Almanac 2082

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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 2082

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 2082

		d	h			d	h	m		d	h	m
Perigee:	Jan.	5	13	Equinoxes:	Mar.	20	04	31	Sep.	22	13	23
Apogee:	Jul.	4	16	Solstices:	Jun.	20	21	03	Dec.	21	11	05

Phases of the Moon 2082

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
				Jan.	7	04	45	Jan.	14	18	17	Jan.	21	12	15
Jan.	28	20	53	Feb.	6	01	34	Feb.	13	06	22	Feb.	19	21	35
Feb.	27	14	55	Mar.	7	19	15	Mar.	14	16	51	Mar.	21	08	37
Mar.	29	09	11	Apr.	6	09	02	Apr.	13	01	51	Apr.	19	21	46
Apr.	28	02	08	May	5	19	04	May	12	09	56	May	19	12	58
May	27	16	53	Jun.	4	02	01	Jun.	10	18	01	Jun.	18	05	39
Jun.	26	05	22	Jul.	3	06	59	Jul.	10	03	16	Jul.	17	22	58
Jul.	25	16	00	Aug.	1	11	21	Aug.	8	14	39	Aug.	16	16	07
Aug.	24	01	24	Aug.	30	16	42	Sep.	7	04	36	Sep.	15	08	29
Sep.	22	10	10	Sep.	29	00	34	Oct.	6	20	54	Oct.	14	23	32
Oct.	21	18	56	Oct.	28	12	13	Nov.	5	14	44	Nov.	13	12	46
Nov.	20	04	25	Nov.	27	04	07	Dec.	5	09	03	Dec.	12	23	52
Dec.	19	15	17	Dec.	26	23	37

Apsides of the Moon 2082

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
					Jan.	5	22	404 472	63.415
Jan.	17	17	365 689	57.335	Feb.	2	18	405 314	63.547
Feb.	14	18	360 320	56.493	Mar.	2	08	406 191	63.685
Mar.	15	04	357 172	55.999	Mar.	29	11	406 576	63.745
Apr.	12	16	357 103	55.989	Apr.	25	16	406 315	63.704
May	11	01	359 929	56.432	May	23	05	405 424	63.565
Jun.	8	00	364 649	57.172	Jun.	19	22	404 481	63.417
Jul.	4	20	369 134	57.875	Jul.	17	16	404 167	63.368
Jul.	30	00	368 195	57.728	Aug.	14	11	404 703	63.452
Aug.	26	08	363 289	56.959	Sep.	11	04	405 685	63.605
Sep.	23	11	358 904	56.271	Oct.	8	14	406 380	63.715
Oct.	21	22	356 830	55.946	Nov.	4	15	406 428	63.722
Nov.	19	10	357 889	56.112	Dec.	1	21	405 909	63.641
Dec.	17	18	361 975	56.752	Dec.	29	14	405 039	63.504

Passages of the Moon through the nodes 2082

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	3	19	50	Jul.	13	02	52	Jan.	17	15	30	Jul.	27	09	03
Jan.	31	01	21	Aug.	9	10	21	Feb.	14	00	16	Aug.	23	18	03
Feb.	27	08	12	Sep.	5	17	30	Mar.	13	11	29	Sep.	20	04	03
Mar.	26	13	53	Oct.	2	22	04	Apr.	9	20	42	Oct.	17	11	27
Apr.	22	17	01	Oct.	29	23	41	May	7	01	11	Nov.	13	14	11
May	19	18	37	Nov.	26	01	00	Jun.	3	02	07	Dec.	10	14	38
Jun.	15	21	22	Dec.	23	05	40	Jun.	30	03	42

Maximum declinations of the Moon 2082

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	12	16	50	+28.2	Jan.	25	12	09	−28.2
Feb.	9	02	32	+28.3	Feb.	21	17	28	−28.3
Mar.	8	11	15	+28.3	Mar.	20	23	37	−28.2
Apr.	4	18	01	+28.2	Apr.	17	07	41	−28.1
May	1	23	19	+28.0	May	14	17	08	−27.9
May	29	04	32	+27.8	Jun.	11	02	28	−27.8
Jun.	25	10	56	+27.8	Jul.	8	10	27	−27.9
Jul.	22	18	53	+27.9	Aug.	4	16	48	−27.9
Aug.	19	03	43	+27.9	Aug.	31	22	19	−27.9
Sep.	15	12	02	+27.9	Sep.	28	04	24	−27.8
Oct.	12	18	48	+27.7	Oct.	25	12	17	−27.6
Nov.	9	00	07	+27.5	Nov.	21	22	03	−27.5
Dec.	6	05	18	+27.4	Dec.	19	08	20	−27.4

Distance from the Earth to the Moon in 2082

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

Mercury 2082

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

Venus 2082

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

Mars 2082

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

Jupiter 2082

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

Saturn 2082

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

Uranus 2082

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

Neptune 2082

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

Planetary phenomena 2082

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 2082

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation						Apr.	15	02	20°	+0.1	Aug.	13	08	27°	+0.4	Dec.	7	19	21°	−0.4
Stationary	Jan.	1	09			Apr.	24	20			Aug.	27	01			Dec.	16	07
Inferior conjunction	Jan.	10	12			May	5	13			Sep.	9	15			Dec.	25	17
Stationary	Jan.	21	15			May	18	15			Sep.	18	23
Greatest western elongation	Feb.	2	12	25°	−0.1	Jun.	1	15	25°	+0.6	Sep.	25	14	18°	−0.4
Superior conjunction	Mar.	20	13			Jul.	4	03			Oct.	23	17

Venus 2082

		d	h		Mag
Greatest eastern elongation	Jul.	29	07	46°	−4.3
Stationary	Sep.	16	03
Inferior conjunction	Oct.	7	03
Stationary	Oct.	28	05
Greatest western elongation	Dec.	17	22	47°	−4.4

Superior planets 2082

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars				Aug.	2	02	Sep.	1	16	−2.9	Oct.	1	05
Jupiter	Mar.	31	06	Aug.	24	01	Oct.	22	19	−2.9	Dec.	19	16
Saturn	Feb.	18	03	Jun.	19	02	Aug.	28	20	+0.4	Nov.	5	17
Uranus	Jan.	29	09	May	18	03	Aug.	3	21	+5.7	Oct.	19	10
Neptune	Jul.	30	02	Nov.	11	18	Jan.	25	21	+7.8	Apr.	14	20

Planets in perihelion and in aphelion 2082

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury	Jan.	5	0.30749	46.000	Feb.	18	0.46671	69.818
	Apr.	3	0.30749	46.000	May	17	0.46671	69.818
	Jun.	30	0.30749	46.000	Aug.	13	0.46670	69.818
	Sep.	26	0.30750	46.001	Nov.	9	0.46670	69.818
	Dec.	23	0.30749	46.000
Venus					Jan.	16	0.72823	108.941
	May	8	0.71844	107.477	Aug.	29	0.72822	108.940
	Dec.	19	0.71848	107.483
Earth	Jan.	5	0.98336	147.109	Jul.	4	1.01665	152.089
Mars	Aug.	29	1.38130	206.639
Jupiter	May	15	4.95052	740.587
Saturn: None this year
Uranus: None this year

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

Magnitudes of the planets in 2082

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

Magnitudes, phases and diameters of the planets in 2082

At 0:00 Universal Time

		Mercury				Venus				Mars			Jupiter			Saturn
		Mag	Phase	Diam		Mag	Phase	Diam		Mag	Diam		Mag	Diam		Mag	Diam
Jan.	0	+0.1	0.35	8		−3.9	1.00	10		+1.5	5		−2.3	38		+0.8	16	Jan.	0
	5	+1.8	0.12	9		−3.9	1.00	10		+1.5	5		−2.3	38		+0.8	16		5
	10	…	0.01	10		−3.9	1.00	10		+1.5	5		−2.2	37		+0.8	16		10
	15	+2.4	0.08	10		−3.9	0.99	10		+1.4	5		−2.2	37		+0.8	16		15
	20	+0.8	0.25	9		−3.9	0.99	10		+1.4	5		−2.2	36		+0.8	16		20
	25	+0.2	0.42	8		−3.9	0.99	10		+1.3	5		−2.2	36		+0.8	16		25
	30	0.0	0.55	7		−3.9	0.99	10		+1.3	5		−2.2	35		+0.8	15		30
Feb.	4	−0.1	0.65	7		−3.9	0.98	10		+1.3	5		−2.1	35		+0.8	15	Feb.	4
	9	−0.1	0.72	6		−3.9	0.98	10		+1.2	5		−2.1	35		+0.8	15		9
	14	−0.1	0.78	6		−3.9	0.97	10		+1.1	6		−2.1	34		+0.8	15		14
	19	−0.2	0.83	5		−3.9	0.97	10		+1.1	6		−2.1	34		+0.8	15		19
	24	−0.3	0.87	5		−3.9	0.96	10		+1.0	6		−2.1	34		+0.8	15		24
Mar.	1	−0.4	0.90	5		−3.9	0.96	10		+1.0	6		−2.1	34		+0.9	15	Mar.	1
	6	−0.7	0.93	5		−3.9	0.95	11		+0.9	6		−2.1	34		+0.9	15		6
	11	−1.0	0.96	5		−3.9	0.94	11		+0.8	6		−2.1	33		+0.9	16		11
	16	−1.4	0.99	5		−3.9	0.94	11		+0.8	7		−2.1	33		+0.9	16		16
	21	−1.9	1.00	5		−3.9	0.93	11		+0.7	7		−2.1	33		+0.9	16		21
	26	−1.7	0.98	5		−3.9	0.92	11		+0.6	7		−2.1	33		+1.0	16		26
	31	−1.4	0.90	5		−3.9	0.91	11		+0.6	7		−2.1	33		+1.0	16		31
Apr.	5	−1.0	0.76	6		−3.9	0.90	11		+0.5	8		−2.1	33		+1.0	16	Apr.	5
	10	−0.5	0.58	7		−3.9	0.89	12		+0.4	8		−2.0	33		+1.0	16		10
	15	+0.1	0.40	8		−3.9	0.88	12		+0.3	8		−2.0	33		+1.0	16		15
	20	+1.0	0.24	9		−3.9	0.87	12		+0.2	8		−2.1	33		+1.0	16		20
	25	+2.2	0.11	10		−3.9	0.86	12		+0.1	9		−2.1	33		+1.0	16		25
	30	+3.8	0.03	11		−3.9	0.84	12		+0.1	9		−2.1	34		+1.0	16		30
May	5	…	0.00	12		−4.0	0.83	13		0.0	10		−2.1	34		+1.0	16	May	5
	10	+4.4	0.02	12		−4.0	0.81	13		−0.1	10		−2.1	34		+1.0	17		10
	15	+2.9	0.08	11		−4.0	0.80	13		−0.2	10		−2.1	34		+1.0	17		15
	20	+1.9	0.15	11		−4.0	0.78	14		−0.3	11		−2.1	34		+1.0	17		20
	25	+1.3	0.24	10		−4.0	0.77	14		−0.4	11		−2.1	35		+1.0	17		25
	30	+0.8	0.33	9		−4.0	0.75	14		−0.6	12		−2.1	35		+1.0	17		30
Jun.	4	+0.4	0.43	8		−4.0	0.73	15		−0.7	12		−2.2	35		+0.9	17	Jun.	4
	9	0.0	0.53	7		−4.1	0.71	15		−0.8	13		−2.2	36		+0.9	17		9
	14	−0.3	0.64	6		−4.1	0.70	16		−0.9	14		−2.2	36		+0.9	18		14
	19	−0.7	0.76	6		−4.1	0.68	17		−1.0	14		−2.2	37		+0.9	18		19
	24	−1.2	0.88	5		−4.1	0.66	17		−1.2	15		−2.2	37		+0.8	18		24
	29	−1.7	0.97	5		−4.2	0.63	18		−1.3	16		−2.3	38		+0.8	18		29
Jul.	4	−2.2	1.00	5		−4.2	0.61	19		−1.4	17		−2.3	38		+0.8	18	Jul.	4
	9	−1.6	0.97	5		−4.2	0.59	20		−1.6	17		−2.3	39		+0.8	18		9
	14	−1.0	0.91	5		−4.3	0.57	21		−1.7	18		−2.4	39		+0.7	18		14
	19	−0.6	0.84	5		−4.3	0.54	22		−1.9	19		−2.4	40		+0.7	19		19
	24	−0.3	0.77	6		−4.4	0.52	23		−2.0	20		−2.4	40		+0.7	19		24
	29	−0.1	0.71	6		−4.4	0.49	24		−2.1	21		−2.5	41		+0.6	19		29
Aug.	3	+0.1	0.64	6		−4.5	0.46	26		−2.3	22		−2.5	42		+0.6	19	Aug.	3
	8	+0.2	0.58	7		−4.5	0.43	27		−2.4	23		−2.5	42		+0.6	19		8
	13	+0.4	0.50	7		−4.6	0.40	29		−2.6	24		−2.6	43		+0.5	19		13
	18	+0.5	0.42	8		−4.6	0.37	31		−2.7	24		−2.6	44		+0.5	19		18
	23	+0.8	0.33	9		−4.6	0.33	34		−2.8	25		−2.6	44		+0.5	19		23
	28	+1.4	0.22	10		−4.7	0.29	36		−2.9	25		−2.7	45		+0.4	19		28
Sep.	2	+2.4	0.11	10		−4.7	0.25	39		−2.9	25		−2.7	46		+0.4	19	Sep.	2
	7	+4.1	0.02	11		−4.7	0.21	43		−2.8	25		−2.7	46		+0.4	19		7
	12	+4.2	0.02	10		−4.7	0.17	46		−2.7	24		−2.8	47		+0.5	19		12
	17	+1.8	0.13	9		−4.6	0.12	50		−2.6	24		−2.8	48		+0.5	19		17
	22	+0.3	0.33	8		−4.6	0.08	54		−2.5	23		−2.8	48		+0.5	19		22
	27	−0.6	0.56	7		−4.4	0.05	57		−2.3	22		−2.9	49		+0.5	19		27
Oct.	2	−0.9	0.76	6		−4.2	0.02	59		−2.2	21		−2.9	49		+0.6	19	Oct.	2
	7	−1.1	0.89	5		−4.1	0.01	61		−2.0	20		−2.9	49		+0.6	19		7
	12	−1.2	0.96	5		−4.2	0.02	60		−1.9	19		−2.9	50		+0.6	18		12
	17	−1.3	0.99	5		−4.4	0.04	58		−1.7	18		−2.9	50		+0.6	18		17
	22	−1.4	1.00	5		−4.6	0.07	55		−1.6	17		−2.9	50		+0.7	18		22
	27	−1.2	1.00	5		−4.7	0.12	52		−1.4	16		−2.9	50		+0.7	18		27
Nov.	1	−0.9	0.99	5		−4.8	0.16	48		−1.3	15		−2.9	49		+0.7	18	Nov.	1
	6	−0.7	0.98	5		−4.8	0.21	44		−1.1	15		−2.9	49		+0.7	18		6
	11	−0.6	0.96	5		−4.8	0.25	41		−1.0	14		−2.9	49		+0.8	18		11
	16	−0.5	0.93	5		−4.8	0.29	38		−0.9	13		−2.9	49		+0.8	17		16
	21	−0.4	0.90	5		−4.8	0.33	35		−0.7	12		−2.8	48		+0.8	17		21
	26	−0.4	0.85	5		−4.7	0.37	33		−0.6	12		−2.8	47		+0.8	17		26
Dec.	1	−0.5	0.78	6		−4.7	0.40	31		−0.5	11		−2.8	47		+0.8	17	Dec.	1
	6	−0.4	0.67	6		−4.7	0.44	29		−0.4	11		−2.7	46		+0.9	17		6
	11	−0.3	0.52	7		−4.6	0.47	27		−0.2	10		−2.7	46		+0.9	17		11
	16	+0.3	0.31	8		−4.6	0.49	25		−0.1	10		−2.7	45		+0.9	17		16
	21	+2.1	0.09	9		−4.5	0.52	24		0.0	9		−2.6	44		+0.9	16		21
	26	…	0.00	10		−4.5	0.54	23		+0.1	9		−2.6	43		+0.9	16		26
	31	+1.9	0.11	9		−4.4	0.57	22		+0.2	9		−2.5	43		+0.9	16		31
	36	+0.5	0.31	8		−4.4	0.59	21		+0.3	8		−2.5	42		+0.9	16		36

Declinations of the Sun, Moon and planets in 2082

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

Declinations of the Sun and planets in 2082

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

Declination of the Sun in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.1	−17.3	−7.9	+4.2	+14.8	+21.9	+23.1	+18.2	+8.5	−2.9	−14.2	−21.7	0
1	−23.0	−17.0	−7.5	+4.6	+15.1	+22.1	+23.1	+17.9	+8.2	−3.3	−14.5	−21.8	1
2	−22.9	−16.7	−7.1	+5.0	+15.4	+22.2	+23.0	+17.7	+7.8	−3.7	−14.8	−22.0	2
3	−22.8	−16.5	−6.7	+5.4	+15.7	+22.3	+22.9	+17.4	+7.4	−4.1	−15.1	−22.1	3
4	−22.7	−16.2	−6.4	+5.8	+16.0	+22.5	+22.8	+17.2	+7.1	−4.4	−15.4	−22.3	4
5	−22.6	−15.9	−6.0	+6.2	+16.3	+22.6	+22.7	+16.9	+6.7	−4.8	−15.7	−22.4	5
6	−22.5	−15.5	−5.6	+6.5	+16.6	+22.7	+22.6	+16.6	+6.3	−5.2	−16.0	−22.5	6
7	−22.3	−15.2	−5.2	+6.9	+16.9	+22.8	+22.5	+16.3	+6.0	−5.6	−16.3	−22.6	7
8	−22.2	−14.9	−4.8	+7.3	+17.2	+22.9	+22.4	+16.1	+5.6	−6.0	−16.6	−22.7	8
9	−22.1	−14.6	−4.4	+7.7	+17.4	+22.9	+22.3	+15.8	+5.2	−6.4	−16.9	−22.8	9
10	−21.9	−14.3	−4.0	+8.0	+17.7	+23.0	+22.2	+15.5	+4.8	−6.7	−17.2	−22.9	10
11	−21.8	−14.0	−3.6	+8.4	+17.9	+23.1	+22.1	+15.2	+4.5	−7.1	−17.5	−23.0	11
12	−21.6	−13.6	−3.2	+8.8	+18.2	+23.2	+21.9	+14.9	+4.1	−7.5	−17.7	−23.1	12
13	−21.4	−13.3	−2.8	+9.1	+18.4	+23.2	+21.8	+14.6	+3.7	−7.9	−18.0	−23.2	13
14	−21.3	−12.9	−2.4	+9.5	+18.7	+23.3	+21.6	+14.3	+3.3	−8.2	−18.3	−23.2	14
15	−21.1	−12.6	−2.1	+9.8	+18.9	+23.3	+21.5	+14.0	+2.9	−8.6	−18.5	−23.3	15
16	−20.9	−12.3	−1.7	+10.2	+19.2	+23.3	+21.3	+13.6	+2.5	−9.0	−18.8	−23.3	16
17	−20.7	−11.9	−1.3	+10.6	+19.4	+23.4	+21.1	+13.3	+2.2	−9.3	−19.0	−23.4	17
18	−20.5	−11.6	−0.9	+10.9	+19.6	+23.4	+21.0	+13.0	+1.8	−9.7	−19.3	−23.4	18
19	−20.3	−11.2	−0.5	+11.3	+19.8	+23.4	+20.8	+12.7	+1.4	−10.1	−19.5	−23.4	19
20	−20.1	−10.8	−0.1	+11.6	+20.0	+23.4	+20.6	+12.3	+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	−10.8	−19.9	−23.4	21
22	−19.6	−10.1	+0.7	+12.3	+20.4	+23.4	+20.2	+11.7	+0.2	−11.1	−20.2	−23.4	22
23	−19.4	−9.8	+1.1	+12.6	+20.6	+23.4	+20.0	+11.3	−0.2	−11.5	−20.4	−23.4	23
24	−19.2	−9.4	+1.5	+12.9	+20.8	+23.4	+19.8	+11.0	−0.6	−11.8	−20.6	−23.4	24
25	−18.9	−9.0	+1.9	+13.3	+21.0	+23.4	+19.6	+10.7	−1.0	−12.2	−20.8	−23.4	25
26	−18.7	−8.6	+2.3	+13.6	+21.2	+23.3	+19.4	+10.3	−1.3	−12.5	−21.0	−23.3	26
27	−18.4	−8.3	+2.7	+13.9	+21.3	+23.3	+19.1	+10.0	−1.7	−12.9	−21.2	−23.3	27
28	−18.1	−7.9	+3.1	+14.2	+21.5	+23.3	+18.9	+9.6	−2.1	−13.2	−21.3	−23.3	28
29	−17.9	−7.5	+3.5	+14.5	+21.7	+23.2	+18.7	+9.3	−2.5	−13.5	−21.5	−23.2	29
30	−17.6	−7.1	+3.9	+14.8	+21.8	+23.1	+18.4	+8.9	−2.9	−13.8	−21.7	−23.1	30
31	−17.3	−6.7	+4.2	+15.1	+21.9	+23.1	+18.2	+8.5	−3.3	−14.2	−21.8	−23.1	31
32	−17.0	−6.4	+4.6	+15.4	+22.1	+23.0	+17.9	+8.2	−3.7	−14.5	−22.0	−23.0	32

Declination of the Moon in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−25.7	−9.6	−5.6	+14.7	+25.4	+25.4	+13.1	−11.1	−27.3	−25.1	−8.0	+7.2	0
1	−22.4	−4.0	0.0	+19.3	+27.4	+22.0	+7.0	−17.0	−28.0	−21.7	−2.5	+12.4	1
2	−18.1	+1.6	+5.6	+23.2	+28.0	+17.4	+0.5	−21.9	−27.0	−17.3	+3.1	+17.1	2
3	−13.2	+7.2	+11.0	+26.1	+27.2	+11.9	−6.1	−25.5	−24.5	−12.3	+8.5	+21.1	3
4	−7.9	+12.5	+16.0	+27.8	+24.9	+5.7	−12.4	−27.6	−20.8	−6.9	+13.6	+24.3	4
5	−2.3	+17.4	+20.5	+28.2	+21.3	−0.8	−18.1	−27.9	−16.2	−1.3	+18.1	+26.5	5
6	+3.3	+21.6	+24.1	+27.0	+16.5	−7.4	−22.8	−26.5	−11.0	+4.3	+22.0	+27.4	6
7	+8.8	+25.1	+26.8	+24.3	+10.7	−13.8	−26.1	−23.7	−5.5	+9.7	+25.0	+27.0	7
8	+14.0	+27.4	+28.2	+20.3	+4.2	−19.4	−27.8	−19.7	+0.2	+14.8	+26.9	+25.2	8
9	+18.8	+28.3	+28.1	+14.9	−2.6	−23.9	−27.6	−14.8	+5.8	+19.2	+27.6	+22.2	9
10	+22.9	+27.6	+26.4	+8.7	−9.4	−26.8	−25.8	−9.4	+11.2	+23.0	+26.9	+18.0	10
11	+26.0	+25.2	+23.1	+1.8	−15.8	−27.9	−22.5	−3.7	+16.1	+25.7	+24.8	+12.9	11
12	+27.8	+21.2	+18.4	−5.4	−21.2	−27.1	−18.1	+2.0	+20.4	+27.4	+21.5	+7.1	12
13	+28.1	+15.8	+12.4	−12.2	−25.2	−24.7	−13.0	+7.5	+23.9	+27.7	+17.1	+0.9	13
14	+26.7	+9.3	+5.6	−18.4	−27.5	−21.0	−7.5	+12.8	+26.5	+26.7	+11.8	−5.5	14
15	+23.6	+2.4	−1.5	−23.3	−27.9	−16.4	−1.9	+17.5	+27.8	+24.3	+5.7	−11.8	15
16	+19.0	−4.7	−8.7	−26.6	−26.5	−11.2	+3.8	+21.6	+27.8	+20.6	−0.8	−17.5	16
17	+13.2	−11.4	−15.2	−28.1	−23.6	−5.7	+9.2	+24.9	+26.3	+15.8	−7.5	−22.4	17
18	+6.7	−17.5	−20.8	−27.7	−19.6	−0.1	+14.3	+27.1	+23.3	+9.9	−13.9	−25.8	18
19	−0.1	−22.4	−25.0	−25.8	−14.8	+5.5	+18.9	+28.0	+19.0	+3.4	−19.5	−27.4	19
20	−6.8	−25.9	−27.5	−22.6	−9.6	+10.8	+22.8	+27.4	+13.6	−3.4	−24.0	−27.0	20
21	−13.2	−27.9	−28.3	−18.4	−4.1	+15.7	+25.7	+25.3	+7.3	−10.3	−26.7	−24.8	21
22	−18.8	−28.3	−27.4	−13.5	+1.4	+20.1	+27.5	+21.8	+0.4	−16.6	−27.5	−21.2	22
23	−23.3	−27.1	−25.2	−8.3	+6.9	+23.8	+27.9	+16.9	−6.6	−21.8	−26.4	−16.5	23
24	−26.4	−24.5	−21.7	−2.8	+12.2	+26.4	+26.8	+11.0	−13.3	−25.6	−23.6	−11.1	24
25	−28.1	−20.8	−17.3	+2.8	+17.0	+27.7	+24.1	+4.3	−19.1	−27.5	−19.5	−5.5	25
26	−28.1	−16.2	−12.4	+8.3	+21.2	+27.6	+20.0	−2.5	−23.7	−27.4	−14.7	+0.2	26
27	−26.5	−11.1	−7.0	+13.4	+24.6	+26.0	+14.7	−9.3	−26.7	−25.7	−9.3	+5.8	27
28	−23.6	−5.6	−1.4	+18.2	+26.9	+22.9	+8.6	−15.6	−27.9	−22.5	−3.8	+11.1	28
29	−19.6	0.0	+4.1	+22.2	+27.9	+18.5	+2.0	−20.8	−27.3	−18.3	+1.8	+15.9	29
30	−14.8	+5.6	+9.6	+25.4	+27.4	+13.1	−4.7	−24.8	−25.1	−13.4	+7.2	+20.1	30
31	−9.6	+11.0	+14.7	+27.4	+25.4	+7.0	−11.1	−27.3	−21.7	−8.0	+12.4	+23.6	31
32	−4.0	+16.0	+19.3	+28.0	+22.0	+0.5	−17.0	−28.0	−17.3	−2.5	+17.1	+26.1	32

Declination of Mercury in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.8	−21.1	−15.6	+8.6	+19.1	+13.1	+24.1	+11.1	−2.0	+5.2	−15.8	−25.8	0
1	−20.5	−21.2	−15.1	+9.5	+18.7	+13.4	+24.2	+10.4	−1.9	+4.7	−16.3	−25.9	1
2	−20.2	−21.2	−14.5	+10.4	+18.4	+13.7	+24.2	+9.8	−1.7	+4.2	−16.9	−25.9	2
3	−19.9	−21.3	−14.0	+11.3	+18.0	+14.0	+24.2	+9.1	−1.4	+3.6	−17.5	−25.8	3
4	−19.7	−21.3	−13.4	+12.1	+17.5	+14.4	+24.2	+8.5	−1.1	+3.0	−18.0	−25.8	4
5	−19.5	−21.3	−12.8	+12.9	+17.1	+14.7	+24.0	+7.8	−0.7	+2.4	−18.6	−25.7	5
6	−19.3	−21.2	−12.2	+13.7	+16.6	+15.1	+23.9	+7.2	−0.3	+1.7	−19.1	−25.6	6
7	−19.2	−21.2	−11.6	+14.5	+16.2	+15.5	+23.7	+6.6	+0.2	+1.0	−19.6	−25.5	7
8	−19.1	−21.1	−11.0	+15.2	+15.7	+15.9	+23.4	+6.0	+0.7	+0.3	−20.0	−25.3	8
9	−19.0	−21.1	−10.3	+15.8	+15.3	+16.4	+23.2	+5.4	+1.3	−0.4	−20.5	−25.2	9
10	−19.0	−21.0	−9.6	+16.5	+14.8	+16.8	+22.8	+4.8	+1.9	−1.1	−21.0	−25.0	10
11	−19.0	−20.8	−8.9	+17.0	+14.4	+17.3	+22.5	+4.2	+2.5	−1.8	−21.4	−24.8	11
12	−19.0	−20.7	−8.2	+17.6	+14.0	+17.7	+22.1	+3.7	+3.1	−2.6	−21.8	−24.6	12
13	−19.0	−20.5	−7.4	+18.1	+13.6	+18.2	+21.7	+3.1	+3.7	−3.3	−22.2	−24.3	13
14	−19.1	−20.3	−6.6	+18.5	+13.3	+18.6	+21.2	+2.6	+4.3	−4.1	−22.6	−24.1	14
15	−19.2	−20.1	−5.8	+18.9	+12.9	+19.1	+20.7	+2.1	+4.8	−4.8	−22.9	−23.8	15
16	−19.3	−19.9	−5.0	+19.3	+12.7	+19.6	+20.2	+1.6	+5.3	−5.6	−23.3	−23.6	16
17	−19.4	−19.7	−4.2	+19.6	+12.4	+20.0	+19.7	+1.1	+5.8	−6.3	−23.6	−23.3	17
18	−19.5	−19.4	−3.4	+19.8	+12.2	+20.5	+19.2	+0.6	+6.2	−7.0	−23.9	−23.1	18
19	−19.7	−19.1	−2.5	+20.0	+12.1	+20.9	+18.6	+0.2	+6.5	−7.8	−24.2	−22.8	19
20	−19.8	−18.8	−1.6	+20.2	+12.0	+21.3	+18.0	−0.2	+6.7	−8.5	−24.4	−22.5	20
21	−19.9	−18.5	−0.7	+20.3	+11.9	+21.7	+17.4	−0.6	+6.9	−9.2	−24.7	−22.3	21
22	−20.1	−18.1	+0.2	+20.3	+11.8	+22.1	+16.8	−0.9	+7.0	−9.9	−24.9	−22.0	22
23	−20.2	−17.8	+1.1	+20.3	+11.8	+22.5	+16.2	−1.2	+7.0	−10.6	−25.1	−21.7	23
24	−20.4	−17.4	+2.0	+20.3	+11.9	+22.8	+15.6	−1.5	+7.0	−11.3	−25.3	−21.5	24
25	−20.5	−16.9	+3.0	+20.2	+11.9	+23.1	+14.9	−1.7	+6.9	−12.0	−25.4	−21.2	25
26	−20.6	−16.5	+3.9	+20.1	+12.1	+23.4	+14.3	−1.9	+6.7	−12.6	−25.6	−21.0	26
27	−20.8	−16.0	+4.8	+19.9	+12.2	+23.7	+13.7	−2.0	+6.4	−13.3	−25.7	−20.8	27
28	−20.9	−15.6	+5.8	+19.7	+12.4	+23.9	+13.0	−2.1	+6.1	−13.9	−25.8	−20.6	28
29	−21.0	−15.1	+6.7	+19.4	+12.6	+24.0	+12.4	−2.1	+5.7	−14.5	−25.8	−20.5	29
30	−21.1	−14.5	+7.7	+19.1	+12.8	+24.1	+11.7	−2.1	+5.2	−15.2	−25.8	−20.4	30
31	−21.1	−14.0	+8.6	+18.7	+13.1	+24.2	+11.1	−2.0	+4.7	−15.8	−25.9	−20.3	31
32	−21.2	−13.4	+9.5	+18.4	+13.4	+24.2	+10.4	−1.9	+4.2	−16.3	−25.9	−20.2	32

Declination of Venus in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.5	−15.6	−2.5	+13.0	+23.3	+24.3	+15.8	+1.9	−11.3	−14.9	−5.3	−7.2	0
1	−23.4	−15.2	−2.0	+13.4	+23.5	+24.2	+15.4	+1.4	−11.7	−14.7	−5.2	−7.4	1
2	−23.3	−14.8	−1.5	+13.9	+23.7	+24.0	+15.0	+0.9	−12.0	−14.5	−5.0	−7.6	2
3	−23.2	−14.4	−1.0	+14.3	+23.9	+23.8	+14.6	+0.5	−12.3	−14.2	−4.9	−7.9	3
4	−23.1	−14.0	−0.4	+14.7	+24.1	+23.6	+14.2	0.0	−12.6	−13.9	−4.8	−8.1	4
5	−22.9	−13.6	+0.1	+15.2	+24.2	+23.4	+13.7	−0.5	−12.9	−13.6	−4.7	−8.4	5
6	−22.8	−13.1	+0.6	+15.6	+24.4	+23.2	+13.3	−0.9	−13.2	−13.3	−4.6	−8.6	6
7	−22.6	−12.7	+1.1	+16.0	+24.5	+23.0	+12.9	−1.4	−13.5	−13.0	−4.6	−8.9	7
8	−22.5	−12.3	+1.6	+16.4	+24.6	+22.8	+12.5	−1.8	−13.7	−12.6	−4.6	−9.2	8
9	−22.3	−11.8	+2.1	+16.8	+24.7	+22.6	+12.0	−2.3	−14.0	−12.3	−4.5	−9.4	9
10	−22.1	−11.4	+2.6	+17.2	+24.8	+22.3	+11.6	−2.8	−14.2	−11.9	−4.5	−9.7	10
11	−21.9	−10.9	+3.2	+17.6	+24.9	+22.1	+11.2	−3.2	−14.4	−11.6	−4.6	−10.0	11
12	−21.7	−10.4	+3.7	+18.0	+25.0	+21.8	+10.7	−3.7	−14.6	−11.2	−4.6	−10.3	12
13	−21.4	−10.0	+4.2	+18.3	+25.1	+21.6	+10.3	−4.1	−14.8	−10.8	−4.6	−10.5	13
14	−21.2	−9.5	+4.7	+18.7	+25.1	+21.3	+9.8	−4.5	−15.0	−10.4	−4.7	−10.8	14
15	−20.9	−9.0	+5.2	+19.1	+25.2	+21.0	+9.4	−5.0	−15.2	−10.0	−4.8	−11.1	15
16	−20.7	−8.5	+5.7	+19.4	+25.2	+20.7	+8.9	−5.4	−15.3	−9.6	−4.8	−11.4	16
17	−20.4	−8.0	+6.2	+19.7	+25.2	+20.4	+8.4	−5.9	−15.4	−9.3	−4.9	−11.7	17
18	−20.1	−7.6	+6.7	+20.1	+25.2	+20.1	+8.0	−6.3	−15.5	−8.9	−5.1	−12.0	18
19	−19.8	−7.1	+7.2	+20.4	+25.2	+19.8	+7.5	−6.7	−15.6	−8.5	−5.2	−12.3	19
20	−19.5	−6.6	+7.7	+20.7	+25.2	+19.4	+7.1	−7.1	−15.6	−8.2	−5.3	−12.6	20
21	−19.2	−6.1	+8.2	+21.0	+25.2	+19.1	+6.6	−7.5	−15.7	−7.8	−5.5	−12.9	21
22	−18.9	−5.6	+8.7	+21.3	+25.2	+18.8	+6.1	−8.0	−15.7	−7.5	−5.6	−13.2	22
23	−18.6	−5.1	+9.2	+21.6	+25.1	+18.4	+5.7	−8.4	−15.7	−7.2	−5.8	−13.4	23
24	−18.2	−4.6	+9.7	+21.9	+25.1	+18.1	+5.2	−8.8	−15.6	−6.9	−5.9	−13.7	24
25	−17.9	−4.0	+10.2	+22.1	+25.0	+17.7	+4.7	−9.1	−15.6	−6.6	−6.1	−14.0	25
26	−17.5	−3.5	+10.6	+22.4	+24.9	+17.3	+4.2	−9.5	−15.5	−6.4	−6.3	−14.3	26
27	−17.2	−3.0	+11.1	+22.6	+24.8	+16.9	+3.8	−9.9	−15.4	−6.1	−6.5	−14.6	27
28	−16.8	−2.5	+11.6	+22.9	+24.7	+16.6	+3.3	−10.3	−15.2	−5.9	−6.7	−14.9	28
29	−16.4	−2.0	+12.1	+23.1	+24.6	+16.2	+2.8	−10.6	−15.1	−5.7	−6.9	−15.1	29
30	−16.0	−1.5	+12.5	+23.3	+24.4	+15.8	+2.4	−11.0	−14.9	−5.5	−7.2	−15.4	30
31	−15.6	−1.0	+13.0	+23.5	+24.3	+15.4	+1.9	−11.3	−14.7	−5.3	−7.4	−15.7	31
32	−15.2	−0.4	+13.4	+23.7	+24.2	+15.0	+1.4	−11.7	−14.5	−5.2	−7.6	−16.0	32

Declination of Mars in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−17.3	−21.7	−23.5	−22.8	−19.9	−15.8	−12.3	−11.4	−13.7	−14.1	−9.9	−3.4	0
1	−17.4	−21.8	−23.5	−22.7	−19.8	−15.7	−12.2	−11.4	−13.8	−14.0	−9.7	−3.2	1
2	−17.6	−21.9	−23.5	−22.7	−19.7	−15.5	−12.1	−11.5	−13.9	−13.9	−9.6	−2.9	2
3	−17.8	−22.0	−23.5	−22.6	−19.6	−15.4	−12.1	−11.5	−14.0	−13.9	−9.4	−2.7	3
4	−18.0	−22.1	−23.5	−22.5	−19.4	−15.3	−12.0	−11.6	−14.0	−13.8	−9.2	−2.5	4
5	−18.1	−22.2	−23.5	−22.5	−19.3	−15.1	−11.9	−11.6	−14.1	−13.7	−9.0	−2.2	5
6	−18.3	−22.3	−23.6	−22.4	−19.2	−15.0	−11.8	−11.7	−14.2	−13.6	−8.8	−2.0	6
7	−18.5	−22.3	−23.6	−22.3	−19.1	−14.9	−11.8	−11.7	−14.2	−13.5	−8.6	−1.7	7
8	−18.6	−22.4	−23.6	−22.2	−18.9	−14.7	−11.7	−11.8	−14.3	−13.4	−8.4	−1.5	8
9	−18.8	−22.5	−23.6	−22.1	−18.8	−14.6	−11.7	−11.9	−14.3	−13.3	−8.2	−1.2	9
10	−18.9	−22.6	−23.5	−22.1	−18.7	−14.5	−11.6	−11.9	−14.4	−13.2	−7.9	−1.0	10
11	−19.1	−22.7	−23.5	−22.0	−18.5	−14.4	−11.5	−12.0	−14.4	−13.0	−7.7	−0.7	11
12	−19.3	−22.7	−23.5	−21.9	−18.4	−14.2	−11.5	−12.1	−14.4	−12.9	−7.5	−0.5	12
13	−19.4	−22.8	−23.5	−21.8	−18.3	−14.1	−11.5	−12.2	−14.5	−12.8	−7.3	−0.2	13
14	−19.5	−22.9	−23.5	−21.7	−18.1	−14.0	−11.4	−12.2	−14.5	−12.7	−7.1	0.0	14
15	−19.7	−22.9	−23.5	−21.6	−18.0	−13.9	−11.4	−12.3	−14.5	−12.5	−6.9	+0.3	15
16	−19.8	−23.0	−23.5	−21.5	−17.9	−13.7	−11.3	−12.4	−14.5	−12.4	−6.7	+0.5	16
17	−20.0	−23.0	−23.4	−21.4	−17.7	−13.6	−11.3	−12.5	−14.5	−12.2	−6.4	+0.8	17
18	−20.1	−23.1	−23.4	−21.3	−17.6	−13.5	−11.3	−12.6	−14.5	−12.1	−6.2	+1.0	18
19	−20.3	−23.1	−23.4	−21.2	−17.5	−13.4	−11.3	−12.7	−14.5	−12.0	−6.0	+1.3	19
20	−20.4	−23.2	−23.3	−21.1	−17.3	−13.3	−11.3	−12.8	−14.5	−11.8	−5.8	+1.5	20
21	−20.5	−23.2	−23.3	−21.0	−17.2	−13.2	−11.3	−12.9	−14.5	−11.6	−5.5	+1.8	21
22	−20.7	−23.3	−23.3	−20.9	−17.0	−13.1	−11.2	−12.9	−14.5	−11.5	−5.3	+2.0	22
23	−20.8	−23.3	−23.2	−20.8	−16.9	−13.0	−11.2	−13.0	−14.4	−11.3	−5.1	+2.3	23
24	−20.9	−23.4	−23.2	−20.6	−16.8	−12.9	−11.2	−13.1	−14.4	−11.2	−4.9	+2.6	24
25	−21.0	−23.4	−23.1	−20.5	−16.6	−12.8	−11.3	−13.2	−14.4	−11.0	−4.6	+2.8	25
26	−21.1	−23.4	−23.1	−20.4	−16.5	−12.7	−11.3	−13.3	−14.3	−10.8	−4.4	+3.1	26
27	−21.3	−23.4	−23.0	−20.3	−16.3	−12.6	−11.3	−13.4	−14.3	−10.7	−4.1	+3.3	27
28	−21.4	−23.5	−23.0	−20.2	−16.2	−12.5	−11.3	−13.5	−14.2	−10.5	−3.9	+3.6	28
29	−21.5	−23.5	−22.9	−20.1	−16.1	−12.4	−11.3	−13.6	−14.1	−10.3	−3.7	+3.8	29
30	−21.6	−23.5	−22.9	−19.9	−15.9	−12.3	−11.4	−13.7	−14.1	−10.1	−3.4	+4.1	30
31	−21.7	−23.5	−22.8	−19.8	−15.8	−12.2	−11.4	−13.7	−14.0	−9.9	−3.2	+4.3	31
32	−21.8	−23.5	−22.7	−19.7	−15.7	−12.1	−11.4	−13.8	−13.9	−9.7	−2.9	+4.6	32

Declination of Jupiter in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−4.4	−2.1	+0.4	+3.3	+6.1	+8.6	+10.4	+11.6	+11.8	+11.0	+9.6	+8.6	0
1	−4.3	−2.0	+0.5	+3.4	+6.2	+8.7	+10.5	+11.6	+11.8	+10.9	+9.6	+8.6	1
2	−4.2	−1.9	+0.6	+3.5	+6.3	+8.7	+10.5	+11.6	+11.7	+10.9	+9.5	+8.5	2
3	−4.2	−1.8	+0.7	+3.6	+6.3	+8.8	+10.6	+11.7	+11.7	+10.9	+9.5	+8.5	3
4	−4.1	−1.8	+0.8	+3.7	+6.4	+8.9	+10.6	+11.7	+11.7	+10.8	+9.4	+8.5	4
5	−4.0	−1.7	+0.9	+3.8	+6.5	+8.9	+10.7	+11.7	+11.7	+10.8	+9.4	+8.5	5
6	−4.0	−1.6	+1.0	+3.9	+6.6	+9.0	+10.7	+11.7	+11.7	+10.7	+9.3	+8.5	6
7	−3.9	−1.5	+1.1	+4.0	+6.7	+9.1	+10.8	+11.7	+11.7	+10.7	+9.3	+8.5	7
8	−3.8	−1.4	+1.1	+4.1	+6.8	+9.1	+10.8	+11.7	+11.6	+10.7	+9.3	+8.5	8
9	−3.8	−1.3	+1.2	+4.2	+6.9	+9.2	+10.9	+11.8	+11.6	+10.6	+9.2	+8.4	9
10	−3.7	−1.2	+1.3	+4.3	+6.9	+9.3	+10.9	+11.8	+11.6	+10.6	+9.2	+8.4	10
11	−3.6	−1.2	+1.4	+4.4	+7.0	+9.3	+11.0	+11.8	+11.6	+10.5	+9.1	+8.4	11
12	−3.6	−1.1	+1.5	+4.5	+7.1	+9.4	+11.0	+11.8	+11.6	+10.5	+9.1	+8.4	12
13	−3.5	−1.0	+1.6	+4.6	+7.2	+9.5	+11.0	+11.8	+11.5	+10.4	+9.1	+8.4	13
14	−3.4	−0.9	+1.7	+4.6	+7.3	+9.5	+11.1	+11.8	+11.5	+10.4	+9.0	+8.4	14
15	−3.3	−0.8	+1.8	+4.7	+7.4	+9.6	+11.1	+11.8	+11.5	+10.3	+9.0	+8.4	15
16	−3.3	−0.7	+1.9	+4.8	+7.4	+9.7	+11.2	+11.8	+11.5	+10.3	+9.0	+8.4	16
17	−3.2	−0.6	+2.0	+4.9	+7.5	+9.7	+11.2	+11.8	+11.4	+10.2	+8.9	+8.4	17
18	−3.1	−0.5	+2.1	+5.0	+7.6	+9.8	+11.2	+11.8	+11.4	+10.2	+8.9	+8.4	18
19	−3.0	−0.4	+2.2	+5.1	+7.7	+9.8	+11.3	+11.8	+11.4	+10.2	+8.9	+8.4	19
20	−3.0	−0.3	+2.3	+5.2	+7.8	+9.9	+11.3	+11.8	+11.3	+10.1	+8.8	+8.4	20
21	−2.9	−0.3	+2.4	+5.3	+7.8	+10.0	+11.3	+11.8	+11.3	+10.1	+8.8	+8.4	21
22	−2.8	−0.2	+2.5	+5.4	+7.9	+10.0	+11.4	+11.8	+11.3	+10.0	+8.8	+8.4	22
23	−2.7	−0.1	+2.6	+5.5	+8.0	+10.1	+11.4	+11.8	+11.2	+10.0	+8.7	+8.4	23
24	−2.7	0.0	+2.7	+5.6	+8.1	+10.1	+11.4	+11.8	+11.2	+9.9	+8.7	+8.5	24
25	−2.6	+0.1	+2.8	+5.6	+8.1	+10.2	+11.4	+11.8	+11.2	+9.9	+8.7	+8.5	25
26	−2.5	+0.2	+2.9	+5.7	+8.2	+10.2	+11.5	+11.8	+11.1	+9.8	+8.7	+8.5	26
27	−2.4	+0.3	+3.0	+5.8	+8.3	+10.3	+11.5	+11.8	+11.1	+9.8	+8.6	+8.5	27
28	−2.3	+0.4	+3.0	+5.9	+8.4	+10.3	+11.5	+11.8	+11.1	+9.7	+8.6	+8.5	28
29	−2.3	+0.5	+3.1	+6.0	+8.4	+10.4	+11.5	+11.8	+11.0	+9.7	+8.6	+8.5	29
30	−2.2	+0.6	+3.2	+6.1	+8.5	+10.4	+11.6	+11.8	+11.0	+9.6	+8.6	+8.5	30
31	−2.1	+0.7	+3.3	+6.2	+8.6	+10.5	+11.6	+11.8	+10.9	+9.6	+8.6	+8.6	31
32	−2.0	+0.8	+3.4	+6.3	+8.7	+10.5	+11.6	+11.8	+10.9	+9.6	+8.5	+8.6	32

Declination of Saturn in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−14.6	−13.5	−12.3	−11.1	−10.2	−9.6	−9.6	−10.2	−11.1	−11.8	−12.2	−12.0	0
10	−14.3	−13.1	−11.9	−10.7	−9.9	−9.6	−9.8	−10.5	−11.4	−12.0	−12.2	−11.8	10
20	−13.9	−12.7	−11.5	−10.4	−9.7	−9.6	−10.0	−10.8	−11.6	−12.1	−12.1	−11.5	20
30	−13.5	−12.2	−11.1	−10.2	−9.6	−9.6	−10.2	−11.1	−11.8	−12.2	−12.0	−11.2	30
40	−13.1	−11.8	−10.8	−9.9	−9.6	−9.8	−10.4	−11.3	−12.0	−12.2	−11.8	−10.9	40

Declination of Uranus in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−18.8	−18.3	−17.9	−17.5	−17.3	−17.3	−17.5	−17.8	−18.2	−18.4	−18.4	−18.2	0
10	−18.7	−18.2	−17.8	−17.4	−17.3	−17.3	−17.6	−17.9	−18.2	−18.4	−18.3	−18.1	10
20	−18.5	−18.0	−17.6	−17.4	−17.3	−17.4	−17.7	−18.0	−18.3	−18.4	−18.3	−17.9	20
30	−18.3	−17.9	−17.5	−17.3	−17.3	−17.5	−17.8	−18.1	−18.4	−18.4	−18.2	−17.8	30
40	−18.2	−17.7	−17.4	−17.3	−17.3	−17.6	−17.9	−18.2	−18.4	−18.3	−18.1	−17.7	40

Declination of Neptune in 2082

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+18.3	+18.5	+18.7	+18.8	+18.9	+18.7	+18.5	+18.3	+18.0	+17.8	+17.6	+17.7	0
10	+18.4	+18.6	+18.8	+18.9	+18.8	+18.7	+18.4	+18.2	+17.9	+17.7	+17.6	+17.7	10
20	+18.5	+18.7	+18.8	+18.9	+18.8	+18.6	+18.4	+18.1	+17.8	+17.7	+17.6	+17.7	20
30	+18.5	+18.7	+18.8	+18.9	+18.7	+18.5	+18.3	+18.0	+17.8	+17.6	+17.7	+17.8	30
40	+18.6	+18.8	+18.9	+18.8	+18.7	+18.4	+18.2	+17.9	+17.7	+17.6	+17.7	+17.9	40

Meridian passages of the planets in 2082

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

Rings of Saturn in 2082

Distances from Earth to Mercury, Venus and Mars 2082

Nutation in obliquity 2082

Heliocentric positions of the planets in their orbits 2082

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

Heliocentric positions of the planets in their orbits 2082 January

Heliocentric positions of the planets in their orbits 2082 February

Heliocentric positions of the planets in their orbits 2082 March

Heliocentric positions of the planets in their orbits 2082 April

Heliocentric positions of the planets in their orbits 2082 May

Heliocentric positions of the planets in their orbits 2082 June

Heliocentric positions of the planets in their orbits 2082 July

Heliocentric positions of the planets in their orbits 2082 August

Heliocentric positions of the planets in their orbits 2082 September

Heliocentric positions of the planets in their orbits 2082 October

Heliocentric positions of the planets in their orbits 2082 November

Heliocentric positions of the planets in their orbits 2082 December

Heliocentric positions of the planets in their orbits 2082

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 +161 seconds.