.8	7	−2.2	39	+0.4	18		16
	21	−1.9	1.00	5	−4.8	0.28	38	+0.7	7	−2.2	39	+0.3	18		21
	26	−1.6	0.97	5	−4.7	0.32	35	+0.7	7	−2.2	40	+0.3	18		26
	31	−1.4	0.89	5	−4.7	0.36	33	+0.6	7	−2.3	41	+0.3	18		31
Apr.	5	−1.0	0.75	6	−4.6	0.39	30	+0.5	7	−2.3	41	+0.3	18	Apr.	5
	10	−0.5	0.57	7	−4.6	0.42	28	+0.5	8	−2.3	42	+0.2	18		10
	15	+0.2	0.38	8	−4.5	0.45	27	+0.4	8	−2.4	42	+0.2	19		15
	20	+1.1	0.22	9	−4.5	0.48	25	+0.3	8	−2.4	43	+0.2	19		20
	25	+2.4	0.10	10	−4.4	0.51	24	+0.2	9	−2.4	43	+0.1	19		25
	30	+4.1	0.03	11	−4.4	0.53	22	+0.1	9	−2.5	44	+0.1	19		30
May	5	…	0.00	12	−4.3	0.56	21	0.0	9	−2.5	44	+0.1	19	May	5
	10	+4.1	0.03	12	−4.3	0.58	20	−0.1	10	−2.5	45	+0.1	19		10
	15	+2.7	0.09	11	−4.2	0.60	19	−0.2	10	−2.5	45	+0.1	19		15
	20	+1.8	0.17	10	−4.2	0.62	19	−0.3	10	−2.6	45	+0.1	19		20
	25	+1.2	0.26	10	−4.2	0.64	18	−0.4	11	−2.6	45	+0.2	19		25
	30	+0.7	0.35	9	−4.1	0.66	17	−0.5	11	−2.6	45	+0.2	19		30
Jun.	4	+0.4	0.44	8	−4.1	0.68	16	−0.6	12	−2.6	45	+0.2	19	Jun.	4
	9	0.0	0.54	7	−4.1	0.70	16	−0.7	13	−2.6	45	+0.3	18		9
	14	−0.4	0.65	6	−4.0	0.72	15	−0.8	13	−2.6	45	+0.3	18		14
	19	−0.8	0.77	6	−4.0	0.74	15	−0.9	14	−2.5	45	+0.3	18		19
	24	−1.2	0.88	5	−4.0	0.75	14	−1.1	14	−2.5	45	+0.4	18		24
	29	−1.7	0.97	5	−4.0	0.77	14	−1.2	15	−2.5	44	+0.4	18		29
Jul.	4	−2.2	1.00	5	−4.0	0.78	14	−1.3	16	−2.5	44	+0.4	18	Jul.	4
	9	−1.6	0.97	5	−3.9	0.80	13	−1.4	17	−2.5	44	+0.4	18		9
	14	−1.0	0.91	5	−3.9	0.81	13	−1.6	18	−2.4	43	+0.5	18		14
	19	−0.6	0.84	5	−3.9	0.83	13	−1.7	18	−2.4	43	+0.5	17		19
	24	−0.3	0.77	6	−3.9	0.84	12	−1.9	19	−2.4	42	+0.5	17		24
	29	−0.1	0.70	6	−3.9	0.85	12	−2.0	20	−2.3	41	+0.5	17		29
Aug.	3	+0.1	0.63	6	−3.9	0.86	12	−2.1	21	−2.3	41	+0.6	17	Aug.	3
	8	+0.2	0.56	7	−3.9	0.88	12	−2.3	22	−2.3	40	+0.6	17		8
	13	+0.4	0.49	8	−3.9	0.89	11	−2.4	23	−2.2	40	+0.6	17		13
	18	+0.6	0.41	8	−3.9	0.90	11	−2.6	24	−2.2	39	+0.6	17		18
	23	+0.9	0.31	9	−3.9	0.91	11	−2.7	24	−2.2	38	+0.6	16		23
	28	+1.5	0.20	10	−3.9	0.92	11	−2.8	25	−2.1	38	+0.6	16		28
Sep.	2	+2.5	0.09	10	−3.9	0.93	11	−2.8	25	−2.1	37	+0.6	16	Sep.	2
	7	+4.3	0.02	11	−3.9	0.94	11	−2.9	25	−2.1	37	+0.6	16		7
	12	+4.0	0.02	10	−3.9	0.94	11	−2.8	25	−2.0	36	+0.6	16		12
	17	+1.7	0.14	9	−3.9	0.95	10	−2.7	24	−2.0	36	+0.6	16		17
	22	+0.2	0.34	8	−3.9	0.96	10	−2.6	24	−2.0	35	+0.6	16		22
	27	−0.6	0.57	7	−3.9	0.97	10	−2.5	23	−2.0	35	+0.6	16		27
Oct.	2	−1.0	0.77	6	−3.9	0.97	10	−2.3	22	−1.9	34	+0.6	16	Oct.	2
	7	−1.1	0.89	5	−3.9	0.98	10	−2.2	21	−1.9	34	+0.6	16		7
	12	−1.2	0.96	5	−3.9	0.98	10	−2.0	20	−1.9	34	+0.6	15		12
	17	−1.3	0.99	5	−3.9	0.99	10	−1.8	19	−1.9	33	+0.6	15		17
	22	−1.4	1.00	5	−3.9	0.99	10	−1.7	18	−1.9	33	+0.6	15		22
	27	−1.2	1.00	5	−3.9	0.99	10	−1.5	17	−1.9	33	+0.6	15		27
Nov.	1	−0.9	0.99	5	−3.9	0.99	10	−1.4	16	−1.8	33	+0.5	15	Nov.	1
	6	−0.7	0.97	5	−3.9	1.00	10	−1.2	15	−1.8	32	+0.5	15		6
	11	−0.6	0.95	5	−3.9	1.00	10	−1.1	14	−1.8	32	+0.5	15		11
	16	−0.5	0.93	5	−3.9	1.00	10	−1.0	14	−1.8	32	+0.5	15		16
	21	−0.4	0.89	5	…	1.00	10	−0.8	13	−1.8	32	+0.5	15		21
	26	−0.4	0.84	5	…	1.00	10	−0.7	12	−1.8	32	+0.5	15		26
Dec.	1	−0.4	0.77	6	…	1.00	10	−0.6	12	−1.8	32	+0.5	15	Dec.	1
	6	−0.4	0.66	6	−3.9	1.00	10	−0.4	11	−1.8	31	+0.5	15		6
	11	−0.2	0.50	7	−3.9	1.00	10	−0.3	11	−1.8	31	+0.5	15		11
	16	+0.4	0.29	8	−3.9	1.00	10	−0.2	10	−1.8	31	+0.5	15		16
	21	+2.3	0.08	9	−3.9	0.99	10	−0.1	10	−1.8	31	+0.6	15		21
	26	…	0.01	10	−3.9	0.99	10	0.0	9	−1.8	31	+0.6	16		26
	31	+1.7	0.13	9	−3.9	0.99	10	+0.1	9	−1.8	32	+0.6	16		31
	36	+0.4	0.32	8	−3.9	0.99	10	+0.2	9	−1.8	32	+0.6	16		36

Declinations of the Sun, Moon and planets in 2161

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

Declinations of the Sun and planets in 2161

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

Declination of the Sun in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.4	−7.9	+4.2	+14.8	+21.9	+23.1	+18.2	+8.6	−2.8	−14.1	−21.6	0
1	−23.0	−17.1	−7.6	+4.6	+15.1	+22.1	+23.1	+17.9	+8.2	−3.2	−14.4	−21.8	1
2	−22.9	−16.8	−7.2	+5.0	+15.4	+22.2	+23.0	+17.7	+7.8	−3.6	−14.8	−21.9	2
3	−22.8	−16.5	−6.8	+5.3	+15.7	+22.3	+22.9	+17.4	+7.5	−4.0	−15.1	−22.1	3
4	−22.7	−16.2	−6.4	+5.7	+16.0	+22.4	+22.8	+17.2	+7.1	−4.4	−15.4	−22.2	4
5	−22.6	−15.9	−6.0	+6.1	+16.3	+22.5	+22.7	+16.9	+6.7	−4.8	−15.7	−22.3	5
6	−22.5	−15.6	−5.6	+6.5	+16.6	+22.6	+22.6	+16.6	+6.4	−5.2	−16.0	−22.5	6
7	−22.3	−15.3	−5.2	+6.9	+16.8	+22.7	+22.5	+16.3	+6.0	−5.5	−16.3	−22.6	7
8	−22.2	−15.0	−4.9	+7.2	+17.1	+22.8	+22.4	+16.1	+5.6	−5.9	−16.6	−22.7	8
9	−22.1	−14.6	−4.5	+7.6	+17.4	+22.9	+22.3	+15.8	+5.3	−6.3	−16.9	−22.8	9
10	−21.9	−14.3	−4.1	+8.0	+17.6	+23.0	+22.2	+15.5	+4.9	−6.7	−17.1	−22.9	10
11	−21.8	−14.0	−3.7	+8.4	+17.9	+23.1	+22.1	+15.2	+4.5	−7.1	−17.4	−23.0	11
12	−21.6	−13.7	−3.3	+8.7	+18.2	+23.1	+21.9	+14.9	+4.1	−7.4	−17.7	−23.1	12
13	−21.5	−13.3	−2.9	+9.1	+18.4	+23.2	+21.8	+14.6	+3.7	−7.8	−18.0	−23.1	13
14	−21.3	−13.0	−2.5	+9.4	+18.6	+23.3	+21.6	+14.3	+3.3	−8.2	−18.2	−23.2	14
15	−21.1	−12.7	−2.1	+9.8	+18.9	+23.3	+21.5	+14.0	+3.0	−8.5	−18.5	−23.2	15
16	−20.9	−12.3	−1.7	+10.2	+19.1	+23.3	+21.3	+13.7	+2.6	−8.9	−18.7	−23.3	16
17	−20.7	−12.0	−1.3	+10.5	+19.3	+23.4	+21.1	+13.3	+2.2	−9.3	−19.0	−23.3	17
18	−20.5	−11.6	−0.9	+10.9	+19.6	+23.4	+21.0	+13.0	+1.8	−9.6	−19.2	−23.4	18
19	−20.3	−11.3	−0.5	+11.2	+19.8	+23.4	+20.8	+12.7	+1.4	−10.0	−19.5	−23.4	19
20	−20.1	−10.9	−0.1	+11.6	+20.0	+23.4	+20.6	+12.4	+1.0	−10.4	−19.7	−23.4	20
21	−19.9	−10.5	+0.3	+11.9	+20.2	+23.4	+20.4	+12.0	+0.6	−10.7	−19.9	−23.4	21
22	−19.7	−10.2	+0.7	+12.2	+20.4	+23.4	+20.2	+11.7	+0.3	−11.1	−20.1	−23.4	22
23	−19.4	−9.8	+1.1	+12.6	+20.6	+23.4	+20.0	+11.4	−0.1	−11.4	−20.3	−23.4	23
24	−19.2	−9.4	+1.5	+12.9	+20.8	+23.4	+19.8	+11.0	−0.5	−11.8	−20.5	−23.4	24
25	−18.9	−9.1	+1.8	+13.2	+21.0	+23.4	+19.6	+10.7	−0.9	−12.1	−20.7	−23.4	25
26	−18.7	−8.7	+2.2	+13.5	+21.1	+23.3	+19.4	+10.3	−1.3	−12.5	−20.9	−23.3	26
27	−18.4	−8.3	+2.6	+13.9	+21.3	+23.3	+19.1	+10.0	−1.7	−12.8	−21.1	−23.3	27
28	−18.2	−7.9	+3.0	+14.2	+21.5	+23.2	+18.9	+9.6	−2.1	−13.1	−21.3	−23.3	28
29	−17.9	−7.6	+3.4	+14.5	+21.6	+23.2	+18.7	+9.3	−2.5	−13.5	−21.5	−23.2	29
30	−17.6	−7.2	+3.8	+14.8	+21.8	+23.1	+18.4	+8.9	−2.8	−13.8	−21.6	−23.1	30
31	−17.4	−6.8	+4.2	+15.1	+21.9	+23.1	+18.2	+8.6	−3.2	−14.1	−21.8	−23.1	31
32	−17.1	−6.4	+4.6	+15.4	+22.1	+23.0	+17.9	+8.2	−3.6	−14.4	−21.9	−23.0	32

Declination of the Moon in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−11.0	+5.0	+8.0	+20.0	+20.9	+8.7	−5.3	−19.6	−18.9	−10.3	+5.2	+15.0	0
1	−6.8	+9.3	+12.0	+21.4	+19.1	+3.8	−10.2	−21.1	−16.4	−6.3	+9.1	+17.7	1
2	−2.4	+13.2	+15.6	+21.6	+16.2	−1.4	−14.4	−21.4	−13.2	−2.2	+12.7	+19.6	2
3	+2.0	+16.7	+18.5	+20.7	+12.3	−6.5	−17.8	−20.5	−9.5	+2.0	+15.9	+20.6	3
4	+6.5	+19.5	+20.7	+18.6	+7.7	−11.3	−20.2	−18.6	−5.4	+6.2	+18.3	+20.6	4
5	+10.7	+21.4	+21.8	+15.4	+2.6	−15.5	−21.4	−15.8	−1.2	+10.1	+20.0	+19.5	5
6	+14.6	+22.2	+21.8	+11.2	−2.8	−18.7	−21.4	−12.4	+3.1	+13.6	+20.7	+17.3	6
7	+18.0	+21.7	+20.5	+6.2	−8.0	−20.7	−20.1	−8.4	+7.2	+16.6	+20.4	+14.2	7
8	+20.5	+19.8	+17.9	+0.8	−12.7	−21.5	−17.9	−4.2	+11.1	+18.9	+19.0	+10.3	8
9	+22.0	+16.6	+14.2	−4.7	−16.7	−21.1	−14.8	+0.1	+14.5	+20.3	+16.7	+5.8	9
10	+22.3	+12.2	+9.5	−9.9	−19.6	−19.4	−11.2	+4.4	+17.4	+20.8	+13.4	+0.9	10
11	+21.1	+7.0	+4.1	−14.5	−21.2	−16.9	−7.1	+8.5	+19.5	+20.3	+9.3	−4.0	11
12	+18.5	+1.3	−1.6	−18.1	−21.5	−13.5	−2.8	+12.2	+20.7	+18.7	+4.6	−8.8	12
13	+14.7	−4.3	−7.2	−20.5	−20.6	−9.7	+1.5	+15.6	+21.0	+16.0	−0.4	−13.2	13
14	+9.9	−9.6	−12.2	−21.6	−18.5	−5.6	+5.8	+18.3	+20.1	+12.4	−5.5	−16.8	14
15	+4.5	−14.2	−16.4	−21.3	−15.7	−1.3	+9.9	+20.2	+18.1	+7.9	−10.4	−19.3	15
16	−1.1	−17.9	−19.4	−20.0	−12.2	+3.1	+13.6	+21.2	+15.0	+2.9	−14.6	−20.6	16
17	−6.5	−20.4	−21.3	−17.7	−8.3	+7.3	+16.8	+21.1	+10.9	−2.4	−17.9	−20.6	17
18	−11.4	−21.8	−21.8	−14.7	−4.1	+11.3	+19.3	+19.7	+6.0	−7.6	−20.0	−19.3	18
19	−15.6	−22.0	−21.2	−11.1	+0.2	+14.9	+20.9	+17.2	+0.7	−12.3	−20.7	−17.0	19
20	−18.9	−21.1	−19.6	−7.1	+4.5	+17.9	+21.5	+13.5	−4.8	−16.3	−20.1	−13.8	20
21	−21.1	−19.3	−17.1	−2.8	+8.7	+20.1	+20.8	+8.9	−9.9	−19.1	−18.4	−10.1	21
22	−22.2	−16.5	−13.9	+1.5	+12.6	+21.4	+18.9	+3.7	−14.3	−20.5	−15.7	−6.0	22
23	−22.1	−13.2	−10.2	+5.8	+16.0	+21.4	+15.8	−1.8	−17.7	−20.7	−12.3	−1.8	23
24	−21.0	−9.3	−6.1	+9.9	+18.8	+20.3	+11.6	−7.1	−19.9	−19.6	−8.5	+2.5	24
25	−18.8	−5.1	−1.8	+13.7	+20.7	+17.8	+6.8	−11.9	−20.9	−17.5	−4.4	+6.6	25
26	−15.8	−0.7	+2.6	+17.0	+21.5	+14.3	+1.5	−15.9	−20.6	−14.6	−0.2	+10.4	26
27	−12.2	+3.7	+6.9	+19.5	+21.2	+10.0	−3.8	−18.8	−19.2	−11.1	+4.0	+13.9	27
28	−8.2	+8.0	+11.0	+21.0	+19.6	+5.1	−8.9	−20.6	−16.9	−7.3	+8.0	+16.8	28
29	−3.9	+12.0	+14.6	+21.6	+16.9	−0.1	−13.3	−21.2	−13.9	−3.2	+11.7	+19.0	29
30	+0.6	+15.6	+17.7	+20.9	+13.2	−5.3	−17.0	−20.6	−10.3	+1.0	+15.0	+20.4	30
31	+5.0	+18.5	+20.0	+19.1	+8.7	−10.2	−19.6	−18.9	−6.3	+5.2	+17.7	+20.7	31
32	+9.3	+20.7	+21.4	+16.2	+3.8	−14.4	−21.1	−16.4	−2.2	+9.1	+19.6	+20.0	32

Declination of Mercury in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.8	−21.2	−15.5	+8.7	+18.7	+13.0	+24.1	+11.0	−1.8	+5.2	−15.9	−25.9	0
1	−20.5	−21.2	−15.0	+9.6	+18.4	+13.3	+24.2	+10.3	−1.6	+4.7	−16.5	−25.9	1
2	−20.2	−21.3	−14.4	+10.5	+18.0	+13.6	+24.2	+9.7	−1.4	+4.2	−17.0	−25.9	2
3	−20.0	−21.3	−13.9	+11.3	+17.6	+14.0	+24.2	+9.1	−1.1	+3.6	−17.6	−25.8	3
4	−19.8	−21.3	−13.3	+12.2	+17.1	+14.3	+24.1	+8.4	−0.8	+3.0	−18.1	−25.8	4
5	−19.6	−21.3	−12.7	+13.0	+16.7	+14.7	+24.0	+7.8	−0.4	+2.3	−18.6	−25.7	5
6	−19.4	−21.2	−12.1	+13.8	+16.2	+15.1	+23.8	+7.2	+0.1	+1.6	−19.2	−25.6	6
7	−19.3	−21.2	−11.5	+14.5	+15.7	+15.5	+23.6	+6.6	+0.6	+0.9	−19.7	−25.5	7
8	−19.2	−21.1	−10.8	+15.2	+15.3	+16.0	+23.4	+5.9	+1.1	+0.2	−20.1	−25.3	8
9	−19.1	−21.0	−10.2	+15.9	+14.8	+16.4	+23.1	+5.3	+1.7	−0.5	−20.6	−25.2	9
10	−19.1	−20.9	−9.5	+16.5	+14.4	+16.8	+22.8	+4.8	+2.3	−1.2	−21.0	−25.0	10
11	−19.1	−20.8	−8.8	+17.0	+14.0	+17.3	+22.4	+4.2	+2.9	−2.0	−21.5	−24.8	11
12	−19.1	−20.7	−8.0	+17.6	+13.6	+17.8	+22.0	+3.6	+3.5	−2.7	−21.9	−24.6	12
13	−19.2	−20.5	−7.3	+18.1	+13.2	+18.2	+21.6	+3.1	+4.1	−3.5	−22.3	−24.3	13
14	−19.2	−20.3	−6.5	+18.5	+12.9	+18.7	+21.1	+2.6	+4.6	−4.2	−22.6	−24.1	14
15	−19.3	−20.1	−5.7	+18.9	+12.6	+19.1	+20.6	+2.1	+5.1	−4.9	−23.0	−23.9	15
16	−19.4	−19.9	−4.9	+19.2	+12.3	+19.6	+20.1	+1.6	+5.6	−5.7	−23.3	−23.6	16
17	−19.5	−19.6	−4.1	+19.5	+12.1	+20.1	+19.6	+1.1	+6.0	−6.4	−23.7	−23.3	17
18	−19.6	−19.3	−3.2	+19.7	+11.9	+20.5	+19.1	+0.7	+6.4	−7.2	−24.0	−23.1	18
19	−19.7	−19.1	−2.4	+19.9	+11.8	+20.9	+18.5	+0.3	+6.7	−7.9	−24.2	−22.8	19
20	−19.9	−18.7	−1.5	+20.1	+11.7	+21.4	+17.9	−0.1	+6.9	−8.6	−24.5	−22.5	20
21	−20.0	−18.4	−0.6	+20.1	+11.6	+21.8	+17.3	−0.5	+7.1	−9.3	−24.7	−22.3	21
22	−20.2	−18.1	+0.3	+20.2	+11.6	+22.2	+16.7	−0.8	+7.1	−10.0	−24.9	−22.0	22
23	−20.3	−17.7	+1.2	+20.2	+11.6	+22.5	+16.1	−1.1	+7.1	−10.7	−25.1	−21.7	23
24	−20.4	−17.3	+2.1	+20.1	+11.7	+22.9	+15.5	−1.4	+7.1	−11.4	−25.3	−21.5	24
25	−20.6	−16.9	+3.1	+20.0	+11.8	+23.2	+14.9	−1.6	+6.9	−12.1	−25.4	−21.2	25
26	−20.7	−16.4	+4.0	+19.8	+11.9	+23.4	+14.2	−1.7	+6.7	−12.7	−25.6	−21.0	26
27	−20.8	−16.0	+4.9	+19.6	+12.1	+23.7	+13.6	−1.8	+6.4	−13.4	−25.7	−20.8	27
28	−20.9	−15.5	+5.9	+19.4	+12.3	+23.9	+12.9	−1.9	+6.1	−14.0	−25.8	−20.6	28
29	−21.0	−15.0	+6.8	+19.1	+12.5	+24.0	+12.3	−1.9	+5.7	−14.7	−25.8	−20.5	29
30	−21.1	−14.4	+7.8	+18.7	+12.7	+24.1	+11.6	−1.9	+5.2	−15.3	−25.9	−20.4	30
31	−21.2	−13.9	+8.7	+18.4	+13.0	+24.2	+11.0	−1.8	+4.7	−15.9	−25.9	−20.3	31
32	−21.2	−13.3	+9.6	+18.0	+13.3	+24.2	+10.3	−1.6	+4.2	−16.5	−25.9	−20.2	32

Declination of Venus in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−14.3	−6.1	−8.9	−9.8	−2.9	+8.5	+18.6	+22.4	+16.7	+4.1	−10.9	−21.6	0
1	−13.9	−6.1	−9.0	−9.7	−2.6	+8.9	+18.8	+22.4	+16.4	+3.7	−11.4	−21.9	1
2	−13.6	−6.0	−9.2	−9.6	−2.3	+9.3	+19.1	+22.4	+16.0	+3.2	−11.8	−22.1	2
3	−13.2	−6.0	−9.3	−9.5	−1.9	+9.7	+19.3	+22.3	+15.7	+2.7	−12.2	−22.3	3
4	−12.9	−6.0	−9.4	−9.3	−1.6	+10.1	+19.5	+22.2	+15.3	+2.2	−12.7	−22.5	4
5	−12.5	−6.0	−9.6	−9.2	−1.2	+10.4	+19.8	+22.2	+15.0	+1.7	−13.1	−22.7	5
6	−12.2	−6.0	−9.7	−9.0	−0.9	+10.8	+20.0	+22.1	+14.6	+1.2	−13.5	−22.8	6
7	−11.8	−6.0	−9.8	−8.8	−0.5	+11.2	+20.2	+22.0	+14.2	+0.7	−14.0	−23.0	7
8	−11.5	−6.0	−9.9	−8.7	−0.2	+11.5	+20.4	+21.9	+13.9	+0.2	−14.4	−23.1	8
9	−11.2	−6.1	−10.0	−8.5	+0.2	+11.9	+20.6	+21.8	+13.5	−0.3	−14.8	−23.3	9
10	−10.8	−6.2	−10.1	−8.3	+0.6	+12.3	+20.8	+21.6	+13.1	−0.8	−15.2	−23.4	10
11	−10.5	−6.3	−10.2	−8.1	+0.9	+12.6	+20.9	+21.5	+12.7	−1.3	−15.6	−23.5	11
12	−10.2	−6.4	−10.3	−7.9	+1.3	+13.0	+21.1	+21.4	+12.3	−1.8	−16.0	−23.6	12
13	−9.9	−6.5	−10.3	−7.7	+1.7	+13.3	+21.3	+21.2	+11.9	−2.3	−16.4	−23.7	13
14	−9.6	−6.6	−10.4	−7.4	+2.0	+13.7	+21.4	+21.0	+11.4	−2.8	−16.7	−23.8	14
15	−9.3	−6.8	−10.4	−7.2	+2.4	+14.0	+21.6	+20.8	+11.0	−3.2	−17.1	−23.8	15
16	−9.0	−6.9	−10.5	−7.0	+2.8	+14.4	+21.7	+20.7	+10.6	−3.7	−17.5	−23.9	16
17	−8.7	−7.1	−10.5	−6.7	+3.2	+14.7	+21.8	+20.5	+10.1	−4.2	−17.8	−23.9	17
18	−8.5	−7.2	−10.5	−6.5	+3.5	+15.0	+21.9	+20.3	+9.7	−4.7	−18.2	−23.9	18
19	−8.2	−7.4	−10.5	−6.2	+3.9	+15.4	+22.0	+20.0	+9.3	−5.2	−18.5	−23.9	19
20	−8.0	−7.5	−10.5	−5.9	+4.3	+15.7	+22.1	+19.8	+8.8	−5.7	−18.8	−23.9	20
21	−7.7	−7.7	−10.5	−5.6	+4.7	+16.0	+22.2	+19.6	+8.4	−6.2	−19.2	−23.9	21
22	−7.5	−7.9	−10.5	−5.4	+5.1	+16.3	+22.3	+19.3	+7.9	−6.7	−19.5	−23.9	22
23	−7.3	−8.0	−10.4	−5.1	+5.5	+16.6	+22.3	+19.1	+7.4	−7.2	−19.8	−23.9	23
24	−7.1	−8.2	−10.4	−4.8	+5.9	+16.9	+22.4	+18.8	+7.0	−7.6	−20.1	−23.8	24
25	−6.9	−8.4	−10.4	−4.5	+6.2	+17.2	+22.4	+18.5	+6.5	−8.1	−20.4	−23.8	25
26	−6.7	−8.5	−10.3	−4.2	+6.6	+17.5	+22.4	+18.3	+6.0	−8.6	−20.6	−23.7	26
27	−6.6	−8.7	−10.2	−3.9	+7.0	+17.8	+22.5	+18.0	+5.6	−9.1	−20.9	−23.6	27
28	−6.5	−8.9	−10.1	−3.6	+7.4	+18.0	+22.5	+17.7	+5.1	−9.5	−21.2	−23.5	28
29	−6.3	−9.0	−10.1	−3.2	+7.8	+18.3	+22.5	+17.4	+4.6	−10.0	−21.4	−23.4	29
30	−6.2	−9.2	−10.0	−2.9	+8.2	+18.6	+22.5	+17.0	+4.1	−10.4	−21.6	−23.3	30
31	−6.1	−9.3	−9.8	−2.6	+8.5	+18.8	+22.4	+16.7	+3.7	−10.9	−21.9	−23.1	31
32	−6.1	−9.4	−9.7	−2.3	+8.9	+19.1	+22.4	+16.4	+3.2	−11.4	−22.1	−23.0	32

Declination of Mars in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−17.5	−21.9	−23.5	−22.6	−19.5	−15.0	−11.0	−9.4	−11.3	−12.3	−8.8	−2.6	0
1	−17.7	−22.0	−23.5	−22.5	−19.4	−14.9	−10.9	−9.4	−11.4	−12.3	−8.6	−2.3	1
2	−17.9	−22.0	−23.5	−22.5	−19.2	−14.7	−10.8	−9.4	−11.5	−12.2	−8.4	−2.1	2
3	−18.1	−22.1	−23.5	−22.4	−19.1	−14.6	−10.7	−9.4	−11.6	−12.1	−8.2	−1.9	3
4	−18.2	−22.2	−23.5	−22.3	−19.0	−14.4	−10.6	−9.5	−11.6	−12.1	−8.0	−1.6	4
5	−18.4	−22.3	−23.5	−22.2	−18.8	−14.3	−10.5	−9.5	−11.7	−12.0	−7.9	−1.4	5
6	−18.6	−22.4	−23.5	−22.1	−18.7	−14.1	−10.5	−9.5	−11.8	−11.9	−7.7	−1.1	6
7	−18.7	−22.5	−23.5	−22.1	−18.6	−14.0	−10.4	−9.5	−11.9	−11.9	−7.5	−0.9	7
8	−18.9	−22.6	−23.5	−22.0	−18.4	−13.9	−10.3	−9.6	−11.9	−11.8	−7.3	−0.7	8
9	−19.0	−22.6	−23.5	−21.9	−18.3	−13.7	−10.2	−9.6	−12.0	−11.7	−7.1	−0.4	9
10	−19.2	−22.7	−23.5	−21.8	−18.1	−13.6	−10.1	−9.7	−12.1	−11.6	−6.9	−0.2	10
11	−19.3	−22.8	−23.5	−21.7	−18.0	−13.4	−10.1	−9.7	−12.1	−11.5	−6.7	+0.1	11
12	−19.5	−22.8	−23.5	−21.6	−17.9	−13.3	−10.0	−9.8	−12.2	−11.4	−6.5	+0.3	12
13	−19.6	−22.9	−23.5	−21.5	−17.7	−13.2	−9.9	−9.8	−12.2	−11.3	−6.3	+0.5	13
14	−19.8	−23.0	−23.4	−21.4	−17.6	−13.0	−9.8	−9.9	−12.3	−11.2	−6.1	+0.8	14
15	−19.9	−23.0	−23.4	−21.3	−17.4	−12.9	−9.8	−10.0	−12.3	−11.1	−5.9	+1.0	15
16	−20.1	−23.1	−23.4	−21.2	−17.3	−12.7	−9.7	−10.0	−12.4	−11.0	−5.7	+1.3	16
17	−20.2	−23.1	−23.3	−21.1	−17.1	−12.6	−9.7	−10.1	−12.4	−10.9	−5.5	+1.5	17
18	−20.3	−23.2	−23.3	−21.0	−17.0	−12.5	−9.6	−10.2	−12.4	−10.7	−5.2	+1.8	18
19	−20.5	−23.2	−23.3	−20.9	−16.8	−12.3	−9.6	−10.3	−12.4	−10.6	−5.0	+2.0	19
20	−20.6	−23.3	−23.2	−20.7	−16.7	−12.2	−9.5	−10.4	−12.4	−10.5	−4.8	+2.3	20
21	−20.7	−23.3	−23.2	−20.6	−16.5	−12.1	−9.5	−10.4	−12.5	−10.3	−4.6	+2.5	21
22	−20.9	−23.3	−23.1	−20.5	−16.4	−12.0	−9.5	−10.5	−12.5	−10.2	−4.4	+2.8	22
23	−21.0	−23.4	−23.1	−20.4	−16.2	−11.8	−9.5	−10.6	−12.5	−10.0	−4.2	+3.0	23
24	−21.1	−23.4	−23.0	−20.3	−16.1	−11.7	−9.4	−10.7	−12.5	−9.9	−3.9	+3.3	24
25	−21.2	−23.4	−23.0	−20.1	−15.9	−11.6	−9.4	−10.8	−12.4	−9.7	−3.7	+3.5	25
26	−21.3	−23.5	−22.9	−20.0	−15.8	−11.5	−9.4	−10.9	−12.4	−9.6	−3.5	+3.8	26
27	−21.4	−23.5	−22.9	−19.9	−15.6	−11.4	−9.4	−11.0	−12.4	−9.4	−3.3	+4.0	27
28	−21.5	−23.5	−22.8	−19.8	−15.5	−11.3	−9.4	−11.0	−12.4	−9.3	−3.0	+4.3	28
29	−21.7	−23.5	−22.8	−19.6	−15.3	−11.1	−9.4	−11.1	−12.3	−9.1	−2.8	+4.5	29
30	−21.8	−23.5	−22.7	−19.5	−15.2	−11.0	−9.4	−11.2	−12.3	−8.9	−2.6	+4.8	30
31	−21.9	−23.5	−22.6	−19.4	−15.0	−10.9	−9.4	−11.3	−12.3	−8.8	−2.3	+5.0	31
32	−22.0	−23.5	−22.5	−19.2	−14.9	−10.8	−9.4	−11.4	−12.2	−8.6	−2.1	+5.3	32

Declination of Jupiter in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.3	−21.2	−21.6	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.5	−22.3	−22.9	0
1	−20.3	−21.2	−21.6	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.6	−22.3	−22.9	1
2	−20.4	−21.2	−21.7	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.6	−22.3	−22.9	2
3	−20.4	−21.3	−21.7	−21.8	−21.6	−21.1	−20.7	−20.6	−20.9	−21.6	−22.4	−22.9	3
4	−20.4	−21.3	−21.7	−21.8	−21.6	−21.1	−20.7	−20.6	−21.0	−21.6	−22.4	−22.9	4
5	−20.5	−21.3	−21.7	−21.8	−21.6	−21.1	−20.7	−20.6	−21.0	−21.7	−22.4	−22.9	5
6	−20.5	−21.3	−21.7	−21.8	−21.5	−21.1	−20.7	−20.6	−21.0	−21.7	−22.4	−23.0	6
7	−20.5	−21.3	−21.7	−21.8	−21.5	−21.1	−20.7	−20.6	−21.0	−21.7	−22.5	−23.0	7
8	−20.6	−21.4	−21.7	−21.8	−21.5	−21.1	−20.6	−20.6	−21.0	−21.7	−22.5	−23.0	8
9	−20.6	−21.4	−21.7	−21.8	−21.5	−21.0	−20.6	−20.6	−21.1	−21.8	−22.5	−23.0	9
10	−20.6	−21.4	−21.7	−21.7	−21.5	−21.0	−20.6	−20.6	−21.1	−21.8	−22.5	−23.0	10
11	−20.7	−21.4	−21.7	−21.7	−21.5	−21.0	−20.6	−20.6	−21.1	−21.8	−22.5	−23.0	11
12	−20.7	−21.4	−21.7	−21.7	−21.5	−21.0	−20.6	−20.6	−21.1	−21.8	−22.6	−23.0	12
13	−20.7	−21.4	−21.7	−21.7	−21.5	−21.0	−20.6	−20.6	−21.1	−21.9	−22.6	−23.0	13
14	−20.8	−21.5	−21.7	−21.7	−21.4	−21.0	−20.6	−20.7	−21.2	−21.9	−22.6	−23.0	14
15	−20.8	−21.5	−21.7	−21.7	−21.4	−20.9	−20.6	−20.7	−21.2	−21.9	−22.6	−23.0	15
16	−20.8	−21.5	−21.7	−21.7	−21.4	−20.9	−20.6	−20.7	−21.2	−21.9	−22.6	−23.1	16
17	−20.8	−21.5	−21.8	−21.7	−21.4	−20.9	−20.6	−20.7	−21.2	−22.0	−22.7	−23.1	17
18	−20.9	−21.5	−21.8	−21.7	−21.4	−20.9	−20.6	−20.7	−21.3	−22.0	−22.7	−23.1	18
19	−20.9	−21.5	−21.8	−21.7	−21.4	−20.9	−20.6	−20.7	−21.3	−22.0	−22.7	−23.1	19
20	−20.9	−21.5	−21.8	−21.7	−21.4	−20.9	−20.6	−20.7	−21.3	−22.0	−22.7	−23.1	20
21	−20.9	−21.6	−21.8	−21.7	−21.3	−20.8	−20.6	−20.7	−21.3	−22.1	−22.7	−23.1	21
22	−21.0	−21.6	−21.8	−21.7	−21.3	−20.8	−20.6	−20.7	−21.3	−22.1	−22.7	−23.1	22
23	−21.0	−21.6	−21.8	−21.7	−21.3	−20.8	−20.6	−20.8	−21.4	−22.1	−22.8	−23.1	23
24	−21.0	−21.6	−21.8	−21.7	−21.3	−20.8	−20.6	−20.8	−21.4	−22.1	−22.8	−23.1	24
25	−21.1	−21.6	−21.8	−21.7	−21.3	−20.8	−20.6	−20.8	−21.4	−22.2	−22.8	−23.1	25
26	−21.1	−21.6	−21.8	−21.6	−21.3	−20.8	−20.6	−20.8	−21.4	−22.2	−22.8	−23.1	26
27	−21.1	−21.6	−21.8	−21.6	−21.2	−20.8	−20.6	−20.8	−21.5	−22.2	−22.8	−23.1	27
28	−21.1	−21.6	−21.8	−21.6	−21.2	−20.8	−20.6	−20.8	−21.5	−22.2	−22.8	−23.1	28
29	−21.1	−21.6	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.5	−22.3	−22.9	−23.1	29
30	−21.2	−21.7	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.5	−22.3	−22.9	−23.1	30
31	−21.2	−21.7	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.6	−22.3	−22.9	−23.1	31
32	−21.2	−21.7	−21.8	−21.6	−21.2	−20.7	−20.6	−20.9	−21.6	−22.3	−22.9	−23.1	32

Declination of Saturn in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−15.5	−16.0	−16.1	−15.9	−15.3	−14.8	−14.4	−14.5	−15.0	−15.8	−16.7	−17.5	0
10	−15.7	−16.1	−16.1	−15.7	−15.1	−14.6	−14.4	−14.6	−15.2	−16.0	−17.0	−17.8	10
20	−15.9	−16.1	−16.0	−15.5	−15.0	−14.5	−14.4	−14.8	−15.5	−16.3	−17.3	−18.0	20
30	−16.0	−16.1	−15.9	−15.3	−14.8	−14.4	−14.5	−15.0	−15.8	−16.6	−17.5	−18.3	30
40	−16.1	−16.1	−15.7	−15.1	−14.6	−14.4	−14.6	−15.2	−16.0	−16.9	−17.8	−18.4	40

Declination of Uranus in 2161

At 0:00 Universal Time

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

Declination of Neptune in 2161

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.2	−20.0	−19.8	−19.6	−19.6	−19.6	−19.8	−19.9	−20.1	−20.2	−20.2	−20.1	0
10	−20.2	−19.9	−19.7	−19.6	−19.6	−19.7	−19.8	−20.0	−20.1	−20.2	−20.1	−20.0	10
20	−20.1	−19.9	−19.7	−19.6	−19.6	−19.7	−19.9	−20.0	−20.2	−20.2	−20.1	−19.9	20
30	−20.0	−19.8	−19.7	−19.6	−19.6	−19.8	−19.9	−20.1	−20.2	−20.2	−20.1	−19.9	30
40	−19.9	−19.7	−19.6	−19.6	−19.7	−19.8	−20.0	−20.1	−20.2	−20.1	−20.0	−19.8	40

Meridian passages of the planets in 2161

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

Rings of Saturn in 2161

Distances from Earth to Mercury, Venus and Mars 2161

Nutation in obliquity 2161

Heliocentric positions of the planets in their orbits 2161

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

Heliocentric positions of the planets in their orbits 2161 January

Heliocentric positions of the planets in their orbits 2161 February

Heliocentric positions of the planets in their orbits 2161 March

Heliocentric positions of the planets in their orbits 2161 April

Heliocentric positions of the planets in their orbits 2161 May

Heliocentric positions of the planets in their orbits 2161 June

Heliocentric positions of the planets in their orbits 2161 July

Heliocentric positions of the planets in their orbits 2161 August

Heliocentric positions of the planets in their orbits 2161 September

Heliocentric positions of the planets in their orbits 2161 October

Heliocentric positions of the planets in their orbits 2161 November

Heliocentric positions of the planets in their orbits 2161 December

Heliocentric positions of the planets in their orbits 2161

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 +352 seconds.

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