The Equation of Time
This is a table of the amount by which the Sun is fast or slow each day compared with the average time that we use for our everyday life – and which is why, for example, Greenwich Mean Time is the mean, or average, of the variations in solar time.

The reason this is necessary is that the Earth's orbit around the Sun is not a perfect circle but is an ellipse. When the Earth is comparatively close to the Sun (as it is in January), it moves faster in its orbit than when it is farther from the Sun, as in June.

As a result, when the Earth is moving faster than average in its orbit, the Earth doesn't rotate on its axis quite enough during one day to bring the Sun due south at 12 noon by our watches, and it is slow.

Here is a table giving the approximate dates when the Sun is fast(–) or slow (+) compared with your watch by a whole number of minutes:

Jan 1     3
Jan 3     4
Jan 5     5
Jan 8     6
Jan 10   7
Jan 12   8
Jan 15   9
Jan 18 10
Jan 2   11
Jan 2   12
Jan 29   13
Feb 5    14
Feb 26  13
Mar 4    12
Mar 8    11
Mar 2    10
Mar 16    9
Mar 19    8
Mar 22    7
Mar 26    6

Mar 29   5
Apr 1      4
Apr 5      3
Apr 8      2
Apr 12    1
Apr 16    0
Apr 21  –1
Apr 26  –2
May 3  – 3
Jun 3   – 2

Jun 9      –1
Jun 14    –0
Jun 19      1
Jun 24      2
Jun 29      3
Jul4         4
Jul 10       5
Jul 18       6
Aug 12     5
Aug 17     4

Aug 22     3
Aug 26     2
Aug 29     1
Sep 2       0
Sep 5     –1
Sep 8     –2
Sep 11   –3
Sep 14   –4
Sep 17   –5
Sep 20   –6

Sep 22  –7
Sep 25  –8
Sep 28  –9
Oct 1    –10
Oct 4    –11
Oct 8    –12
Oct 11  –13
Oct 15  –14
Oct 20  –15
Oct 27  –16

Nov 17  –15
Nov 22  –14
Nov 25  –13
Nov 28  –12
Dec 1    –11
Dec 4    –10
Dec 6      –9
Dec 8      –8
Dec 11    –7
Dec 13    –6

Dec 15    –5
Dec 17    –4
Dec 19    –3
Dec 21    –2
Dec 23    –1
Dec 25      0
Dec 28      1
Dec 30      2

How does this affect you? If you are trying to find your north-south line by day, make the correction to find out when the Sun is exactly on your meridian. For example, on 2 March the Sun is due south at 12.10 pm. Or if you have a well-made sundial, add or subtract the figures shown to get the local civil time. If the sundial reads 3.45 on 17 November, the time by your watch should be 3.30 pm. 

Actually, there are other factors affecting sundial time, of which the main one is shoddy manufacture, which is the problem with most of the sundials you buy in garden centres these days... but don't get me started, that's another story. With a well-made sundial, the other correction you must make is for your distance from the meridian of the time zone you are in. Even in a small country such as the UK this can be considerable. Remember that every 15º of longitude makes an hour ofdifference in the solar time, or 4 minutes per degree. So in Cornwall, west Wales, western Scotland or Northern Ireland you are about 5º west of the Greenwich meridian and the solar time is 20 minutes later than GMT. On 5 February in Belfast, therefore, a sundial will tell you that it is not noon until 12.35 on your watch, and in early August it will be 1.28 pm when the sundial reads noon, because of British Summer Time.

Once you have made these corrections, a properly made sundial should give you the time just as accurately as most digital watches, which can easily drift off by half a minute or more unless they are regularly checked.

For a full listing of the Equation of Time for every day in the year go to
http://freepages.pavilion.net/users/aghelyar/sundat.htm (separate site).
What's in the sky tonight?
Below is a listing of the positions of the planets for this year. They are calculated for an observer at the centre of the Earth, so they apply equally to everybody -- the difference between locations does not matter at this level of accuracy. But if you just want to know what the sky will look like tonight, where you are, try the website www.heavens-above.com.Once you have registered (free) with your own location you can get a whole-sky map (under Astronomy) and get your own predictions for bright satellites such as the International Space Station and the Iridium satellites which flare in brightness.

Positions calculated using Chris Marriott's SkyMap


Positions of the planets for 2012
Mercury  – positions every 5 days during 
western and eastern elongations.  El = elongation from Sun in degrees.

 
Date Geo R.A. Geo Dec Mag El °
Western elongation – morning sky before sunrise
01 Jan 2012 17h 16m 04.18s -22° 07' 56.5" -0.4 20.1
06 Jan 2012 17h 45m 49.39s -23° 09' 13.5" -0.4 18.3
11 Jan 2012 18h 17m 24.95s -23° 45' 31.4" -0.4 16.2
Eastern elongation – evening sky after sunset
01 Mar 2012 23h 51m 18.81s -00° 07' 18.1" -0.8 17.2
06 Mar 2012 00h 11m 17.59s +03° 19' 03.9" -0.2 18.2
11 Mar 2012 00h 19m 53.63s +05° 22' 09.7" 0.9 16.1
Western elongation – morning sky before sunrise
31 Mar 2012 23h 38m 48.62s -00° 56' 11.6" 2.3 16.0
05 Apr 2012 23h 37m 31.32s -02° 28' 11.9" 1.4 21.8
10 Apr 2012 23h 44m 07.41s -02° 56' 36.9" 0.9 25.4
15 Apr 2012 23h 57m 04.42s -02° 26' 24.2" 0.6 27.1
20 Apr 2012 00h 14m 52.08s -01° 06' 43.3" 0.4 27.5
25 Apr 2012 00h 36m 26.70s +00° 53' 50.6" 0.2 26.6
30 Apr 2012 01h 01m 12.87s +03° 28' 06.2" 0.0 24.8
05 May 2012 01h 28m 59.88s +06° 29' 48.4" -0.2 22.1
10 May 2012 01h 59m 57.88s +09° 52' 41.7" -0.5 18.5
Eastern elongation – evening sky after sunset
14 Jun 2012 06h 53m 41.95s +24° 54' 25.2" -0.5 18.9
19 Jun 2012 07h 28m 59.99s +23° 40' 59.4" -0.2 22.2
24 Jun 2012 07h 58m 48.12s +21° 56' 49.5" 0.1 24.5
29 Jun 2012 08h 22m 53.29s +19° 55' 47.6" 0.4 25.6
04 Jul 2012 08h 40m 56.01s +17° 50' 50.8" 0.7 25.5
09 Jul 2012 08h 52m 23.69s +15° 54' 56.8" 1.1 23.9
14 Jul 2012 08h 56m 35.01s +14° 21' 50.6" 1.7 20.7
19 Jul 2012 08h 53m 04.22s +13° 25' 41.0" 2.5 15.7
Western elongation – morning sky before sunrise
13 Aug 2012 08h 18m 07.92s +17° 37' 05.4" 0.7 18.0
18 Aug 2012 08h 36m 30.48s +17° 57' 12.9" -0.2 18.6
23 Aug 2012 09h 04m 59.45s +17° 14' 46.0" -0.8 16.7
Eastern elongation – evening sky after sunset
02 Oct 2012 13h 31m 08.37s -10° 04' 19.2" -0.4 15.6
07 Oct 2012 13h 58m 54.52s -13° 18' 22.7" -0.2 18.2
12 Oct 2012 14h 25m 59.95s -16° 13' 29.8" -0.2 20.5
17 Oct 2012 14h 52m 16.65s -18° 46' 34.9" -0.1 22.3
22 Oct 2012 15h 17m 14.18s -20° 53' 44.6" -0.1 23.6
27 Oct 2012 15h 39m 44.32s -22° 29' 40.7" -0.1 24.1
01 Nov 2012 15h 57m 35.09s -23° 26' 32.9" 0.0 23.3
06 Nov 2012 16h 06m 55.63s -23° 31' 36.1" 0.4 20.4
Western elongation – morning sky before sunrise
26 Nov 2012 15h 05m 55.60s -14° 57' 26.6" 0.6 16.1
01 Dec 2012 15h 11m 06.08s -15° 08' 00.1" -0.2 19.9
06 Dec 2012 15h 28m 19.51s -16° 32' 57.3" -0.5 20.5
11 Dec 2012 15h 52m 26.73s -18° 26' 31.4" -0.5 19.5
16 Dec 2012 16h 20m 27.87s -20° 20' 51.9" -0.5 17.7
Venus – positions every 10 days  El = elongation from Sun in degrees.             

Eastern elongation – evening sky after sunset
01 Jan 2012 21h 07m 22.57s -18° 25' 50.6" -4.0 33.9
11 Jan 2012 21h 55m 34.00s -14° 25' 17.3" -4.0 35.9
21 Jan 2012 22h 41m 29.11s -09° 47' 40.6" -4.0 37.9
31 Jan 2012 23h 25m 32.16s -04° 45' 60.0" -4.1 39.7
10 Feb 2012 00h 08m 11.83s +00° 26' 56.5" -4.1 41.4
20 Feb 2012 00h 49m 59.53s +05° 39' 12.0" -4.2 43.0
01 Mar 2012 01h 31m 22.59s +10° 39' 21.0" -4.2 44.3
11 Mar 2012 02h 12m 33.62s +15° 16' 14.4" -4.3 45.3
21 Mar 2012 02h 53m 29.51s +19° 19' 45.2" -4.3 45.9
31 Mar 2012 03h 33m 40.97s +22° 41' 09.4" -4.4 46.0
10 Apr 2012 04h 11m 55.27s +25° 13' 51.2" -4.4 45.3
20 Apr 2012 04h 46m 14.92s +26° 54' 38.9" -4.5 43.4
30 Apr 2012 05h 13m 44.08s +27° 43' 45.0" -4.5 39.9
10 May 2012 05h 30m 14.63s +27° 42' 29.6" -4.5 33.9
20 May 2012 05h 31m 23.90s +26° 47' 31.9" -4.3 24.5
Western elongation – morning sky before sunrise
19 Jun 2012 04h 30m 40.85s +19° 11' 37.5" -4.2 19.4
29 Jun 2012 04h 25m 37.37s +17° 39' 38.2" -4.4 30.4
09 Jul 2012 04h 35m 21.01s +17° 25' 36.5" -4.5 37.6
19 Jul 2012 04h 56m 35.28s +18° 01' 14.1" -4.5 42.1
29 Jul 2012 05h 26m 05.87s +18° 54' 48.5" -4.4 44.5
08 Aug 2012 06h 01m 37.42s +19° 40' 51.7" -4.3 45.6
18 Aug 2012 06h 41m 31.42s +20° 00' 22.3" -4.3 45.8
28 Aug 2012 07h 24m 22.85s +19° 40' 25.5" -4.2 45.3
07 Sep 2012 08h 09m 03.40s +18° 33' 25.2" -4.2 44.4
17 Sep 2012 08h 54m 36.18s +16° 36' 48.7" -4.1 43.1
27 Sep 2012 09h 40m 15.81s +13° 52' 50.0" -4.1 41.6
07 Oct 2012 10h 25m 38.88s +10° 27' 02.6" -4.1 39.8
17 Oct 2012 11h 10m 40.42s +06° 27' 39.9" -4.0 37.9
27 Oct 2012 11h 55m 28.53s +02° 04' 51.2" -4.0 35.9
06 Nov 2012 12h 40m 25.88s -02° 30' 25.7" -4.0 33.7
16 Nov 2012 13h 26m 02.31s -07° 06' 20.5" -4.0 31.5

Mars – positions and diameter every 10 days
Date Geo R.A. Geo Dec Mag Diam "
01 Jan 2012 11h 28m 18.56s +06° 37' 10.4" 0.2 9.00
11 Jan 2012 11h 36m 01.94s +06° 06' 04.5" -0.0 9.83
21 Jan 2012 11h 40m 00.49s +05° 59' 37.3" -0.3 10.74
31 Jan 2012 11h 39m 31.83s +06° 21' 17.7" -0.5 11.71
10 Feb 2012 11h 34m 11.69s +07° 11' 23.8" -0.8 12.65
20 Feb 2012 11h 24m 08.35s +08° 25' 33.9" -1.0 13.41
01 Mar 2012 11h 10m 30.22s +09° 52' 12.4" -1.2 13.84
11 Mar 2012 10h 55m 35.89s +11° 14' 12.0" -1.2 13.83
21 Mar 2012 10h 42m 05.32s +12° 16' 08.4" -1.0 13.39
31 Mar 2012 10h 32m 12.91s +12° 48' 46.0" -0.7 12.65
10 Apr 2012 10h 27m 07.40s +12° 50' 39.2" -0.5 11.76
20 Apr 2012 10h 26m 51.86s +12° 25' 02.2" -0.3 10.86
30 Apr 2012 10h 30m 59.37s +11° 35' 50.6" -0.1 10.01
10 May 2012 10h 38m 46.81s +10° 27' 06.7" 0.1 9.24
20 May 2012 10h 49m 30.83s +09° 02' 02.3" 0.3 8.57
30 May 2012 11h 02m 38.16s +07° 22' 53.8" 0.5 7.99
09 Jun 2012 11h 17m 39.45s +05° 31' 55.5" 0.6 7.48
19 Jun 2012 11h 34m 13.51s +03° 30' 54.4" 0.7 7.05
29 Jun 2012 11h 52m 07.18s +01° 21' 24.5" 0.8 6.67
09 Jul 2012 12h 11m 09.21s -00° 54' 44.9" 0.9 6.35
19 Jul 2012 12h 31m 14.02s -03° 15' 55.7" 1.0 6.06
29 Jul 2012 12h 52m 19.89s -05° 40' 24.6" 1.1 5.82
08 Aug 2012 13h 14m 25.07s -08° 06' 09.4" 1.1 5.60
18 Aug 2012 13h 37m 31.71s -10° 31' 11.2" 1.1 5.42
28 Aug 2012 14h 01m 42.99s -12° 53' 15.2" 1.2 5.25
07 Sep 2012 14h 27m 00.75s -15° 09' 48.2" 1.2 5.11
17 Sep 2012 14h 53m 29.10s -17° 18' 13.7" 1.2 4.98
27 Sep 2012 15h 21m 10.49s -19° 15' 38.4" 1.2 4.86
07 Oct 2012 15h 50m 04.22s -20° 58' 57.6" 1.2 4.76
17 Oct 2012 16h 20m 09.40s -22° 25' 09.6" 1.2 4.67
27 Oct 2012 16h 51m 20.61s -23° 31' 14.4" 1.2 4.59
06 Nov 2012 17h 23m 27.79s -24° 14' 28.5" 1.2 4.52
16 Nov 2012 17h 56m 19.39s -24° 32' 38.3" 1.2 4.45
26 Nov 2012 18h 29m 39.41s -24° 24' 12.7" 1.2 4.39
06 Dec 2012 19h 03m 10.04s -23° 48' 31.3" 1.2 4.33
16 Dec 2012 19h 36m 35.46s -22° 45' 46.7" 1.2 4.28
26 Dec 2012 20h 09m 40.03s -21° 17' 12.8" 1.2 4.23
                          
Jupiter – positions every 10 days  
Date Geo R.A. Geo Dec Mag Diam "
01 Jan 2012 01h 55m 02.10s +10° 28' 09.4" -2.6 43.34
11 Jan 2012 01h 56m 25.08s +10° 39' 00.9" -2.5 41.91
21 Jan 2012 01h 59m 02.81s +10° 56' 29.5" -2.4 40.53
31 Jan 2012 02h 02m 50.31s +11° 19' 54.4" -2.4 39.23
10 Feb 2012 02h 07m 40.82s +11° 48' 23.4" -2.3 38.04
20 Feb 2012 02h 13m 27.19s +12° 21' 02.0" -2.2 36.97
01 Mar 2012 02h 20m 02.90s +12° 56' 57.9" -2.2 36.02
11 Mar 2012 02h 27m 20.93s +13° 35' 17.5" -2.1 35.20
21 Mar 2012 02h 35m 15.08s +14° 15' 12.3" -2.1 34.50
Too close to Sun for observation
10 May 2012 03h 20m 33.75s +17° 34' 30.2" -2.0 32.78
20 May 2012 03h 30m 11.78s +18° 10' 28.9" -2.0 32.77
30 May 2012 03h 39m 50.12s +18° 44' 13.1" -2.0 32.87
09 Jun 2012 03h 49m 23.62s +19° 15' 25.7" -2.0 33.07
19 Jun 2012 03h 58m 47.56s +19° 43' 55.2" -2.0 33.39
29 Jun 2012 04h 07m 56.31s +20° 09' 32.8" -2.0 33.81
09 Jul 2012 04h 16m 44.11s +20° 32' 13.5" -2.1 34.35
19 Jul 2012 04h 25m 05.13s +20° 51' 56.4" -2.1 35.00
29 Jul 2012 04h 32m 52.28s +21° 08' 43.3" -2.1 35.76
08 Aug 2012 04h 39m 58.66s +21° 22' 40.1" -2.2 36.63
18 Aug 2012 04h 46m 16.91s +21° 33' 54.3" -2.2 37.62
28 Aug 2012 04h 51m 38.54s +21° 42' 35.1" -2.3 38.72
07 Sep 2012 04h 55m 55.91s +21° 48' 53.6" -2.4 39.91
17 Sep 2012 04h 59m 01.22s +21° 52' 59.9" -2.4 41.17
27 Sep 2012 05h 00m 47.16s +21° 55' 02.0" -2.5 42.49
07 Oct 2012 05h 01m 09.15s +21° 55' 06.0" -2.6 43.81
17 Oct 2012 05h 00m 04.69s +21° 53' 14.9" -2.6 45.09
27 Oct 2012 04h 57m 35.89s +21° 49' 29.2" -2.7 46.25
06 Nov 2012 04h 53m 50.93s +21° 43' 50.6" -2.8 47.23
16 Nov 2012 04h 49m 03.17s +21° 36' 26.1" -2.8 47.95
26 Nov 2012 04h 43m 33.10s +21° 27' 34.2" -2.8 48.33
06 Dec 2012 04h 37m 45.68s +21° 17' 48.1" -2.8 48.35
16 Dec 2012 04h 32m 07.08s +21° 07' 55.4" -2.8 48.01
26 Dec 2012 04h 27m 03.61s +20° 58' 54.4" -2.8 47.32
  
Saturn – positions every 10 days
Date Geo R.A. Geo Dec Mag Diam "
01 Jan 2012 13h 48m 36.74s -08° 36' 10.0" 0.7 16.62
11 Jan 2012 13h 50m 45.75s -08° 45' 35.6" 0.7 16.89
21 Jan 2012 13h 52m 18.70s -08° 51' 27.2" 0.6 17.18
31 Jan 2012 13h 53m 12.85s -08° 53' 36.8" 0.6 17.48
10 Feb 2012 13h 53m 27.01s -08° 52' 04.7" 0.5 17.78
20 Feb 2012 13h 53m 01.24s -08° 46' 56.8" 0.5 18.07
01 Mar 2012 13h 51m 56.87s -08° 38' 26.7" 0.4 18.34
11 Mar 2012 13h 50m 17.61s -08° 26' 59.7" 0.4 18.57
21 Mar 2012 13h 48m 08.57s -08° 13' 07.6" 0.3 18.76
31 Mar 2012 13h 45m 36.38s -07° 57' 31.2" 0.3 18.89
10 Apr 2012 13h 42m 49.46s -07° 40' 59.9" 0.2 18.96
20 Apr 2012 13h 39m 56.54s -07° 24' 24.3" 0.2 18.97
30 Apr 2012 13h 37m 06.83s -07° 08' 37.8" 0.3 18.91
10 May 2012 13h 34m 29.26s -06° 54' 30.3" 0.4 18.79
20 May 2012 13h 32m 11.36s -06° 42' 44.1" 0.4 18.61
30 May 2012 13h 30m 19.92s -06° 33' 56.1" 0.5 18.38
09 Jun 2012 13h 28m 59.90s -06° 28' 30.9" 0.6 18.13
19 Jun 2012 13h 28m 14.40s -06° 26' 42.9" 0.6 17.84
29 Jun 2012 13h 28m 05.58s -06° 28' 39.5" 0.7 17.55
09 Jul 2012 13h 28m 33.83s -06° 34' 17.3" 0.7 17.25
19 Jul 2012 13h 29m 38.41s -06° 43' 26.8" 0.7 16.96
29 Jul 2012 13h 31m 18.04s -06° 55' 54.3" 0.8 16.68
08 Aug 2012 13h 33m 30.34s -07° 11' 20.1" 0.8 16.41
18 Aug 2012 13h 36m 12.70s -07° 29' 23.8" 0.8 16.17
28 Aug 2012 13h 39m 22.18s -07° 49' 41.9" 0.8 15.96
07 Sep 2012 13h 42m 55.21s -08° 11' 49.1" 0.8 15.78
17 Sep 2012 13h 46m 48.54s -08° 35' 21.8" 0.7 15.63
27 Sep 2012 13h 50m 58.48s -08° 59' 54.0" 0.7 15.51
07 Oct 2012 13h 55m 21.03s -09° 24' 59.8" 0.7 15.43
Too close to Sun for observation
16 Nov 2012 14h 13m 38.62s -11° 02' 55.9" 0.6 15.45
26 Nov 2012 14h 18m 03.36s -11° 24' 50.2" 0.6 15.55
06 Dec 2012 14h 22m 15.27s -11° 44' 59.4" 0.6 15.68
16 Dec 2012 14h 26m 09.81s -12° 03' 04.0" 0.6 15.85
26 Dec 2012 14h 29m 42.07s -12° 18' 45.4" 0.6 16.04


Back to Stargazing home page