Almanac 1931

< Back to index of years ••• ← 1930 1931 1932 →

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 1931

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 1931

		d	h			d	h	m		d	h	m
Perigee:	Jan.	3	10	Equinoxes:	Mar.	21	14	06	Sep.	24	00	23
Apogee:	Jul.	5	23	Solstices:	Jun.	22	09	29	Dec.	22	19	30

Phases of the Moon 1931

New Moon				First quarter				Full Moon				Third quarter
	d	h	m		d	h	m		d	h	m		d	h	m
								Jan.	4	13	09	Jan.	11	05	09
Jan.	18	18	29	Jan.	27	00	05	Feb.	3	00	20	Feb.	9	16	10
Feb.	17	13	05	Feb.	25	16	42	Mar.	4	10	30	Mar.	11	05	15
Mar.	19	07	44	Mar.	27	05	04	Apr.	2	19	59	Apr.	9	20	15
Apr.	18	00	53	Apr.	25	13	40	May	2	05	08	May	9	12	48
May	17	15	22	May	24	19	39	May	31	14	27	Jun.	8	06	18
Jun.	16	02	55	Jun.	23	00	23	Jun.	30	00	41	Jul.	7	23	51
Jul.	15	12	14	Jul.	22	05	16	Jul.	29	12	41	Aug.	6	16	27
Aug.	13	20	20	Aug.	20	11	36	Aug.	28	03	03	Sep.	5	07	21
Sep.	12	04	20	Sep.	18	20	37	Sep.	26	19	39	Oct.	4	20	15
Oct.	11	13	00	Oct.	18	09	20	Oct.	26	13	28	Nov.	3	07	17
Nov.	9	22	49	Nov.	17	02	13	Nov.	25	07	04	Dec.	2	16	50
Dec.	9	10	10	Dec.	16	22	43	Dec.	24	23	17

Apsides of the Moon 1931

Perigee					Apogee
	d	h	Distance km	Distance Earth radii		d	h	Distance km	Distance Earth radii
Jan.	6	15	362 605	56.851	Jan.	22	13	405 869	63.634
Feb.	3	22	358 160	56.154	Feb.	18	22	406 490	63.732
Mar.	4	11	356 642	55.916	Mar.	17	23	406 524	63.737
Apr.	1	22	358 330	56.181	Apr.	14	09	405 883	63.637
Apr.	30	04	362 514	56.837	May	12	01	404 832	63.472
May	27	16	367 580	57.631	Jun.	8	20	404 119	63.360
Jun.	22	01	369 558	57.941	Jul.	6	15	404 236	63.378
Jul.	18	12	365 543	57.312	Aug.	3	08	405 055	63.507
Aug.	15	10	360 784	56.566	Aug.	30	22	405 951	63.647
Sep.	12	17	357 676	56.078	Sep.	27	03	406 300	63.702
Oct.	11	04	357 284	56.017	Oct.	24	05	406 020	63.658
Nov.	8	15	359 922	56.431	Nov.	20	17	405 254	63.538
Dec.	6	18	364 972	57.222	Dec.	18	12	404 471	63.415

Passages of the Moon through the nodes 1931

Ascending								Descending
	d	h	m		d	h	m		d	h	m		d	h	m
Jan.	25	10	44	Aug.	3	15	03	Jan.	11	03	25	Jul.	20	18	39
Feb.	21	12	46	Aug.	30	19	10	Feb.	7	05	29	Aug.	16	22	37
Mar.	20	17	23	Sep.	27	01	08	Mar.	6	12	50	Sep.	13	07	15
Apr.	16	23	54	Oct.	24	07	18	Apr.	2	23	42	Oct.	10	18	23
May	14	06	07	Nov.	20	11	44	Apr.	30	09	50	Nov.	7	04	00
Jun.	10	10	21	Dec.	17	13	56	May	27	16	00	Dec.	4	08	37
Jul.	7	12	42					Jun.	23	17	51	Dec.	31	09	02

Maximum declinations of the Moon 1931

North					South
	d	h	m	Dec °		d	h	m	Dec °
Jan.	3	20	50	+28.2	Jan.	16	18	51	−28.2
Jan.	31	06	55	+28.3	Feb.	12	23	52	−28.4
Feb.	27	16	12	+28.5	Mar.	12	05	31	−28.5
Mar.	26	23	30	+28.6	Apr.	8	12	59	−28.6
Apr.	23	05	12	+28.6	May	5	21	56	−28.5
May	20	10	39	+28.5	Jun.	2	06	57	−28.4
Jun.	16	17	08	+28.4	Jun.	29	14	40	−28.4
Jul.	14	01	09	+28.4	Jul.	26	20	45	−28.4
Aug.	10	10	14	+28.5	Aug.	23	01	58	−28.6
Sep.	6	19	04	+28.7	Sep.	19	07	42	−28.7
Oct.	4	02	25	+28.7	Oct.	16	15	06	−28.7
Oct.	31	08	07	+28.6	Nov.	13	00	18	−28.6
Nov.	27	13	21	+28.5	Dec.	10	10	05	−28.4
Dec.	24	19	46	+28.4

Distance from the Earth to the Moon in 1931

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

Mercury 1931

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

Venus 1931

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

Mars 1931

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

Jupiter 1931

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

Saturn 1931

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

Uranus 1931

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

Neptune 1931

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

Planetary phenomena 1931

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

Mercury · Venus · Superior planets · Apsides of the planets

Mercury 1931

		d	h		Mag		d	h		Mag		d	h		Mag		d	h		Mag
Greatest eastern elongation						Apr.	10	11	19°	+0.1	Aug.	8	14	27°	+0.4	Dec.	3	03	21°	−0.4
Stationary						Apr.	19	20			Aug.	22	08			Dec.	11	21
Inferior conjunction	Jan.	6	03			Apr.	30	10			Sep.	5	00			Dec.	21	09
Stationary	Jan.	17	03			May	13	15			Sep.	14	10			Dec.	31	17
Greatest western elongation	Jan.	28	18	25°	−0.1	May	27	17	25°	+0.6	Sep.	21	03	18°	−0.4
Superior conjunction	Mar.	16	00			Jun.	29	19			Oct.	18	16

Venus 1931

		d	h		Mag
Greatest western elongation	Feb.	1	22	47°	−4.4
Superior conjunction	Sep.	8	04

Superior planets 1931

	Conjunction with the Sun			Stationary			Opposition				Stationary
		d	h		d	h		d	h	Mag		d	h
Mars							Jan.	27	19	−1.3	Mar.	8	12
Jupiter	Jul.	25	20	Dec.	9	15	Jan.	6	18	−2.7	Mar.	7	09
Saturn	Jan.	5	13	May	3	12	Jul.	13	09	+0.1	Sep.	21	21
Uranus	Apr.	6	01	Jul.	26	00	Oct.	11	15	+5.7	Dec.	25	15
Neptune	Aug.	29	21	Dec.	11	06	Feb.	24	00	+7.9	May	15	01

Planets in perihelion and in aphelion 1931

	Perihelion				Aphelion
			Distance from Sun				Distance from Sun
	Date		AU	mill. km	Date		AU	mill. km
Mercury	Jan.	1	0.30750	46.002	Feb.	14	0.46669	69.817
	Mar.	30	0.30750	46.002	May	13	0.46669	69.817
	Jun.	26	0.30750	46.002	Aug.	9	0.46669	69.816
	Sep.	22	0.30751	46.002	Nov.	5	0.46669	69.816
	Dec.	19	0.30751	46.002
Venus	Jan.	5	0.71842	107.475	Apr.	27	0.72822	108.941
	Aug.	18	0.71843	107.476	Dec.	8	0.72823	108.941
Earth	Jan.	3	0.98324	147.091	Jul.	5	1.01671	152.098
Mars					Apr.	1	1.66596	249.224
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 1931

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

Magnitudes, phases and diameters of the planets in 1931

At 0:00 Universal Time

		Mercury				Venus				Mars			Jupiter			Saturn
		Mag	Phase	Diam		Mag	Phase	Diam		Mag	Diam		Mag	Diam		Mag	Diam
Jan.	0	+1.4	0.15	9		−4.9	0.28	39		−0.8	13		−2.7	47		+0.5	15	Jan.	0
	5	+4.4	0.01	10		−4.8	0.32	36		−0.9	13		−2.7	47		+0.5	15		5
	10	+2.7	0.06	10		−4.8	0.36	34		−1.0	14		−2.7	47		+0.5	15		10
	15	+0.9	0.23	9		−4.7	0.39	31		−1.1	14		−2.7	47		+0.5	15		15
	20	+0.2	0.41	8		−4.7	0.43	29		−1.2	14		−2.7	46		+0.5	15		20
	25	0.0	0.55	7		−4.6	0.46	27		−1.3	14		−2.6	46		+0.6	15		25
	30	−0.1	0.65	7		−4.6	0.48	26		−1.3	14		−2.6	46		+0.6	15		30
Feb.	4	−0.1	0.72	6		−4.5	0.51	24		−1.2	14		−2.6	45		+0.6	15	Feb.	4
	9	−0.1	0.78	6		−4.5	0.54	23		−1.1	14		−2.6	45		+0.6	15		9
	14	−0.2	0.83	5		−4.4	0.56	22		−1.0	13		−2.5	44		+0.6	15		14
	19	−0.3	0.87	5		−4.4	0.58	21		−0.8	13		−2.5	44		+0.6	15		19
	24	−0.4	0.90	5		−4.3	0.60	20		−0.7	12		−2.5	43		+0.6	16		24
Mar.	1	−0.6	0.94	5		−4.3	0.62	19		−0.6	12		−2.4	43		+0.6	16	Mar.	1
	6	−0.9	0.96	5		−4.3	0.64	18		−0.4	11		−2.4	42		+0.6	16		6
	11	−1.3	0.99	5		−4.2	0.66	18		−0.3	11		−2.4	41		+0.6	16		11
	16	−1.8	1.00	5		−4.2	0.68	17		−0.2	10		−2.3	41		+0.6	16		16
	21	−1.7	0.98	5		−4.1	0.70	16		0.0	10		−2.3	40		+0.6	16		21
	26	−1.4	0.92	5		−4.1	0.71	16		+0.1	10		−2.3	39		+0.6	16		26
	31	−1.1	0.78	6		−4.1	0.73	15		+0.2	9		−2.2	39		+0.6	16		31
Apr.	5	−0.6	0.60	7		−4.0	0.75	15		+0.3	9		−2.2	38		+0.6	16	Apr.	5
	10	0.0	0.42	8		−4.0	0.76	14		+0.4	8		−2.2	37		+0.6	17		10
	15	+0.9	0.25	9		−4.0	0.78	14		+0.5	8		−2.1	37		+0.6	17		15
	20	+2.1	0.12	10		−4.0	0.79	14		+0.6	8		−2.1	36		+0.5	17		20
	25	+3.8	0.03	11		−4.0	0.80	13		+0.7	7		−2.1	36		+0.5	17		25
	30	…	0.00	12		−3.9	0.82	13		+0.7	7		−2.0	35		+0.5	17		30
May	5	+4.3	0.02	12		−3.9	0.83	13		+0.8	7		−2.0	35		+0.5	17	May	5
	10	+2.8	0.08	11		−3.9	0.84	12		+0.9	7		−2.0	35		+0.5	17		10
	15	+1.9	0.16	11		−3.9	0.85	12		+1.0	7		−2.0	34		+0.4	18		15
	20	+1.2	0.25	10		−3.9	0.87	12		+1.0	6		−1.9	34		+0.4	18		20
	25	+0.8	0.34	9		−3.9	0.88	12		+1.1	6		−1.9	33		+0.4	18		25
	30	+0.4	0.43	8		−3.9	0.89	11		+1.1	6		−1.9	33		+0.3	18		30
Jun.	4	+0.1	0.53	7		−3.9	0.90	11		+1.2	6		−1.9	33		+0.3	18	Jun.	4
	9	−0.3	0.63	6		−3.9	0.91	11		+1.2	6		−1.9	33		+0.3	18		9
	14	−0.7	0.75	6		−3.8	0.92	11		+1.3	6		−1.8	32		+0.2	18		14
	19	−1.1	0.86	5		−3.8	0.93	11		+1.3	5		−1.8	32		+0.2	18		19
	24	−1.6	0.96	5		−3.8	0.93	11		+1.3	5		−1.8	32		+0.2	18		24
	29	−2.2	1.00	5		−3.8	0.94	11		+1.4	5		−1.8	32		+0.1	18		29
Jul.	4	−1.7	0.98	5		−3.8	0.95	10		+1.4	5		−1.8	32		+0.1	18	Jul.	4
	9	−1.1	0.92	5		−3.8	0.96	10		+1.4	5		−1.8	32		+0.1	19		9
	14	−0.7	0.85	5		−3.8	0.96	10		+1.4	5		−1.8	31		+0.1	19		14
	19	−0.4	0.78	6		−3.9	0.97	10		+1.5	5		−1.8	31		+0.1	19		19
	24	−0.1	0.71	6		−3.9	0.98	10		+1.5	5		−1.8	31		+0.1	18		24
	29	+0.1	0.64	6		−3.9	0.98	10		+1.5	5		−1.8	31		+0.1	18		29
Aug.	3	+0.2	0.57	7		−3.9	0.99	10		+1.5	5		−1.8	31		+0.2	18	Aug.	3
	8	+0.4	0.50	7		−3.9	0.99	10		+1.5	5		−1.8	31		+0.2	18		8
	13	+0.6	0.42	8		−3.9	0.99	10		+1.5	5		−1.8	31		+0.2	18		13
	18	+0.8	0.32	9		−3.9	0.99	10		+1.5	4		−1.8	32		+0.2	18		18
	23	+1.4	0.22	10		−3.9	1.00	10		+1.5	4		−1.8	32		+0.3	18		23
	28	+2.3	0.11	10		−3.9	1.00	10		+1.5	4		−1.8	32		+0.3	18		28
Sep.	2	+4.0	0.03	11		−3.9	1.00	10		+1.5	4		−1.8	32		+0.3	18	Sep.	2
	7	+4.4	0.01	10		…	1.00	10		+1.5	4		−1.8	32		+0.4	18		7
	12	+2.1	0.11	9		−3.9	1.00	10		+1.5	4		−1.8	32		+0.4	18		12
	17	+0.4	0.30	8		−3.9	1.00	10		+1.5	4		−1.9	33		+0.4	17		17
	22	−0.5	0.53	7		−3.9	1.00	10		+1.5	4		−1.9	33		+0.4	17		22
	27	−0.9	0.73	6		−3.9	1.00	10		+1.5	4		−1.9	33		+0.5	17		27
Oct.	2	−1.1	0.87	5		−3.9	0.99	10		+1.5	4		−1.9	34		+0.5	17	Oct.	2
	7	−1.2	0.95	5		−3.9	0.99	10		+1.5	4		−1.9	34		+0.5	17		7
	12	−1.3	0.99	5		−3.9	0.99	10		+1.5	4		−1.9	34		+0.5	17		12
	17	−1.4	1.00	5		−3.9	0.98	10		+1.5	4		−2.0	35		+0.5	17		17
	22	−1.2	1.00	5		−3.9	0.98	10		+1.5	4		−2.0	35		+0.6	16		22
	27	−0.9	0.99	5		−3.9	0.98	10		+1.4	4		−2.0	36		+0.6	16		27
Nov.	1	−0.7	0.98	5		−3.9	0.97	10		+1.4	4		−2.1	36		+0.6	16	Nov.	1
	6	−0.6	0.96	5		−3.9	0.97	10		+1.4	4		−2.1	37		+0.6	16		6
	11	−0.5	0.93	5		−3.9	0.96	10		+1.4	4		−2.1	37		+0.6	16		11
	16	−0.4	0.90	5		−3.9	0.96	10		+1.4	4		−2.1	38		+0.6	16		16
	21	−0.4	0.85	5		−3.9	0.95	11		+1.4	4		−2.2	38		+0.6	16		21
	26	−0.4	0.78	6		−3.9	0.94	11		+1.3	4		−2.2	39		+0.6	16		26
Dec.	1	−0.4	0.68	6		−3.9	0.94	11		+1.3	4		−2.2	40		+0.6	16	Dec.	1
	6	−0.3	0.54	7		−3.9	0.93	11		+1.3	4		−2.3	40		+0.6	15		6
	11	+0.2	0.34	8		−3.9	0.92	11		+1.3	4		−2.3	41		+0.6	15		11
	16	+1.8	0.12	9		−3.9	0.91	11		+1.3	4		−2.3	41		+0.6	15		16
	21	…	0.00	10		−3.9	0.90	11		+1.2	4		−2.4	42		+0.6	15		21
	26	+2.2	0.09	10		−3.9	0.89	12		+1.2	4		−2.4	43		+0.6	15		26
	31	+0.6	0.29	9		−3.9	0.89	12		+1.2	4		−2.4	43		+0.6	15		31
	36	0.0	0.47	8		−3.9	0.88	12		+1.2	4		−2.5	44		+0.6	15		36

Declinations of the Sun, Moon and planets in 1931

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

Declinations of the Sun and planets in 1931

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

Declination of the Sun in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−23.2	−17.7	−8.4	+3.7	+14.4	+21.7	+23.3	+18.6	+9.1	−2.3	−13.7	−21.5	0
1	−23.1	−17.4	−8.0	+4.1	+14.7	+21.9	+23.2	+18.3	+8.7	−2.7	−14.1	−21.6	1
2	−23.0	−17.2	−7.7	+4.5	+15.0	+22.0	+23.1	+18.1	+8.4	−3.1	−14.4	−21.8	2
3	−22.9	−16.9	−7.3	+4.9	+15.3	+22.2	+23.1	+17.8	+8.0	−3.5	−14.7	−21.9	3
4	−22.8	−16.6	−6.9	+5.2	+15.6	+22.3	+23.0	+17.6	+7.6	−3.9	−15.0	−22.1	4
5	−22.7	−16.3	−6.5	+5.6	+15.9	+22.4	+22.9	+17.3	+7.3	−4.3	−15.3	−22.2	5
6	−22.6	−16.0	−6.1	+6.0	+16.2	+22.5	+22.8	+17.0	+6.9	−4.7	−15.6	−22.4	6
7	−22.5	−15.7	−5.7	+6.4	+16.5	+22.6	+22.7	+16.8	+6.5	−5.0	−15.9	−22.5	7
8	−22.4	−15.4	−5.3	+6.8	+16.8	+22.7	+22.6	+16.5	+6.2	−5.4	−16.2	−22.6	8
9	−22.3	−15.0	−5.0	+7.1	+17.0	+22.8	+22.5	+16.2	+5.8	−5.8	−16.5	−22.7	9
10	−22.1	−14.7	−4.6	+7.5	+17.3	+22.9	+22.4	+15.9	+5.4	−6.2	−16.8	−22.8	10
11	−22.0	−14.4	−4.2	+7.9	+17.6	+23.0	+22.3	+15.6	+5.0	−6.6	−17.1	−22.9	11
12	−21.8	−14.1	−3.8	+8.2	+17.8	+23.1	+22.1	+15.3	+4.6	−7.0	−17.4	−23.0	12
13	−21.7	−13.8	−3.4	+8.6	+18.1	+23.1	+22.0	+15.0	+4.3	−7.3	−17.7	−23.1	13
14	−21.5	−13.4	−3.0	+9.0	+18.3	+23.2	+21.9	+14.7	+3.9	−7.7	−17.9	−23.1	14
15	−21.3	−13.1	−2.6	+9.3	+18.6	+23.3	+21.7	+14.4	+3.5	−8.1	−18.2	−23.2	15
16	−21.2	−12.7	−2.2	+9.7	+18.8	+23.3	+21.6	+14.1	+3.1	−8.4	−18.4	−23.3	16
17	−21.0	−12.4	−1.8	+10.1	+19.1	+23.4	+21.4	+13.8	+2.7	−8.8	−18.7	−23.3	17
18	−20.8	−12.0	−1.4	+10.4	+19.3	+23.4	+21.2	+13.5	+2.3	−9.2	−18.9	−23.4	18
19	−20.6	−11.7	−1.0	+10.8	+19.5	+23.4	+21.1	+13.2	+1.9	−9.6	−19.2	−23.4	19
20	−20.4	−11.3	−0.6	+11.1	+19.7	+23.4	+20.9	+12.9	+1.6	−9.9	−19.4	−23.4	20
21	−20.2	−11.0	−0.2	+11.5	+19.9	+23.4	+20.7	+12.5	+1.2	−10.3	−19.7	−23.4	21
22	−19.9	−10.6	+0.2	+11.8	+20.1	+23.5	+20.5	+12.2	+0.8	−10.6	−19.9	−23.4	22
23	−19.7	−10.3	+0.6	+12.1	+20.4	+23.4	+20.3	+11.9	+0.4	−11.0	−20.1	−23.5	23
24	−19.5	−9.9	+1.0	+12.5	+20.5	+23.4	+20.1	+11.5	0.0	−11.3	−20.3	−23.4	24
25	−19.3	−9.5	+1.3	+12.8	+20.7	+23.4	+19.9	+11.2	−0.4	−11.7	−20.5	−23.4	25
26	−19.0	−9.2	+1.7	+13.1	+20.9	+23.4	+19.7	+10.8	−0.8	−12.0	−20.7	−23.4	26
27	−18.8	−8.8	+2.1	+13.5	+21.1	+23.4	+19.5	+10.5	−1.2	−12.4	−20.9	−23.4	27
28	−18.5	−8.4	+2.5	+13.8	+21.3	+23.3	+19.3	+10.1	−1.6	−12.7	−21.1	−23.3	28
29	−18.2	−8.0	+2.9	+14.1	+21.4	+23.3	+19.0	+9.8	−1.9	−13.1	−21.3	−23.3	29
30	−18.0	−7.7	+3.3	+14.4	+21.6	+23.3	+18.8	+9.4	−2.3	−13.4	−21.5	−23.2	30
31	−17.7	−7.3	+3.7	+14.7	+21.7	+23.2	+18.6	+9.1	−2.7	−13.7	−21.6	−23.2	31
32	−17.4	−6.9	+4.1	+15.0	+21.9	+23.1	+18.3	+8.7	−3.1	−14.1	−21.8	−23.1	32

Declination of the Moon in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+16.7	+28.2	+28.4	+15.2	−2.8	−24.0	−28.3	−17.0	+3.3	+17.8	+28.6	+23.8	0
1	+21.4	+27.8	+26.9	+8.6	−9.7	−27.0	−26.9	−11.9	+8.9	+22.1	+28.3	+19.5	1
2	+25.1	+25.4	+23.5	+1.5	−16.0	−28.4	−24.1	−6.5	+14.2	+25.5	+26.5	+14.1	2
3	+27.5	+21.3	+18.5	−5.8	−21.4	−28.0	−20.2	−0.8	+19.0	+27.8	+23.2	+8.0	3
4	+28.2	+15.7	+12.3	−12.6	−25.4	−26.1	−15.5	+4.8	+23.1	+28.7	+18.5	+1.3	4
5	+26.9	+9.1	+5.3	−18.6	−27.8	−23.0	−10.4	+10.3	+26.2	+28.1	+12.8	−5.5	5
6	+23.8	+2.2	−1.9	−23.4	−28.5	−18.9	−4.9	+15.5	+28.2	+25.8	+6.2	−12.1	6
7	+19.1	−4.8	−9.0	−26.7	−27.6	−14.1	+0.7	+20.1	+28.6	+22.0	−0.8	−18.1	7
8	+13.3	−11.3	−15.3	−28.4	−25.3	−8.8	+6.3	+24.0	+27.4	+16.8	−7.8	−23.1	8
9	+6.8	−17.1	−20.7	−28.4	−21.8	−3.3	+11.8	+26.9	+24.5	+10.5	−14.5	−26.6	9
10	+0.1	−21.9	−24.8	−27.0	−17.5	+2.4	+16.9	+28.4	+20.0	+3.4	−20.3	−28.3	10
11	−6.5	−25.5	−27.4	−24.3	−12.5	+8.0	+21.4	+28.3	+14.1	−3.9	−24.8	−28.2	11
12	−12.7	−27.7	−28.5	−20.6	−7.2	+13.4	+25.0	+26.3	+7.3	−11.0	−27.6	−26.3	12
13	−18.1	−28.4	−28.1	−16.1	−1.6	+18.4	+27.5	+22.6	+0.1	−17.4	−28.6	−23.0	13
14	−22.6	−27.7	−26.3	−11.1	+4.1	+22.7	+28.4	+17.5	−7.2	−22.6	−27.7	−18.7	14
15	−25.9	−25.6	−23.4	−5.6	+9.7	+26.0	+27.6	+11.2	−13.9	−26.4	−25.3	−13.7	15
16	−27.8	−22.4	−19.5	0.0	+15.0	+28.0	+25.0	+4.3	−19.7	−28.4	−21.7	−8.3	16
17	−28.2	−18.3	−14.8	+5.7	+19.8	+28.3	+20.7	−2.8	−24.3	−28.6	−17.2	−2.7	17
18	−27.2	−13.5	−9.6	+11.3	+23.9	+26.9	+15.2	−9.7	−27.3	−27.2	−12.1	+3.0	18
19	−24.8	−8.3	−4.1	+16.5	+26.8	+23.8	+8.9	−15.9	−28.6	−24.4	−6.7	+8.5	19
20	−21.4	−2.7	+1.5	+21.1	+28.3	+19.3	+2.1	−21.2	−28.3	−20.5	−1.1	+13.8	20
21	−17.1	+2.9	+7.2	+24.8	+28.2	+13.7	−4.7	−25.2	−26.5	−15.9	+4.6	+18.6	21
22	−12.2	+8.5	+12.7	+27.4	+26.4	+7.4	−11.2	−27.7	−23.5	−10.7	+10.1	+22.7	22
23	−6.9	+13.8	+17.7	+28.5	+23.0	+0.7	−17.1	−28.6	−19.4	−5.2	+15.3	+25.9	23
24	−1.4	+18.7	+22.1	+28.1	+18.3	−6.0	−22.0	−27.9	−14.7	+0.4	+19.9	+27.9	24
25	+4.3	+23.0	+25.6	+25.9	+12.5	−12.4	−25.7	−25.8	−9.4	+6.1	+23.8	+28.4	25
26	+9.8	+26.2	+27.8	+22.2	+6.1	−18.1	−27.9	−22.5	−3.8	+11.5	+26.7	+27.3	26
27	+15.1	+28.1	+28.6	+17.1	−0.7	−22.8	−28.5	−18.3	+1.9	+16.6	+28.3	+24.6	27
28	+19.9	+28.4	+27.7	+11.0	−7.5	−26.2	−27.5	−13.3	+7.5	+21.1	+28.3	+20.5	28
29	+23.9	+26.9	+25.1	+4.3	−13.9	−28.1	−25.0	−8.0	+12.9	+24.8	+26.8	+15.2	29
30	+26.8	+23.5	+20.8	−2.8	−19.5	−28.3	−21.4	−2.3	+17.8	+27.3	+23.8	+9.1	30
31	+28.2	+18.5	+15.2	−9.7	−24.0	−26.9	−17.0	+3.3	+22.1	+28.6	+19.5	+2.6	31
32	+27.8	+12.3	+8.6	−16.0	−27.0	−24.1	−11.9	+8.9	+25.5	+28.3	+14.1	−4.1	32

Declination of Mercury in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−20.8	−21.9	−15.1	+10.2	+15.5	+12.9	+24.5	+10.4	+1.4	+5.0	−16.7	−25.8	0
1	−20.6	−21.9	−14.5	+11.1	+15.0	+13.3	+24.5	+9.8	+1.7	+4.3	−17.2	−25.8	1
2	−20.4	−21.9	−13.9	+11.9	+14.5	+13.7	+24.4	+9.2	+2.2	+3.7	−17.8	−25.8	2
3	−20.2	−21.9	−13.3	+12.6	+14.1	+14.2	+24.3	+8.6	+2.7	+3.0	−18.3	−25.7	3
4	−20.1	−21.9	−12.7	+13.4	+13.6	+14.6	+24.1	+8.0	+3.2	+2.3	−18.8	−25.6	4
5	−20.0	−21.9	−12.1	+14.1	+13.1	+15.1	+23.9	+7.4	+3.7	+1.6	−19.3	−25.5	5
6	−19.9	−21.8	−11.4	+14.7	+12.7	+15.6	+23.7	+6.8	+4.3	+0.8	−19.8	−25.3	6
7	−19.8	−21.7	−10.7	+15.3	+12.3	+16.1	+23.4	+6.3	+4.9	+0.1	−20.3	−25.2	7
8	−19.8	−21.6	−10.0	+15.9	+11.9	+16.6	+23.1	+5.7	+5.5	−0.7	−20.8	−25.0	8
9	−19.8	−21.5	−9.3	+16.4	+11.5	+17.1	+22.7	+5.2	+6.0	−1.4	−21.2	−24.8	9
10	−19.8	−21.3	−8.5	+16.8	+11.2	+17.6	+22.3	+4.7	+6.6	−2.2	−21.6	−24.6	10
11	−19.8	−21.2	−7.7	+17.2	+10.9	+18.1	+21.9	+4.2	+7.1	−3.0	−22.0	−24.3	11
12	−19.9	−21.0	−6.9	+17.6	+10.6	+18.6	+21.4	+3.7	+7.5	−3.7	−22.4	−24.1	12
13	−19.9	−20.8	−6.1	+17.9	+10.4	+19.1	+21.0	+3.2	+7.9	−4.5	−22.8	−23.8	13
14	−20.0	−20.6	−5.3	+18.2	+10.2	+19.6	+20.5	+2.8	+8.3	−5.2	−23.1	−23.6	14
15	−20.1	−20.3	−4.4	+18.4	+10.1	+20.1	+20.0	+2.4	+8.6	−6.0	−23.5	−23.3	15
16	−20.2	−20.0	−3.6	+18.5	+10.0	+20.6	+19.4	+2.0	+8.8	−6.7	−23.8	−23.0	16
17	−20.4	−19.7	−2.7	+18.6	+10.0	+21.1	+18.9	+1.6	+8.9	−7.4	−24.1	−22.7	17
18	−20.5	−19.4	−1.8	+18.7	+10.0	+21.5	+18.3	+1.3	+9.0	−8.2	−24.3	−22.4	18
19	−20.6	−19.1	−0.9	+18.7	+10.0	+22.0	+17.8	+1.0	+9.0	−8.9	−24.6	−22.1	19
20	−20.8	−18.7	0.0	+18.6	+10.1	+22.4	+17.2	+0.8	+9.0	−9.6	−24.8	−21.8	20
21	−20.9	−18.4	+1.0	+18.5	+10.2	+22.8	+16.6	+0.6	+8.8	−10.3	−25.0	−21.5	21
22	−21.1	−17.9	+1.9	+18.3	+10.3	+23.1	+16.0	+0.4	+8.6	−11.0	−25.2	−21.2	22
23	−21.2	−17.5	+2.9	+18.1	+10.5	+23.4	+15.4	+0.3	+8.4	−11.7	−25.4	−20.9	23
24	−21.3	−17.1	+3.8	+17.8	+10.7	+23.7	+14.8	+0.2	+8.0	−12.3	−25.5	−20.7	24
25	−21.4	−16.6	+4.8	+17.5	+10.9	+24.0	+14.1	+0.2	+7.6	−13.0	−25.6	−20.5	25
26	−21.5	−16.1	+5.7	+17.2	+11.2	+24.2	+13.5	+0.3	+7.2	−13.6	−25.7	−20.3	26
27	−21.6	−15.6	+6.6	+16.8	+11.5	+24.3	+12.9	+0.4	+6.7	−14.3	−25.8	−20.2	27
28	−21.7	−15.1	+7.6	+16.4	+11.8	+24.4	+12.3	+0.5	+6.2	−14.9	−25.8	−20.1	28
29	−21.8	−14.5	+8.5	+16.0	+12.1	+24.5	+11.6	+0.7	+5.6	−15.5	−25.9	−20.0	29
30	−21.9	−13.9	+9.4	+15.5	+12.5	+24.5	+11.0	+1.0	+5.0	−16.1	−25.8	−20.0	30
31	−21.9	−13.3	+10.2	+15.0	+12.9	+24.5	+10.4	+1.4	+4.3	−16.7	−25.8	−20.1	31
32	−21.9	−12.7	+11.1	+14.5	+13.3	+24.4	+9.8	+1.7	+3.7	−17.2	−25.8	−20.1	32

Declination of Venus in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−15.7	−19.6	−19.7	−12.2	+0.4	+13.9	+22.3	+21.5	+11.2	−3.5	−17.7	−24.5	0
1	−15.8	−19.7	−19.6	−11.8	+0.8	+14.3	+22.4	+21.3	+10.7	−4.0	−18.1	−24.5	1
2	−15.9	−19.8	−19.4	−11.5	+1.3	+14.7	+22.6	+21.1	+10.3	−4.6	−18.4	−24.6	2
3	−15.9	−19.9	−19.3	−11.1	+1.7	+15.0	+22.7	+20.9	+9.8	−5.1	−18.8	−24.6	3
4	−16.1	−20.0	−19.2	−10.7	+2.2	+15.4	+22.8	+20.7	+9.4	−5.6	−19.1	−24.6	4
5	−16.2	−20.0	−19.0	−10.3	+2.7	+15.8	+22.9	+20.4	+8.9	−6.1	−19.4	−24.6	5
6	−16.3	−20.1	−18.8	−10.0	+3.1	+16.1	+23.0	+20.2	+8.4	−6.6	−19.8	−24.6	6
7	−16.4	−20.2	−18.7	−9.6	+3.6	+16.5	+23.1	+19.9	+7.9	−7.0	−20.1	−24.6	7
8	−16.5	−20.2	−18.5	−9.2	+4.0	+16.8	+23.1	+19.6	+7.5	−7.5	−20.4	−24.5	8
9	−16.7	−20.3	−18.3	−8.8	+4.5	+17.1	+23.2	+19.4	+7.0	−8.0	−20.7	−24.5	9
10	−16.8	−20.3	−18.1	−8.4	+4.9	+17.5	+23.2	+19.1	+6.5	−8.5	−21.0	−24.4	10
11	−16.9	−20.3	−17.9	−8.0	+5.4	+17.8	+23.2	+18.8	+6.0	−9.0	−21.3	−24.3	11
12	−17.1	−20.4	−17.7	−7.5	+5.8	+18.1	+23.3	+18.5	+5.5	−9.5	−21.5	−24.2	12
13	−17.2	−20.4	−17.5	−7.1	+6.3	+18.4	+23.3	+18.1	+5.0	−10.0	−21.8	−24.1	13
14	−17.4	−20.4	−17.2	−6.7	+6.7	+18.7	+23.3	+17.8	+4.5	−10.4	−22.0	−24.0	14
15	−17.5	−20.4	−17.0	−6.3	+7.2	+19.0	+23.3	+17.5	+4.0	−10.9	−22.3	−23.9	15
16	−17.7	−20.4	−16.8	−5.9	+7.6	+19.3	+23.2	+17.1	+3.5	−11.4	−22.5	−23.8	16
17	−17.8	−20.4	−16.5	−5.4	+8.1	+19.5	+23.2	+16.8	+3.0	−11.8	−22.7	−23.6	17
18	−17.9	−20.4	−16.2	−5.0	+8.5	+19.8	+23.2	+16.4	+2.5	−12.3	−22.9	−23.5	18
19	−18.1	−20.3	−16.0	−4.6	+8.9	+20.1	+23.1	+16.1	+2.0	−12.7	−23.1	−23.3	19
20	−18.2	−20.3	−15.7	−4.1	+9.4	+20.3	+23.0	+15.7	+1.5	−13.2	−23.3	−23.1	20
21	−18.4	−20.3	−15.4	−3.7	+9.8	+20.6	+22.9	+15.3	+1.0	−13.6	−23.5	−22.9	21
22	−18.5	−20.2	−15.1	−3.2	+10.2	+20.8	+22.9	+14.9	+0.5	−14.1	−23.6	−22.7	22
23	−18.6	−20.1	−14.8	−2.8	+10.7	+21.0	+22.8	+14.5	0.0	−14.5	−23.8	−22.5	23
24	−18.8	−20.1	−14.5	−2.3	+11.1	+21.2	+22.6	+14.1	−0.5	−14.9	−23.9	−22.3	24
25	−18.9	−20.0	−14.2	−1.9	+11.5	+21.4	+22.5	+13.7	−1.0	−15.3	−24.0	−22.0	25
26	−19.0	−19.9	−13.9	−1.4	+11.9	+21.6	+22.4	+13.3	−1.5	−15.7	−24.1	−21.8	26
27	−19.1	−19.8	−13.6	−1.0	+12.3	+21.8	+22.2	+12.9	−2.0	−16.1	−24.2	−21.5	27
28	−19.3	−19.7	−13.2	−0.5	+12.7	+22.0	+22.1	+12.5	−2.5	−16.5	−24.3	−21.2	28
29	−19.4	−19.6	−12.9	−0.1	+13.1	+22.1	+21.9	+12.0	−3.0	−16.9	−24.4	−20.9	29
30	−19.5	−19.4	−12.5	+0.4	+13.5	+22.3	+21.7	+11.6	−3.5	−17.3	−24.5	−20.7	30
31	−19.6	−19.3	−12.2	+0.8	+13.9	+22.4	+21.5	+11.2	−4.0	−17.7	−24.5	−20.3	31
32	−19.7	−19.2	−11.8	+1.3	+14.3	+22.6	+21.3	+10.7	−4.6	−18.1	−24.6	−20.0	32

Declination of Mars in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+19.7	+23.2	+24.5	+23.0	+19.7	+14.7	+8.4	+0.9	−7.2	−14.6	−20.8	−24.0	0
1	+19.8	+23.3	+24.4	+22.9	+19.6	+14.5	+8.2	+0.6	−7.4	−14.8	−20.9	−24.1	1
2	+19.9	+23.4	+24.4	+22.8	+19.5	+14.4	+8.0	+0.4	−7.7	−15.0	−21.1	−24.1	2
3	+20.0	+23.5	+24.4	+22.7	+19.3	+14.2	+7.8	+0.1	−7.9	−15.3	−21.2	−24.1	3
4	+20.1	+23.6	+24.4	+22.6	+19.2	+14.0	+7.5	−0.2	−8.2	−15.5	−21.4	−24.2	4
5	+20.2	+23.7	+24.4	+22.5	+19.0	+13.8	+7.3	−0.4	−8.4	−15.7	−21.5	−24.2	5
6	+20.3	+23.8	+24.3	+22.4	+18.9	+13.6	+7.0	−0.7	−8.7	−15.9	−21.7	−24.2	6
7	+20.4	+23.8	+24.3	+22.3	+18.7	+13.4	+6.8	−0.9	−9.0	−16.1	−21.8	−24.3	7
8	+20.5	+23.9	+24.3	+22.3	+18.6	+13.2	+6.6	−1.2	−9.2	−16.4	−21.9	−24.3	8
9	+20.6	+24.0	+24.3	+22.2	+18.5	+13.0	+6.3	−1.4	−9.5	−16.6	−22.1	−24.3	9
10	+20.7	+24.0	+24.2	+22.1	+18.3	+12.8	+6.1	−1.7	−9.7	−16.8	−22.2	−24.3	10
11	+20.9	+24.1	+24.2	+22.0	+18.1	+12.6	+5.9	−2.0	−10.0	−17.0	−22.3	−24.3	11
12	+21.0	+24.1	+24.1	+21.9	+18.0	+12.4	+5.6	−2.2	−10.2	−17.2	−22.4	−24.3	12
13	+21.1	+24.2	+24.1	+21.8	+17.8	+12.2	+5.4	−2.5	−10.5	−17.4	−22.6	−24.3	13
14	+21.2	+24.2	+24.0	+21.7	+17.7	+12.0	+5.1	−2.7	−10.7	−17.6	−22.7	−24.3	14
15	+21.4	+24.3	+24.0	+21.5	+17.5	+11.7	+4.9	−3.0	−11.0	−17.8	−22.8	−24.3	15
16	+21.5	+24.3	+23.9	+21.4	+17.4	+11.5	+4.6	−3.3	−11.2	−18.0	−22.9	−24.3	16
17	+21.6	+24.4	+23.9	+21.3	+17.2	+11.3	+4.4	−3.5	−11.5	−18.2	−23.0	−24.2	17
18	+21.7	+24.4	+23.8	+21.2	+17.0	+11.1	+4.1	−3.8	−11.7	−18.4	−23.1	−24.2	18
19	+21.9	+24.4	+23.8	+21.1	+16.9	+10.9	+3.9	−4.0	−12.0	−18.6	−23.2	−24.2	19
20	+22.0	+24.4	+23.7	+21.0	+16.7	+10.7	+3.7	−4.3	−12.2	−18.8	−23.3	−24.1	20
21	+22.1	+24.4	+23.7	+20.9	+16.5	+10.5	+3.4	−4.6	−12.4	−19.0	−23.4	−24.1	21
22	+22.2	+24.5	+23.6	+20.8	+16.4	+10.2	+3.2	−4.8	−12.7	−19.2	−23.5	−24.1	22
23	+22.4	+24.5	+23.5	+20.6	+16.2	+10.0	+2.9	−5.1	−12.9	−19.4	−23.6	−24.0	23
24	+22.5	+24.5	+23.5	+20.5	+16.0	+9.8	+2.7	−5.3	−13.2	−19.6	−23.6	−24.0	24
25	+22.6	+24.5	+23.4	+20.4	+15.8	+9.6	+2.4	−5.6	−13.4	−19.7	−23.7	−23.9	25
26	+22.7	+24.5	+23.3	+20.3	+15.6	+9.4	+2.1	−5.9	−13.6	−19.9	−23.8	−23.8	26
27	+22.8	+24.5	+23.3	+20.1	+15.5	+9.1	+1.9	−6.1	−13.9	−20.1	−23.8	−23.8	27
28	+22.9	+24.5	+23.2	+20.0	+15.3	+8.9	+1.6	−6.4	−14.1	−20.3	−23.9	−23.7	28
29	+23.0	+24.4	+23.1	+19.9	+15.1	+8.7	+1.4	−6.6	−14.3	−20.4	−24.0	−23.6	29
30	+23.1	+24.4	+23.0	+19.7	+14.9	+8.4	+1.1	−6.9	−14.6	−20.6	−24.0	−23.5	30
31	+23.2	+24.4	+23.0	+19.6	+14.7	+8.2	+0.9	−7.2	−14.8	−20.8	−24.1	−23.5	31
32	+23.3	+24.4	+22.9	+19.5	+14.5	+8.0	+0.6	−7.4	−15.0	−20.9	−24.1	−23.4	32

Declination of Jupiter in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+22.6	+23.1	+23.3	+23.3	+23.0	+22.3	+21.3	+19.9	+18.3	+16.7	+15.4	+14.7	0
1	+22.6	+23.1	+23.3	+23.3	+22.9	+22.3	+21.3	+19.8	+18.2	+16.6	+15.3	+14.7	1
2	+22.6	+23.1	+23.3	+23.2	+22.9	+22.2	+21.2	+19.8	+18.2	+16.6	+15.3	+14.7	2
3	+22.6	+23.1	+23.3	+23.2	+22.9	+22.2	+21.2	+19.7	+18.1	+16.5	+15.3	+14.7	3
4	+22.7	+23.1	+23.3	+23.2	+22.9	+22.2	+21.1	+19.7	+18.1	+16.5	+15.2	+14.7	4
5	+22.7	+23.1	+23.3	+23.2	+22.9	+22.2	+21.1	+19.6	+18.0	+16.4	+15.2	+14.7	5
6	+22.7	+23.1	+23.3	+23.2	+22.9	+22.1	+21.0	+19.6	+17.9	+16.4	+15.2	+14.7	6
7	+22.7	+23.2	+23.3	+23.2	+22.8	+22.1	+21.0	+19.5	+17.9	+16.3	+15.1	+14.7	7
8	+22.7	+23.2	+23.3	+23.2	+22.8	+22.1	+21.0	+19.5	+17.8	+16.3	+15.1	+14.7	8
9	+22.8	+23.2	+23.3	+23.2	+22.8	+22.0	+20.9	+19.4	+17.8	+16.3	+15.1	+14.7	9
10	+22.8	+23.2	+23.3	+23.2	+22.8	+22.0	+20.9	+19.4	+17.7	+16.2	+15.1	+14.7	10
11	+22.8	+23.2	+23.3	+23.2	+22.8	+22.0	+20.8	+19.3	+17.7	+16.2	+15.0	+14.7	11
12	+22.8	+23.2	+23.3	+23.2	+22.7	+21.9	+20.8	+19.3	+17.6	+16.1	+15.0	+14.7	12
13	+22.8	+23.2	+23.3	+23.2	+22.7	+21.9	+20.7	+19.2	+17.6	+16.1	+15.0	+14.7	13
14	+22.8	+23.2	+23.3	+23.2	+22.7	+21.9	+20.7	+19.2	+17.5	+16.0	+15.0	+14.7	14
15	+22.9	+23.2	+23.3	+23.1	+22.7	+21.8	+20.7	+19.1	+17.5	+16.0	+14.9	+14.8	15
16	+22.9	+23.2	+23.3	+23.1	+22.7	+21.8	+20.6	+19.1	+17.4	+15.9	+14.9	+14.8	16
17	+22.9	+23.2	+23.3	+23.1	+22.6	+21.8	+20.6	+19.0	+17.4	+15.9	+14.9	+14.8	17
18	+22.9	+23.2	+23.3	+23.1	+22.6	+21.7	+20.5	+19.0	+17.3	+15.9	+14.9	+14.8	18
19	+22.9	+23.2	+23.3	+23.1	+22.6	+21.7	+20.5	+18.9	+17.2	+15.8	+14.9	+14.8	19
20	+22.9	+23.3	+23.3	+23.1	+22.6	+21.7	+20.4	+18.9	+17.2	+15.8	+14.8	+14.8	20
21	+22.9	+23.3	+23.3	+23.1	+22.6	+21.6	+20.4	+18.8	+17.1	+15.7	+14.8	+14.8	21
22	+23.0	+23.3	+23.3	+23.1	+22.5	+21.6	+20.3	+18.8	+17.1	+15.7	+14.8	+14.8	22
23	+23.0	+23.3	+23.3	+23.1	+22.5	+21.6	+20.3	+18.7	+17.0	+15.7	+14.8	+14.9	23
24	+23.0	+23.3	+23.3	+23.0	+22.5	+21.5	+20.2	+18.6	+17.0	+15.6	+14.8	+14.9	24
25	+23.0	+23.3	+23.3	+23.0	+22.5	+21.5	+20.2	+18.6	+16.9	+15.6	+14.8	+14.9	25
26	+23.0	+23.3	+23.3	+23.0	+22.4	+21.4	+20.1	+18.5	+16.9	+15.5	+14.8	+14.9	26
27	+23.0	+23.3	+23.3	+23.0	+22.4	+21.4	+20.1	+18.5	+16.8	+15.5	+14.8	+14.9	27
28	+23.0	+23.3	+23.3	+23.0	+22.4	+21.4	+20.0	+18.4	+16.8	+15.5	+14.7	+15.0	28
29	+23.1	+23.3	+23.3	+23.0	+22.4	+21.3	+20.0	+18.4	+16.7	+15.4	+14.7	+15.0	29
30	+23.1	+23.3	+23.3	+23.0	+22.3	+21.3	+19.9	+18.3	+16.7	+15.4	+14.7	+15.0	30
31	+23.1	+23.3	+23.3	+22.9	+22.3	+21.3	+19.9	+18.3	+16.6	+15.4	+14.7	+15.0	31
32	+23.1	+23.3	+23.3	+22.9	+22.3	+21.2	+19.8	+18.2	+16.6	+15.3	+14.7	+15.1	32

Declination of Saturn in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	−22.4	−22.0	−21.7	−21.3	−21.2	−21.3	−21.7	−22.0	−22.3	−22.4	−22.3	−22.0	0
10	−22.3	−21.9	−21.5	−21.3	−21.2	−21.4	−21.8	−22.1	−22.3	−22.4	−22.2	−21.8	10
20	−22.2	−21.8	−21.4	−21.2	−21.3	−21.5	−21.9	−22.2	−22.4	−22.3	−22.1	−21.7	20
30	−22.0	−21.6	−21.3	−21.2	−21.3	−21.7	−22.0	−22.3	−22.4	−22.3	−22.0	−21.5	30
40	−21.9	−21.5	−21.3	−21.2	−21.4	−21.8	−22.1	−22.3	−22.4	−22.2	−21.8	−21.3	40

Declination of Uranus in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+3.9	+4.2	+4.7	+5.3	+6.0	+6.5	+6.9	+7.0	+6.8	+6.4	+5.9	+5.6	0
10	+4.0	+4.3	+4.9	+5.5	+6.2	+6.7	+6.9	+6.9	+6.7	+6.2	+5.8	+5.5	10
20	+4.1	+4.5	+5.1	+5.8	+6.4	+6.8	+7.0	+6.9	+6.5	+6.1	+5.7	+5.5	20
30	+4.2	+4.7	+5.3	+6.0	+6.5	+6.9	+7.0	+6.8	+6.4	+5.9	+5.6	+5.5	30
40	+4.3	+4.9	+5.5	+6.2	+6.7	+6.9	+6.9	+6.7	+6.2	+5.8	+5.5	+5.5	40

Declination of Neptune in 1931

At 0:00 Universal Time

Day	Jan.	Feb.	Mar.	Apr.	May	Jun.	Jul.	Aug.	Sep.	Oct.	Nov.	Dec.	Day
0	+10.1	+10.3	+10.6	+10.9	+11.1	+11.1	+10.9	+10.5	+10.1	+9.7	+9.4	+9.3	0
10	+10.2	+10.4	+10.7	+11.0	+11.1	+11.0	+10.8	+10.4	+10.0	+9.6	+9.4	+9.3	10
20	+10.2	+10.5	+10.8	+11.0	+11.1	+11.0	+10.7	+10.3	+9.9	+9.5	+9.3	+9.3	20
30	+10.3	+10.6	+10.9	+11.1	+11.1	+10.9	+10.6	+10.2	+9.7	+9.4	+9.3	+9.3	30
40	+10.4	+10.7	+11.0	+11.1	+11.0	+10.8	+10.4	+10.0	+9.6	+9.4	+9.3	+9.4	40

Meridian passages of the planets in 1931

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

Rings of Saturn in 1931

Distances from Earth to Mercury, Venus and Mars 1931

Nutation in obliquity 1931

Heliocentric positions of the planets in their orbits 1931

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

Heliocentric positions of the planets in their orbits 1931 January

Heliocentric positions of the planets in their orbits 1931 February

Heliocentric positions of the planets in their orbits 1931 March

Heliocentric positions of the planets in their orbits 1931 April

Heliocentric positions of the planets in their orbits 1931 May

Heliocentric positions of the planets in their orbits 1931 June

Heliocentric positions of the planets in their orbits 1931 July

Heliocentric positions of the planets in their orbits 1931 August

Heliocentric positions of the planets in their orbits 1931 September

Heliocentric positions of the planets in their orbits 1931 October

Heliocentric positions of the planets in their orbits 1931 November

Heliocentric positions of the planets in their orbits 1931 December

Heliocentric positions of the planets in their orbits 1931

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.
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    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 +24 seconds.