Canon of Venus transits

For the computation of this canon, we have used the following physical parameters :

• Equatorial horizontal parallax of the Sun at one UA = 8.794148".
• Semi-diameter of the Sun = 15´ 59.63".
• Quotient of the semi-diameter of Venus by the equatorial semi-diameter of the Earth : k = 0.9488346.
• Equatorial semi-diameter of the Earth = 6378140m.
• Square of ellipticity of the Earth's ellipsoid = 0.00669438.

Computations are based on planetary theories developped at the Institut de Mécanique Céleste in Paris.

• Panetary theories SLP98 uses a Chebyshev polynomials representation for the coordinates of the bodies computed by G. Francou à partir from planetary theories VSOP87 (P. Bretagnon and G. Francou, 1988).
• Precession theorie of Lieske (1976).
• Nutation theorie of Wahr (1981).
• Sideral time formulea of Aoki (1992).
• The difference between TT and UT is quadratically extrapolated in the distant past (formulae given by J. Chapront, M. Chapront et G. Francou, 1997) or in the future from known values of TT - UT.

For each transit, the following data are given : :

• Date of least topocentric distance between center of the planet and center of the Sun (in UTC).
• Time of least topocentric distance between center of the planet and center of the Sun (in UTC).
• Type of transit(P : partial, C : central, NC : no-central).
• Least angular topocentric distance between center of the planet and center of the Sun in minute and second of degrees.
• Duration of general phase of transit.
• For each saros :
  
  • Number of Saros series to witch the transit belongs (* after number indicated that serie is not full).
  • Place of the transit in the Saros serie.

CANON OF VENUS TRANSITS

from -2999 to 2999

N	Date	Time UT	Type	distance	Duration	Saros 243	n°
1	-2970/11/17	06h41h32s	C	00'00.00"	08h17m58s	1*	1
2	-2864/05/19	21h40h39s	NC	04'34.34"	07h57m01s	2*	1
3	-2856/05/17	14h46h34s	NC	14'07.13"	04h02m07s	3*	1
4	-2727/11/17	08h28h55s	NC	00'42.15"	08h17m51s	1*	2
5	-2621/05/21	03h24h07s	NC	05'55.34"	07h42m44s	2*	2
6	-2613/05/18	20h23h37s	NC	12'46.35"	05h04m17s	3*	2
7	-2484/11/17	09h38h37s	NC	02'27.40"	08h11m41s	1*	3
8	-2378/05/21	08h58h03s	NC	07'14.54"	07h23m38s	2*	3
9	-2370/05/19	02h04h37s	NC	11'23.76"	05h51m20s	3*	3
10	-2241/11/18	11h00h03s	NC	04'00.12"	08h02m31s	1*	4
11	-2135/05/21	14h25h13s	NC	08'36.47"	06h59m55s	2*	4
12	-2127/05/19	07h35h29s	NC	10'01.81"	06h28m52s	3*	4
13	-1998/11/18	11h42h20s	NC	05'49.74"	07h45m27s	1*	5
14	-1892/05/21	19h46h16s	NC	09'55.80"	06h31m03s	2*	5
15	-1884/05/19	12h49h40s	NC	08'43.70"	06h56m56s	3*	5
16	-1763/11/20	23h13h21s	NC	15'42.33"	02h56m07s	4*	1
17	-1755/11/18	12h35h39s	NC	07'30.51"	07h23m25s	1*	6
18	-1649/05/23	01h00h19s	NC	11'15.28"	05h55m31s	2*	6
19	-1641/05/20	18h17h12s	NC	07'18.26"	07h22m22s	3*	6
20	-1520/11/20	23h57h40s	NC	14'07.49"	04h28m10s	4*	2
21	-1512/11/18	13h04h18s	NC	09'21.12"	06h51m57s	1*	7
22	-1406/05/23	06h08h41s	NC	12'38.69"	05h08m46s	2*	7
23	-1398/05/20	23h14h30s	NC	06'02.95"	07h39m52s	3*	7
24	-1277/11/22	00h18h54s	NC	12'15.92"	05h38m08s	4*	3
25	-1269/11/19	13h37h09s	NC	11'00.18"	06h14m08s	1*	8
26	-1163/05/23	11h09h44s	NC	13'56.46"	04h11m01s	2*	8
27	-1155/05/21	04h29h01s	NC	04'34.21"	07h55m55s	3*	8
28	-1034/11/22	00h49h05s	NC	10'41.22"	06h22m24s	4*	4
29	-1026/11/19	13h52h21s	NC	12'52.06"	05h18m40s	1*	9
30	-920/05/23	16h06h06s	P	15'20.56"	02h37m51s	2*	9
31	-912/05/21	09h16h30s	NC	03'20.44"	08h06m08s	3*	9
32	-791/11/22	00h47h42s	NC	08'48.72"	07h02m14s	4*	5
33	-783/11/19	14h02h31s	NC	14'34.83"	04h06m03s	1*	10
34	-669/05/22	14h06h52s	NC	01'55.78"	08h13m16s	3*	10
35	-548/11/22	00h56h10s	NC	07'06.86"	07h29m51s	4*	6
36	-540/11/19	13h55h04s	P	16'27.89"	01h39m18s	1*	11
37	-426/05/22	18h42h49s	NC	00'39.86"	08h17m38s	3*	11
38	-305/11/23	00h30h24s	NC	05'11.13"	07h53m20s	4*	7
39	-183/05/22	23h04h06s	C	00'00.00"	08h17m49s	3*	12
40	-62/11/23	00h16h06s	NC	03'25.46"	08h07m36s	4*	8
41	60/05/23	03h21h51s	NC	01'05.75"	08h16m16s	3*	13
42	181/11/22	23h38h18s	NC	01'29.91"	08h17m50s	4*	9
43	303/05/24	07h26h35s	NC	02'16.09"	08h11m32s	3*	14
44	424/11/22	23h04h16s	C	00'00.00"	08h20m16s	4*	10
45	546/05/24	11h30h20s	NC	03'30.69"	08h03m58s	3*	15
46	554/05/22	04h49h55s	NC	15'11.94"	02h51m27s	5*	1
47	667/11/23	22h22h40s	NC	01'14.85"	08h18m45s	4*	11
48	789/05/24	15h23h25s	NC	04'45.92"	07h53m29s	3*	16
49	797/05/22	08h31h17s	NC	14'04.97"	04h04m12s	5*	2
50	910/11/23	21h27h31s	NC	03'03.57"	08h10m22s	4*	12
51	1032/05/24	19h03h21s	NC	05'51.72"	07h41m00s	3*	17
52	1040/05/22	12h23h47s	NC	12'50.12"	05h01m16s	5*	3
53	1153/11/23	20h38h43s	NC	04'43.30"	07h58m12s	4*	13
54	1275/05/25	22h37h47s	NC	07'03.26"	07h25m21s	3*	18
55	1283/05/23	15h45h18s	NC	11'51.93"	05h36m18s	5*	4
56	1396/11/23	19h25h27s	NC	06'40.02"	07h36m37s	4*	14
57	1518/05/26	01h56h28s	NC	08'03.66"	07h08m20s	3*	19
58	1526/05/23	19h11h36s	NC	10'44.98"	06h09m13s	5*	5
59	1631/12/07	05h19h27s	NC	15'15.03"	03h26m13s	6*	1
60	1639/12/04	18h25h37s	NC	08'19.27"	07h11m26s	4*	15
61	1761/06/06	05h19h16s	NC	09'08.70"	06h47m56s	3*	20
62	1769/06/03	22h25h20s	NC	09'47.64"	06h33m40s	5*	6
63	1874/12/09	04h07h26s	NC	13'25.68"	04h57m08s	6*	2
64	1882/12/06	17h05h59s	NC	10'13.02"	06h33m52s	4*	16
65	2004/06/08	08h19h44s	NC	10'05.16"	06h26m25s	3*	21
66	2012/06/06	01h29h35s	NC	08'52.65"	06h52m58s	5*	7
67	2117/12/11	02h48h22s	NC	11'39.37"	05h56m20s	6*	3
68	2125/12/08	16h01h46s	NC	11'52.15"	05h50m04s	4*	17
69	2247/06/11	11h33h60s	NC	11'09.57"	05h58m09s	3*	22
70	2255/06/09	04h38h46s	NC	07'50.12"	07h12m42s	5*	8
71	2360/12/13	01h44h42s	NC	10'01.46"	06h38m07s	6*	4
72	2368/12/10	14h45h58s	NC	13'32.23"	04h52m13s	4*	18
73	2490/06/12	14h17h37s	NC	11'59.36"	05h32m37s	3*	23
74	2498/06/10	07h25h56s	NC	07'00.94"	07h25m27s	5*	9
75	2603/12/16	00h13h53s	NC	08'12.91"	07h13m07s	6*	5
76	2611/12/13	13h34h53s	NC	15'10.60"	03h29m11s	4*	19
77	2733/06/15	17h18h60s	NC	13'06.54"	04h51m03s	3*	24
78	2741/06/13	10h17h38s	NC	06'03.77"	07h38m36s	5*	10
79	2846/12/16	23h11h46s	NC	06'47.93"	07h34m42s	6*	6
80	2854/12/14	12h20h06s	P	16'42.57"	00h27m35s	4*	20
81	2976/06/16	19h44h55s	NC	13'48.66"	04h19m60s	3*	25
82	2984/06/14	12h49h34s	NC	05'14.51"	07h48m15s	5*	11

Statistic over all transits from this two dates

• Number of central transits : 3.
• Number of no-central transits : 76.
• Number of partial transits : 3.
• Number of transits at the descending node : 45.
• Number of transits at the ascending node : 37.
• Total number of transits : 82.

URL: http://www.imcce.fr/ephem/passage_eng/html_passage/CanonVenus.html Last update : March 4th, 2004.