Almanac 2157

< Back to index of years ••• ← 2156 2157 2158 →

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 2157

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

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 2157

		d	h			d	h	m		d	h	m
Perigee:	Jan.	4	13	Equinoxes:	Mar.	20	08	38	Sep.	22	16	56
Apogee:	Jul.	7	05	Solstices:	Jun.	21	00	04	Dec.	21	15	55

Phases of the Moon 2157

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
												Jan.	3	20	28
Jan.	11	08	32	Jan.	18	01	46	Jan.	25	12	06	Feb.	2	16	56
Feb.	9	20	28	Feb.	16	11	34	Feb.	24	06	35	Mar.	4	10	10
Mar.	11	06	55	Mar.	17	23	19	Mar.	26	01	05	Apr.	2	23	32
Apr.	9	16	00	Apr.	16	13	18	Apr.	24	18	00	May	2	09	11
May	9	00	18	May	16	05	14	May	24	08	33	May	31	15	51
Jun.	7	08	46	Jun.	14	22	20	Jun.	22	20	45	Jun.	29	20	39
Jul.	6	18	29	Jul.	14	15	42	Jul.	22	07	02	Jul.	29	01	02
Aug.	5	06	17	Aug.	13	08	33	Aug.	20	16	03	Aug.	27	06	35
Sep.	3	20	30	Sep.	12	00	20	Sep.	19	00	27	Sep.	25	14	51
Oct.	3	12	48	Oct.	11	14	40	Oct.	18	08	58	Oct.	25	02	59
Nov.	2	06	26	Nov.	10	03	09	Nov.	16	18	22	Nov.	23	19	21
Dec.	2	00	24	Dec.	9	13	35	Dec.	16	05	22	Dec.	23	15	12
Dec.	31	17	38

Apsides of the Moon 2157

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	2	05	404 545	63.427
Jan.	13	23	364 722	57.183	Jan.	30	01	405 386	63.559
Feb.	11	03	359 649	56.388	Feb.	26	12	406 140	63.677
Mar.	11	14	357 062	55.982	Mar.	25	14	406 384	63.715
Apr.	9	01	357 629	56.071	Apr.	21	19	406 006	63.656
May	7	09	360 987	56.597	May	19	10	405 094	63.513
Jun.	4	05	365 906	57.369	Jun.	16	03	404 302	63.389
Jun.	30	10	369 621	57.951	Jul.	13	22	404 242	63.379
Jul.	26	00	367 095	57.555	Aug.	10	16	404 990	63.496
Aug.	22	15	362 061	56.766	Sep.	7	08	406 029	63.660
Sep.	19	21	358 083	56.142	Oct.	4	17	406 635	63.754
Oct.	18	07	356 624	55.913	Oct.	31	18	406 553	63.742
Nov.	15	19	358 313	56.178	Nov.	28	03	405 888	63.637
Dec.	14	02	362 859	56.891	Dec.	25	21	404 954	63.491

Passages of the Moon through the nodes 2157

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	13	18	22	Jul.	23	12	08	Jan.	27	03	55	Aug.	5	13	16
Feb.	10	03	57	Aug.	19	21	41	Feb.	23	10	49	Sep.	1	19	56
Mar.	9	15	06	Sep.	16	07	22	Mar.	22	16	02	Sep.	28	23	43
Apr.	5	23	24	Oct.	13	13	47	Apr.	18	18	38	Oct.	26	00	57
May	3	02	47	Nov.	9	15	43	May	15	20	15	Nov.	22	02	46
May	30	03	26	Dec.	6	16	19	Jun.	11	23	34	Dec.	19	08	24
Jun.	26	05	45					Jul.	9	05	41

Maximum declinations of the Moon 2157

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	22	05	59	+27.9	Jan.	9	10	50	−27.9
Feb.	18	11	19	+28.0	Feb.	5	20	47	−28.0
Mar.	17	17	28	+27.9	Mar.	5	05	36	−27.9
Apr.	14	01	28	+27.7	Apr.	1	12	16	−27.8
May	11	10	50	+27.5	Apr.	28	17	25	−27.6
Jun.	7	20	04	+27.4	May	25	22	40	−27.4
Jul.	5	03	55	+27.4	Jun.	22	05	18	−27.4
Aug.	1	10	09	+27.5	Jul.	19	13	37	−27.5
Aug.	28	15	34	+27.5	Aug.	15	22	43	−27.5
Sep.	24	21	35	+27.3	Sep.	12	07	09	−27.4
Oct.	22	05	22	+27.1	Oct.	9	13	49	−27.2
Nov.	18	15	04	+27.0	Nov.	5	18	59	−27.0
Dec.	16	01	21	+26.9	Dec.	3	00	07	−26.9
					Dec.	30	06	46	−26.9

Distance from the Earth to the Moon in 2157

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

Mercury 2157

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

Venus 2157

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

Mars 2157

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

Jupiter 2157

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

Saturn 2157

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

Uranus 2157

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

Neptune 2157

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

Planetary phenomena 2157

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2157

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation						Mar.	1	17	18°	−0.4	Jun.	26	18	25°	+0.6	Oct.	22	21	25°	−0.1
Stationary						Mar.	8	11			Jul.	10	18			Nov.	3	07
Inferior conjunction						Mar.	17	18			Jul.	24	08			Nov.	14	06
Stationary						Mar.	31	07			Aug.	3	23			Nov.	23	10
Greatest western elongation						Apr.	14	13	28°	+0.4	Aug.	12	15	19°	+0.1	Dec.	1	02	20°	−0.5
Superior conjunction	Feb.	1	22			May	24	03			Sep.	6	17

Venus 2157

		d	h		Mag
Superior conjunction	Feb.	12	18
Greatest eastern elongation	Sep.	19	10	46°	−4.4
Stationary	Nov.	8	03
Inferior conjunction	Nov.	28	16
Stationary	Dec.	19	05

Superior planets 2157

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars				Mar.	24	13	Apr.	30	09	−1.7	Jun.	9	16
Jupiter	Aug.	17	01	Dec.	30	02	Jan.	28	06	−2.6	Mar.	29	17
Saturn	Sep.	29	18	Jan.	12	11	Mar.	20	19	+0.6	May	29	07
Uranus	Dec.	29	09	Apr.	11	09	Jun.	27	01	+5.6	Sep.	12	01
Neptune	Jan.	9	06	Apr.	23	02	Jul.	12	05	+7.9	Sep.	30	12

Planets in perihelion and in aphelion 2157

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury					Jan.	14	0.46671	69.819
	Feb.	27	0.30749	46.000	Apr.	12	0.46671	69.819
	May	26	0.30749	46.000	Jul.	9	0.46671	69.819
	Aug.	22	0.30749	46.000	Oct.	5	0.46671	69.819
	Nov.	18	0.30749	46.000
Venus					Feb.	6	0.72819	108.936
	May	29	0.71847	107.481	Sep.	18	0.72818	108.935
Earth	Jan.	4	0.98339	147.113	Jul.	7	1.01664	152.088
Mars	Nov.	24	1.38096	206.589
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 2157

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

Magnitudes, phases and diameters of the planets in 2157

At 0:00 Universal Time

		Mercury				Venus				Mars			Jupiter			Saturn
		Mag	Phase	Diam		Mag	Phase	Diam		Mag	Diam		Mag	Diam		Mag	Diam
Jan.	0	−0.4	0.86	5		−3.9	0.98	10		+1.1	6		−2.5	45		+0.9	18	Jan.	0
	5	−0.4	0.90	5		−3.9	0.99	10		+1.0	6		−2.6	45		+0.9	18		5
	10	−0.5	0.93	5		−3.9	0.99	10		+1.0	6		−2.6	45		+0.9	18		10
	15	−0.6	0.96	5		−3.9	0.99	10		+0.9	7		−2.6	46		+0.8	18		15
	20	−0.7	0.98	5		−3.9	1.00	10		+0.8	7		−2.6	46		+0.8	19		20
	25	−1.0	0.99	5		−3.9	1.00	10		+0.7	7		−2.6	46		+0.8	19		25
	30	−1.2	1.00	5		−3.9	1.00	10		+0.6	8		−2.6	46		+0.8	19		30
Feb.	4	−1.4	1.00	5		−3.9	1.00	10		+0.5	8		−2.6	46		+0.7	19	Feb.	4
	9	−1.3	0.98	5		…	1.00	10		+0.4	8		−2.6	46		+0.7	19		9
	14	−1.2	0.95	5		…	1.00	10		+0.3	9		−2.6	45		+0.7	19		14
	19	−1.1	0.86	6		−3.9	1.00	10		+0.2	9		−2.6	45		+0.7	19		19
	24	−0.9	0.72	6		−3.9	1.00	10		+0.1	9		−2.5	45		+0.7	19		24
Mar.	1	−0.5	0.51	7		−3.9	1.00	10		0.0	10		−2.5	44		+0.6	20	Mar.	1
	6	+0.5	0.29	8		−3.9	1.00	10		−0.2	10		−2.5	44		+0.6	20		6
	11	+2.1	0.10	10		−3.9	0.99	10		−0.3	11		−2.4	43		+0.6	20		11
	16	+4.4	0.01	11		−3.9	0.99	10		−0.4	11		−2.4	43		+0.6	20		16
	21	+4.1	0.02	11		−3.9	0.99	10		−0.6	12		−2.4	42		+0.6	20		21
	26	+2.4	0.10	11		−3.9	0.98	10		−0.7	13		−2.3	41		+0.6	20		26
	31	+1.4	0.21	10		−3.9	0.98	10		−0.9	13		−2.3	41		+0.6	20		31
Apr.	5	+0.9	0.31	9		−3.9	0.98	10		−1.0	14		−2.3	40		+0.7	20	Apr.	5
	10	+0.6	0.40	8		−3.9	0.97	10		−1.2	15		−2.2	39		+0.7	20		10
	15	+0.4	0.49	8		−3.9	0.97	10		−1.3	15		−2.2	39		+0.7	19		15
	20	+0.2	0.56	7		−3.9	0.96	10		−1.5	16		−2.2	38		+0.8	19		20
	25	0.0	0.63	7		−3.9	0.95	10		−1.6	16		−2.1	38		+0.8	19		25
	30	−0.2	0.70	6		−3.9	0.95	11		−1.7	16		−2.1	37		+0.8	19		30
May	5	−0.4	0.77	6		−3.9	0.94	11		−1.7	16		−2.1	37		+0.9	19	May	5
	10	−0.7	0.85	5		−3.9	0.93	11		−1.6	16		−2.0	36		+0.9	19		10
	15	−1.2	0.92	5		−3.9	0.92	11		−1.6	16		−2.0	36		+0.9	19		15
	20	−1.7	0.98	5		−3.9	0.91	11		−1.5	16		−2.0	35		+1.0	19		20
	25	−2.2	1.00	5		−3.9	0.90	11		−1.4	16		−1.9	35		+1.0	18		25
	30	−1.6	0.96	5		−3.9	0.89	11		−1.3	15		−1.9	34		+1.0	18		30
Jun.	4	−1.1	0.86	5		−3.9	0.88	12		−1.2	15		−1.9	34		+1.0	18	Jun.	4
	9	−0.7	0.75	6		−3.9	0.86	12		−1.0	14		−1.9	33		+1.1	18		9
	14	−0.3	0.64	6		−3.9	0.85	12		−0.9	14		−1.9	33		+1.1	18		14
	19	+0.1	0.54	7		−3.9	0.84	12		−0.8	13		−1.8	33		+1.1	18		19
	24	+0.4	0.44	8		−3.9	0.82	13		−0.7	13		−1.8	32		+1.1	17		24
	29	+0.7	0.35	9		−4.0	0.81	13		−0.6	12		−1.8	32		+1.1	17		29
Jul.	4	+1.1	0.27	9		−4.0	0.79	13		−0.5	12		−1.8	32		+1.1	17	Jul.	4
	9	+1.7	0.18	10		−4.0	0.78	14		−0.4	11		−1.8	32		+1.1	17		9
	14	+2.5	0.10	11		−4.0	0.76	14		−0.4	11		−1.8	32		+1.1	17		14
	19	+3.8	0.04	12		−4.0	0.75	15		−0.3	11		−1.8	31		+1.1	17		19
	24	+4.8	0.01	12		−4.0	0.73	15		−0.2	10		−1.7	31		+1.1	17		24
	29	+3.7	0.04	11		−4.1	0.71	16		−0.1	10		−1.7	31		+1.1	17		29
Aug.	3	+2.2	0.12	10		−4.1	0.69	16		−0.1	10		−1.7	31		+1.1	16	Aug.	3
	8	+1.0	0.25	9		−4.1	0.67	17		0.0	9		−1.7	31		+1.1	16		8
	13	0.0	0.42	7		−4.2	0.65	17		0.0	9		−1.7	31		+1.1	16		13
	18	−0.6	0.61	6		−4.2	0.64	18		+0.1	9		−1.7	31		+1.1	16		18
	23	−1.1	0.79	6		−4.2	0.61	19		+0.2	9		−1.7	31		+1.1	16		23
	28	−1.4	0.92	5		−4.3	0.59	20		+0.2	8		−1.7	31		+1.1	16		28
Sep.	2	−1.6	0.98	5		−4.3	0.57	21		+0.3	8		−1.7	31		+1.0	16	Sep.	2
	7	−1.8	1.00	5		−4.4	0.55	22		+0.3	8		−1.7	31		+1.0	16		7
	12	−1.3	0.99	5		−4.4	0.52	23		+0.3	8		−1.7	31		+1.0	16		12
	17	−0.9	0.96	5		−4.4	0.50	24		+0.4	8		−1.7	31		+1.0	16		17
	22	−0.6	0.94	5		−4.5	0.47	26		+0.4	7		−1.8	32		+1.0	16		22
	27	−0.4	0.91	5		−4.6	0.45	27		+0.5	7		−1.8	32		+0.9	16		27
Oct.	2	−0.3	0.87	5		−4.6	0.42	29		+0.5	7		−1.8	32		+0.9	16	Oct.	2
	7	−0.2	0.83	5		−4.7	0.38	31		+0.5	7		−1.8	32		+0.9	16		7
	12	−0.1	0.78	6		−4.7	0.35	34		+0.6	7		−1.8	33		+0.9	16		12
	17	−0.1	0.72	6		−4.8	0.31	36		+0.6	7		−1.8	33		+0.9	16		17
	22	−0.1	0.64	7		−4.8	0.28	39		+0.6	7		−1.8	33		+0.9	16		22
	27	0.0	0.53	7		−4.8	0.23	42		+0.6	6		−1.9	34		+0.9	16		27
Nov.	1	+0.3	0.39	8		−4.8	0.19	46		+0.7	6		−1.9	34		+0.9	16	Nov.	1
	6	+1.1	0.21	9		−4.8	0.14	50		+0.7	6		−1.9	34		+0.9	16		6
	11	+3.3	0.04	10		−4.7	0.10	54		+0.7	6		−1.9	35		+0.9	16		11
	16	+4.2	0.01	10		−4.6	0.06	58		+0.8	6		−2.0	35		+0.9	16		16
	21	+1.2	0.18	9		−4.4	0.02	61		+0.8	6		−2.0	36		+0.9	16		21
	26	−0.1	0.41	8		…	0.00	63		+0.8	6		−2.0	36		+0.9	16		26
Dec.	1	−0.5	0.61	7		…	0.00	63		+0.8	6		−2.0	37		+0.9	17	Dec.	1
	6	−0.6	0.75	6		−4.3	0.02	62		+0.9	6		−2.1	37		+0.9	17		6
	11	−0.6	0.84	6		−4.6	0.05	59		+0.9	6		−2.1	38		+0.9	17		11
	16	−0.6	0.90	5		−4.7	0.09	55		+0.9	5		−2.1	38		+0.8	17		16
	21	−0.6	0.94	5		−4.8	0.14	51		+0.9	5		−2.2	39		+0.8	17		21
	26	−0.6	0.96	5		−4.9	0.19	47		+1.0	5		−2.2	40		+0.8	17		26
	31	−0.7	0.98	5		−4.9	0.23	43		+1.0	5		−2.2	40		+0.8	17		31
	36	−0.9	0.99	5		−4.9	0.28	40		+1.0	5		−2.3	41		+0.8	17		36

Declinations of the Sun, Moon and planets in 2157

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

Declinations of the Sun and planets in 2157

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

Declination of the Sun in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.4	−8.0	+4.2	+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	+18.0	+8.2	−3.2	−14.4	−21.8	1
2	−22.9	−16.8	−7.2	+4.9	+15.4	+22.2	+23.0	+17.7	+7.9	−3.6	−14.7	−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	+22.8	+16.9	+6.8	−4.8	−15.7	−22.3	5
6	−22.5	−15.6	−5.7	+6.5	+16.6	+22.6	+22.7	+16.6	+6.4	−5.1	−16.0	−22.5	6
7	−22.4	−15.3	−5.3	+6.8	+16.8	+22.7	+22.5	+16.4	+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	−14.7	−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	+8.3	+17.9	+23.1	+22.1	+15.2	+4.5	−7.0	−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	+3.4	−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	+10.1	+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	+21.2	+13.4	+2.2	−9.3	−19.0	−23.3	17
18	−20.5	−11.6	−0.9	+10.8	+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	−19.4	−23.4	19
20	−20.1	−10.9	−0.1	+11.5	+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	+12.1	+0.7	−10.7	−19.9	−23.4	21
22	−19.7	−10.2	+0.6	+12.2	+20.4	+23.4	+20.2	+11.7	+0.3	−11.1	−20.1	−23.4	22
23	−19.4	−9.8	+1.0	+12.6	+20.6	+23.4	+20.0	+11.4	−0.1	−11.4	−20.3	−23.4	23
24	−19.2	−9.4	+1.4	+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	+10.4	−1.3	−12.4	−20.9	−23.3	26
27	−18.4	−8.3	+2.6	+13.9	+21.3	+23.3	+19.2	+10.0	−1.7	−12.8	−21.1	−23.3	27
28	−18.2	−8.0	+3.0	+14.2	+21.5	+23.3	+18.9	+9.7	−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	−2.4	−13.5	−21.5	−23.2	29
30	−17.6	−7.2	+3.8	+14.8	+21.8	+23.1	+18.5	+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	+18.0	+8.2	−3.6	−14.4	−21.9	−23.0	32

Declination of the Moon in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+12.1	−8.1	−11.8	−26.2	−26.4	−10.0	+7.9	+25.8	+23.3	+11.0	−9.2	−21.3	0
1	+6.8	−13.2	−16.7	−27.6	−23.7	−3.7	+14.0	+27.4	+19.5	+5.7	−14.1	−24.3	1
2	+1.3	−18.0	−21.0	−27.6	−19.8	+2.8	+19.3	+27.2	+14.9	+0.2	−18.5	−26.2	2
3	−4.2	−22.1	−24.4	−26.1	−14.7	+9.3	+23.5	+25.5	+9.8	−5.2	−22.2	−26.9	3
4	−9.6	−25.3	−26.8	−23.1	−8.7	+15.3	+26.3	+22.5	+4.3	−10.5	−25.0	−26.2	4
5	−14.8	−27.4	−27.9	−18.6	−2.2	+20.5	+27.4	+18.3	−1.2	−15.3	−26.6	−24.2	5
6	−19.4	−27.9	−27.5	−13.1	+4.6	+24.5	+26.8	+13.5	−6.7	−19.6	−27.0	−20.9	6
7	−23.3	−26.8	−25.4	−6.6	+11.2	+26.8	+24.7	+8.2	−11.8	−23.1	−26.0	−16.5	7
8	−26.2	−24.0	−21.7	+0.3	+17.2	+27.4	+21.2	+2.7	−16.6	−25.6	−23.7	−11.3	8
9	−27.7	−19.6	−16.6	+7.3	+22.2	+26.2	+16.8	−2.9	−20.7	−27.0	−20.2	−5.4	9
10	−27.6	−13.8	−10.4	+13.9	+25.6	+23.6	+11.8	−8.3	−24.0	−27.1	−15.6	+0.8	10
11	−25.7	−7.3	−3.5	+19.6	+27.3	+19.8	+6.4	−13.3	−26.3	−25.8	−10.1	+7.2	11
12	−22.2	−0.3	+3.6	+24.0	+27.2	+15.2	+0.9	−17.9	−27.4	−23.2	−3.9	+13.2	12
13	−17.2	+6.6	+10.5	+26.7	+25.5	+10.1	−4.6	−21.9	−27.1	−19.2	+2.6	+18.7	13
14	−11.2	+13.1	+16.7	+27.7	+22.4	+4.7	−9.9	−24.9	−25.3	−14.1	+9.1	+23.0	14
15	−4.7	+18.7	+21.8	+27.0	+18.4	−0.8	−14.9	−26.9	−22.1	−8.1	+15.3	+25.9	15
16	+2.1	+23.2	+25.4	+24.8	+13.7	−6.2	−19.3	−27.5	−17.5	−1.6	+20.5	+26.9	16
17	+8.7	+26.3	+27.5	+21.4	+8.5	−11.4	−23.0	−26.6	−11.8	+5.3	+24.4	+26.1	17
18	+14.7	+27.8	+27.8	+17.2	+3.1	−16.3	−25.7	−24.2	−5.3	+11.9	+26.6	+23.6	18
19	+19.9	+27.7	+26.6	+12.4	−2.3	−20.5	−27.2	−20.3	+1.5	+17.9	+26.8	+19.8	19
20	+24.0	+26.2	+24.1	+7.2	−7.7	−24.0	−27.3	−15.2	+8.4	+22.6	+25.3	+15.0	20
21	+26.7	+23.4	+20.6	+1.7	−12.9	−26.3	−25.8	−9.1	+14.8	+25.8	+22.2	+9.8	21
22	+27.9	+19.6	+16.2	−3.7	−17.6	−27.4	−22.8	−2.4	+20.2	+27.1	+18.1	+4.3	22
23	+27.5	+15.0	+11.2	−9.1	−21.6	−26.9	−18.4	+4.5	+24.2	+26.6	+13.3	−1.2	23
24	+25.6	+9.9	+5.9	−14.2	−24.8	−24.9	−12.9	+11.0	+26.7	+24.5	+8.1	−6.6	24
25	+22.5	+4.5	+0.4	−18.7	−26.8	−21.5	−6.7	+16.9	+27.3	+21.2	+2.7	−11.7	25
26	+18.4	−1.0	−5.1	−22.6	−27.4	−16.8	−0.1	+21.8	+26.4	+16.9	−2.7	−16.3	26
27	+13.7	−6.5	−10.4	−25.5	−26.6	−11.2	+6.5	+25.2	+23.9	+12.1	−8.0	−20.4	27
28	+8.4	−11.8	−15.4	−27.2	−24.2	−5.0	+12.8	+27.1	+20.4	+6.8	−13.0	−23.6	28
29	+2.9	−16.7	−19.8	−27.5	−20.5	+1.5	+18.3	+27.4	+16.0	+1.4	−17.5	−25.8	29
30	−2.6	−21.0	−23.5	−26.4	−15.7	+7.9	+22.7	+26.0	+11.0	−4.0	−21.3	−26.9	30
31	−8.1	−24.4	−26.2	−23.7	−10.0	+14.0	+25.8	+23.3	+5.7	−9.2	−24.3	−26.5	31
32	−13.2	−26.8	−27.6	−19.8	−3.7	+19.3	+27.4	+19.5	+0.2	−14.1	−26.2	−24.8	32

Declination of Mercury in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−22.6	−19.7	+0.1	−3.7	+4.3	+24.3	+19.2	+16.2	+12.6	−10.0	−23.1	−14.9	0
1	−22.8	−19.3	+0.8	−3.9	+4.9	+24.6	+18.8	+16.4	+11.9	−10.6	−23.1	−15.2	1
2	−23.0	−18.8	+1.4	−4.1	+5.6	+24.9	+18.4	+16.7	+11.2	−11.3	−23.0	−15.5	2
3	−23.2	−18.3	+1.9	−4.2	+6.2	+25.1	+18.1	+16.9	+10.5	−11.9	−23.0	−15.9	3
4	−23.4	−17.7	+2.5	−4.3	+6.9	+25.2	+17.7	+17.1	+9.8	−12.6	−22.8	−16.3	4
5	−23.5	−17.2	+2.9	−4.4	+7.6	+25.3	+17.3	+17.4	+9.0	−13.2	−22.7	−16.7	5
6	−23.6	−16.6	+3.3	−4.4	+8.3	+25.4	+17.0	+17.6	+8.2	−13.8	−22.4	−17.1	6
7	−23.7	−16.0	+3.6	−4.4	+9.0	+25.4	+16.7	+17.8	+7.5	−14.4	−22.1	−17.5	7
8	−23.8	−15.3	+3.8	−4.3	+9.7	+25.4	+16.4	+18.0	+6.7	−15.0	−21.7	−17.9	8
9	−23.9	−14.7	+4.0	−4.2	+10.4	+25.4	+16.1	+18.1	+5.9	−15.5	−21.3	−18.3	9
10	−23.9	−14.0	+4.1	−4.1	+11.2	+25.3	+15.8	+18.3	+5.1	−16.1	−20.8	−18.7	10
11	−24.0	−13.3	+4.1	−3.9	+11.9	+25.2	+15.6	+18.4	+4.3	−16.6	−20.3	−19.1	11
12	−24.0	−12.6	+4.0	−3.7	+12.6	+25.0	+15.3	+18.5	+3.5	−17.1	−19.7	−19.5	12
13	−24.0	−11.9	+3.8	−3.5	+13.4	+24.8	+15.1	+18.6	+2.7	−17.6	−19.0	−19.9	13
14	−23.9	−11.1	+3.6	−3.2	+14.1	+24.6	+15.0	+18.6	+1.9	−18.1	−18.3	−20.3	14
15	−23.9	−10.3	+3.3	−2.9	+14.9	+24.4	+14.8	+18.6	+1.1	−18.6	−17.7	−20.7	15
16	−23.8	−9.5	+2.9	−2.6	+15.6	+24.1	+14.7	+18.5	+0.3	−19.0	−17.0	−21.0	16
17	−23.7	−8.7	+2.5	−2.2	+16.4	+23.9	+14.6	+18.5	−0.4	−19.5	−16.4	−21.4	17
18	−23.5	−7.9	+2.0	−1.9	+17.1	+23.6	+14.6	+18.3	−1.2	−19.9	−15.8	−21.7	18
19	−23.4	−7.1	+1.5	−1.5	+17.8	+23.3	+14.5	+18.1	−2.0	−20.3	−15.3	−22.0	19
20	−23.2	−6.2	+1.0	−1.1	+18.5	+22.9	+14.5	+17.9	−2.7	−20.7	−14.9	−22.3	20
21	−23.0	−5.4	+0.5	−0.6	+19.2	+22.6	+14.6	+17.6	−3.5	−21.0	−14.5	−22.6	21
22	−22.8	−4.6	0.0	−0.2	+19.8	+22.2	+14.6	+17.3	−4.3	−21.3	−14.2	−22.9	22
23	−22.6	−3.8	−0.6	+0.3	+20.5	+21.9	+14.7	+17.0	−5.0	−21.6	−14.1	−23.1	23
24	−22.3	−2.9	−1.1	+0.8	+21.1	+21.5	+14.8	+16.6	−5.7	−21.9	−14.0	−23.3	24
25	−22.0	−2.1	−1.5	+1.4	+21.7	+21.1	+15.0	+16.1	−6.5	−22.2	−14.0	−23.5	25
26	−21.7	−1.4	−2.0	+1.9	+22.2	+20.7	+15.1	+15.6	−7.2	−22.4	−14.0	−23.7	26
27	−21.3	−0.6	−2.4	+2.5	+22.7	+20.3	+15.3	+15.1	−7.9	−22.6	−14.2	−23.9	27
28	−21.0	+0.1	−2.8	+3.1	+23.2	+20.0	+15.5	+14.5	−8.6	−22.8	−14.3	−24.1	28
29	−20.6	+0.8	−3.1	+3.7	+23.6	+19.6	+15.7	+13.9	−9.3	−22.9	−14.6	−24.2	29
30	−20.2	+1.4	−3.5	+4.3	+24.0	+19.2	+16.0	+13.3	−10.0	−23.0	−14.9	−24.3	30
31	−19.7	+1.9	−3.7	+4.9	+24.3	+18.8	+16.2	+12.6	−10.6	−23.1	−15.2	−24.4	31
32	−19.3	+2.5	−3.9	+5.6	+24.6	+18.4	+16.4	+11.9	−11.3	−23.1	−15.5	−24.4	32

Declination of Venus in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.3	−19.2	−7.9	+7.7	+20.1	+24.7	+18.8	+5.3	−10.2	−22.4	−27.9	−22.7	0
1	−23.4	−18.9	−7.4	+8.2	+20.4	+24.6	+18.4	+4.8	−10.7	−22.7	−27.9	−22.4	1
2	−23.4	−18.6	−6.9	+8.6	+20.7	+24.6	+18.1	+4.3	−11.2	−23.0	−28.0	−22.0	2
3	−23.4	−18.3	−6.4	+9.1	+21.0	+24.5	+17.7	+3.8	−11.7	−23.3	−28.0	−21.7	3
4	−23.4	−17.9	−5.9	+9.6	+21.3	+24.4	+17.3	+3.3	−12.1	−23.6	−27.9	−21.3	4
5	−23.4	−17.6	−5.4	+10.1	+21.5	+24.4	+16.9	+2.8	−12.6	−23.8	−27.9	−20.9	5
6	−23.4	−17.2	−4.9	+10.5	+21.8	+24.3	+16.6	+2.3	−13.0	−24.1	−27.9	−20.6	6
7	−23.4	−16.9	−4.4	+11.0	+22.1	+24.2	+16.2	+1.7	−13.5	−24.4	−27.8	−20.2	7
8	−23.3	−16.5	−3.9	+11.5	+22.3	+24.0	+15.8	+1.2	−13.9	−24.6	−27.8	−19.9	8
9	−23.3	−16.1	−3.4	+11.9	+22.5	+23.9	+15.4	+0.7	−14.4	−24.8	−27.7	−19.6	9
10	−23.2	−15.8	−2.9	+12.4	+22.7	+23.8	+15.0	+0.2	−14.8	−25.1	−27.6	−19.3	10
11	−23.1	−15.4	−2.4	+12.8	+22.9	+23.6	+14.5	−0.3	−15.2	−25.3	−27.5	−19.0	11
12	−23.0	−15.0	−1.9	+13.3	+23.1	+23.4	+14.1	−0.8	−15.7	−25.5	−27.4	−18.7	12
13	−22.9	−14.6	−1.4	+13.7	+23.3	+23.3	+13.7	−1.3	−16.1	−25.7	−27.3	−18.4	13
14	−22.8	−14.2	−0.9	+14.1	+23.5	+23.1	+13.3	−1.8	−16.5	−25.9	−27.1	−18.2	14
15	−22.7	−13.7	−0.4	+14.6	+23.7	+22.9	+12.8	−2.3	−16.9	−26.1	−27.0	−18.0	15
16	−22.6	−13.3	+0.1	+15.0	+23.8	+22.7	+12.4	−2.8	−17.3	−26.3	−26.8	−17.7	16
17	−22.4	−12.9	+0.6	+15.4	+23.9	+22.5	+11.9	−3.3	−17.7	−26.5	−26.6	−17.5	17
18	−22.3	−12.5	+1.1	+15.8	+24.1	+22.2	+11.5	−3.8	−18.1	−26.6	−26.4	−17.4	18
19	−22.1	−12.0	+1.6	+16.2	+24.2	+22.0	+11.0	−4.3	−18.5	−26.8	−26.1	−17.2	19
20	−21.9	−11.6	+2.2	+16.6	+24.3	+21.7	+10.6	−4.8	−18.9	−26.9	−25.9	−17.1	20
21	−21.7	−11.1	+2.7	+17.0	+24.4	+21.5	+10.1	−5.3	−19.3	−27.1	−25.6	−16.9	21
22	−21.5	−10.7	+3.2	+17.4	+24.5	+21.2	+9.6	−5.8	−19.7	−27.2	−25.4	−16.8	22
23	−21.3	−10.2	+3.7	+17.7	+24.5	+20.9	+9.2	−6.3	−20.0	−27.3	−25.1	−16.7	23
24	−21.1	−9.8	+4.2	+18.1	+24.6	+20.7	+8.7	−6.8	−20.4	−27.4	−24.8	−16.6	24
25	−20.8	−9.3	+4.7	+18.5	+24.6	+20.4	+8.2	−7.3	−20.7	−27.5	−24.5	−16.6	25
26	−20.6	−8.8	+5.2	+18.8	+24.7	+20.1	+7.7	−7.8	−21.1	−27.6	−24.1	−16.5	26
27	−20.3	−8.4	+5.7	+19.1	+24.7	+19.7	+7.2	−8.3	−21.4	−27.7	−23.8	−16.5	27
28	−20.1	−7.9	+6.2	+19.5	+24.7	+19.4	+6.7	−8.8	−21.7	−27.8	−23.5	−16.4	28
29	−19.8	−7.4	+6.7	+19.8	+24.7	+19.1	+6.3	−9.3	−22.1	−27.8	−23.1	−16.4	29
30	−19.5	−6.9	+7.2	+20.1	+24.7	+18.8	+5.8	−9.8	−22.4	−27.9	−22.7	−16.4	30
31	−19.2	−6.4	+7.7	+20.4	+24.7	+18.4	+5.3	−10.2	−22.7	−27.9	−22.4	−16.4	31
32	−18.9	−5.9	+8.2	+20.7	+24.6	+18.1	+4.8	−10.7	−23.0	−27.9	−22.0	−16.5	32

Declination of Mars in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−6.5	−11.5	−14.4	−15.5	−14.1	−12.3	−13.8	−17.9	−22.3	−25.0	−24.5	−20.3	0
1	−6.7	−11.7	−14.5	−15.5	−14.0	−12.3	−13.9	−18.0	−22.5	−25.1	−24.4	−20.1	1
2	−6.9	−11.8	−14.6	−15.5	−13.9	−12.3	−14.0	−18.2	−22.6	−25.1	−24.3	−19.9	2
3	−7.1	−11.9	−14.7	−15.5	−13.8	−12.3	−14.1	−18.3	−22.7	−25.1	−24.3	−19.7	3
4	−7.3	−12.1	−14.7	−15.4	−13.8	−12.3	−14.2	−18.5	−22.8	−25.2	−24.2	−19.4	4
5	−7.5	−12.2	−14.8	−15.4	−13.7	−12.3	−14.3	−18.6	−22.9	−25.2	−24.1	−19.2	5
6	−7.6	−12.3	−14.8	−15.4	−13.6	−12.3	−14.5	−18.8	−23.1	−25.2	−24.0	−19.0	6
7	−7.8	−12.4	−14.9	−15.4	−13.5	−12.4	−14.6	−18.9	−23.2	−25.2	−23.9	−18.8	7
8	−8.0	−12.5	−15.0	−15.3	−13.5	−12.4	−14.7	−19.1	−23.3	−25.3	−23.7	−18.6	8
9	−8.2	−12.7	−15.0	−15.3	−13.4	−12.4	−14.8	−19.2	−23.4	−25.3	−23.6	−18.3	9
10	−8.3	−12.8	−15.1	−15.3	−13.3	−12.4	−14.9	−19.4	−23.5	−25.3	−23.5	−18.1	10
11	−8.5	−12.9	−15.1	−15.2	−13.2	−12.5	−15.1	−19.5	−23.6	−25.3	−23.4	−17.9	11
12	−8.7	−13.0	−15.1	−15.2	−13.2	−12.5	−15.2	−19.7	−23.7	−25.3	−23.3	−17.6	12
13	−8.8	−13.1	−15.2	−15.2	−13.1	−12.5	−15.3	−19.8	−23.8	−25.3	−23.1	−17.4	13
14	−9.0	−13.2	−15.2	−15.1	−13.0	−12.6	−15.5	−20.0	−23.9	−25.3	−23.0	−17.2	14
15	−9.2	−13.3	−15.3	−15.1	−13.0	−12.6	−15.6	−20.1	−24.0	−25.3	−22.8	−16.9	15
16	−9.3	−13.4	−15.3	−15.0	−12.9	−12.7	−15.7	−20.3	−24.1	−25.2	−22.7	−16.7	16
17	−9.5	−13.5	−15.3	−15.0	−12.8	−12.8	−15.9	−20.4	−24.2	−25.2	−22.5	−16.4	17
18	−9.6	−13.6	−15.4	−14.9	−12.8	−12.8	−16.0	−20.6	−24.2	−25.2	−22.4	−16.2	18
19	−9.8	−13.7	−15.4	−14.8	−12.7	−12.9	−16.1	−20.7	−24.3	−25.2	−22.2	−15.9	19
20	−10.0	−13.8	−15.4	−14.8	−12.7	−12.9	−16.3	−20.9	−24.4	−25.1	−22.1	−15.6	20
21	−10.1	−13.9	−15.4	−14.7	−12.6	−13.0	−16.4	−21.0	−24.5	−25.1	−21.9	−15.4	21
22	−10.3	−14.0	−15.4	−14.7	−12.6	−13.1	−16.6	−21.1	−24.6	−25.1	−21.7	−15.1	22
23	−10.4	−14.1	−15.5	−14.6	−12.5	−13.2	−16.7	−21.3	−24.6	−25.0	−21.6	−14.9	23
24	−10.6	−14.1	−15.5	−14.5	−12.5	−13.3	−16.9	−21.4	−24.7	−25.0	−21.4	−14.6	24
25	−10.7	−14.2	−15.5	−14.4	−12.5	−13.3	−17.0	−21.5	−24.8	−24.9	−21.2	−14.3	25
26	−10.9	−14.3	−15.5	−14.4	−12.4	−13.4	−17.1	−21.7	−24.8	−24.9	−21.0	−14.0	26
27	−11.0	−14.4	−15.5	−14.3	−12.4	−13.5	−17.3	−21.8	−24.9	−24.8	−20.8	−13.8	27
28	−11.1	−14.4	−15.5	−14.2	−12.4	−13.6	−17.4	−21.9	−24.9	−24.7	−20.7	−13.5	28
29	−11.3	−14.5	−15.5	−14.2	−12.4	−13.7	−17.6	−22.1	−25.0	−24.7	−20.5	−13.2	29
30	−11.4	−14.6	−15.5	−14.1	−12.3	−13.8	−17.7	−22.2	−25.0	−24.6	−20.3	−12.9	30
31	−11.5	−14.7	−15.5	−14.0	−12.3	−13.9	−17.9	−22.3	−25.1	−24.5	−20.1	−12.6	31
32	−11.7	−14.7	−15.5	−13.9	−12.3	−14.0	−18.0	−22.5	−25.1	−24.4	−19.9	−12.4	32

Declination of Jupiter in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+17.8	+18.9	+19.8	+20.1	+19.7	+18.7	+17.2	+15.2	+13.0	+10.9	+8.9	+7.5	0
1	+17.8	+18.9	+19.8	+20.1	+19.7	+18.7	+17.1	+15.2	+13.0	+10.8	+8.8	+7.5	1
2	+17.9	+19.0	+19.8	+20.1	+19.7	+18.6	+17.1	+15.1	+12.9	+10.7	+8.8	+7.5	2
3	+17.9	+19.0	+19.8	+20.1	+19.6	+18.6	+17.0	+15.0	+12.8	+10.6	+8.7	+7.4	3
4	+17.9	+19.0	+19.8	+20.1	+19.6	+18.5	+17.0	+15.0	+12.7	+10.6	+8.6	+7.4	4
5	+18.0	+19.1	+19.9	+20.1	+19.6	+18.5	+16.9	+14.9	+12.7	+10.5	+8.6	+7.4	5
6	+18.0	+19.1	+19.9	+20.1	+19.6	+18.4	+16.9	+14.8	+12.6	+10.4	+8.5	+7.4	6
7	+18.0	+19.2	+19.9	+20.1	+19.5	+18.4	+16.8	+14.8	+12.5	+10.4	+8.5	+7.3	7
8	+18.1	+19.2	+19.9	+20.0	+19.5	+18.3	+16.7	+14.7	+12.4	+10.3	+8.4	+7.3	8
9	+18.1	+19.2	+19.9	+20.0	+19.5	+18.3	+16.7	+14.6	+12.4	+10.2	+8.4	+7.3	9
10	+18.1	+19.3	+19.9	+20.0	+19.4	+18.2	+16.6	+14.6	+12.3	+10.2	+8.3	+7.3	10
11	+18.2	+19.3	+20.0	+20.0	+19.4	+18.2	+16.5	+14.5	+12.2	+10.1	+8.3	+7.2	11
12	+18.2	+19.3	+20.0	+20.0	+19.4	+18.2	+16.5	+14.4	+12.2	+10.0	+8.2	+7.2	12
13	+18.2	+19.4	+20.0	+20.0	+19.4	+18.1	+16.4	+14.3	+12.1	+10.0	+8.2	+7.2	13
14	+18.3	+19.4	+20.0	+20.0	+19.3	+18.1	+16.4	+14.3	+12.0	+9.9	+8.1	+7.2	14
15	+18.3	+19.4	+20.0	+20.0	+19.3	+18.0	+16.3	+14.2	+11.9	+9.8	+8.1	+7.2	15
16	+18.3	+19.4	+20.0	+20.0	+19.3	+18.0	+16.2	+14.1	+11.9	+9.8	+8.1	+7.2	16
17	+18.4	+19.5	+20.0	+19.9	+19.2	+17.9	+16.2	+14.1	+11.8	+9.7	+8.0	+7.1	17
18	+18.4	+19.5	+20.0	+19.9	+19.2	+17.9	+16.1	+14.0	+11.7	+9.6	+8.0	+7.1	18
19	+18.5	+19.5	+20.0	+19.9	+19.2	+17.8	+16.0	+13.9	+11.6	+9.6	+7.9	+7.1	19
20	+18.5	+19.6	+20.1	+19.9	+19.1	+17.8	+16.0	+13.8	+11.6	+9.5	+7.9	+7.1	20
21	+18.5	+19.6	+20.1	+19.9	+19.1	+17.7	+15.9	+13.8	+11.5	+9.5	+7.8	+7.1	21
22	+18.6	+19.6	+20.1	+19.9	+19.0	+17.6	+15.8	+13.7	+11.4	+9.4	+7.8	+7.1	22
23	+18.6	+19.6	+20.1	+19.9	+19.0	+17.6	+15.8	+13.6	+11.4	+9.3	+7.8	+7.1	23
24	+18.6	+19.7	+20.1	+19.8	+19.0	+17.5	+15.7	+13.5	+11.3	+9.3	+7.7	+7.1	24
25	+18.7	+19.7	+20.1	+19.8	+18.9	+17.5	+15.7	+13.5	+11.2	+9.2	+7.7	+7.1	25
26	+18.7	+19.7	+20.1	+19.8	+18.9	+17.4	+15.6	+13.4	+11.1	+9.2	+7.7	+7.1	26
27	+18.8	+19.7	+20.1	+19.8	+18.9	+17.4	+15.5	+13.3	+11.1	+9.1	+7.6	+7.1	27
28	+18.8	+19.8	+20.1	+19.8	+18.8	+17.3	+15.4	+13.3	+11.0	+9.0	+7.6	+7.1	28
29	+18.8	+19.8	+20.1	+19.7	+18.8	+17.3	+15.4	+13.2	+10.9	+9.0	+7.6	+7.1	29
30	+18.9	+19.8	+20.1	+19.7	+18.7	+17.2	+15.3	+13.1	+10.9	+8.9	+7.5	+7.1	30
31	+18.9	+19.8	+20.1	+19.7	+18.7	+17.1	+15.2	+13.0	+10.8	+8.9	+7.5	+7.1	31
32	+18.9	+19.8	+20.1	+19.7	+18.7	+17.1	+15.2	+13.0	+10.7	+8.8	+7.5	+7.1	32

Declination of Saturn in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+0.6	+0.8	+1.5	+2.5	+3.2	+3.4	+3.0	+2.0	+0.7	−0.8	−2.2	−3.4	0
10	+0.6	+1.0	+1.8	+2.8	+3.3	+3.3	+2.7	+1.6	+0.2	−1.3	−2.6	−3.6	10
20	+0.7	+1.3	+2.1	+3.0	+3.4	+3.2	+2.4	+1.2	−0.3	−1.7	−3.0	−3.9	20
30	+0.8	+1.6	+2.4	+3.2	+3.4	+3.0	+2.0	+0.7	−0.8	−2.2	−3.4	−4.0	30
40	+1.0	+1.9	+2.7	+3.3	+3.3	+2.7	+1.6	+0.2	−1.3	−2.6	−3.6	−4.1	40

Declination of Uranus in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.6	−23.5	−23.5	−23.5	−23.5	−23.5	−23.6	−23.6	−23.7	−23.7	−23.6	−23.6	0
10	−23.6	−23.5	−23.5	−23.5	−23.5	−23.6	−23.6	−23.7	−23.7	−23.6	−23.6	−23.5	10
20	−23.6	−23.5	−23.5	−23.5	−23.5	−23.6	−23.6	−23.7	−23.7	−23.6	−23.6	−23.5	20
30	−23.5	−23.5	−23.5	−23.5	−23.5	−23.6	−23.6	−23.7	−23.7	−23.6	−23.6	−23.5	30
40	−23.5	−23.5	−23.5	−23.5	−23.6	−23.6	−23.7	−23.7	−23.6	−23.6	−23.5	−23.4	40

Declination of Neptune in 2157

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−21.4	−21.2	−21.1	−21.0	−21.0	−21.0	−21.1	−21.3	−21.4	−21.4	−21.4	−21.3	0
10	−21.4	−21.2	−21.1	−21.0	−21.0	−21.1	−21.2	−21.3	−21.4	−21.4	−21.4	−21.3	10
20	−21.3	−21.1	−21.0	−21.0	−21.0	−21.1	−21.2	−21.3	−21.4	−21.4	−21.3	−21.2	20
30	−21.2	−21.1	−21.0	−21.0	−21.0	−21.1	−21.3	−21.4	−21.4	−21.4	−21.3	−21.2	30
40	−21.2	−21.1	−21.0	−21.0	−21.1	−21.2	−21.3	−21.4	−21.4	−21.4	−21.3	−21.1	40

Meridian passages of the planets in 2157

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

Rings of Saturn in 2157

Distances from Earth to Mercury, Venus and Mars 2157

Nutation in obliquity 2157

Heliocentric positions of the planets in their orbits 2157

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

Heliocentric positions of the planets in their orbits 2157 January

Heliocentric positions of the planets in their orbits 2157 February

Heliocentric positions of the planets in their orbits 2157 March

Heliocentric positions of the planets in their orbits 2157 April

Heliocentric positions of the planets in their orbits 2157 May

Heliocentric positions of the planets in their orbits 2157 June

Heliocentric positions of the planets in their orbits 2157 July

Heliocentric positions of the planets in their orbits 2157 August

Heliocentric positions of the planets in their orbits 2157 September

Heliocentric positions of the planets in their orbits 2157 October

Heliocentric positions of the planets in their orbits 2157 November

Heliocentric positions of the planets in their orbits 2157 December

Heliocentric positions of the planets in their orbits 2157

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.
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• 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 +343 seconds.