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
Jul 4         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 of difference 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 not tell you that it is 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 2009
Mercury  – positions every 5 days during 
western and eastern elongations.  El = elongation from Sun in degrees.

 
Date Geo R.A. Geo Dec Mag El °
Eastern elongation – evening sky after sunset
01 Jan 2009 20h 07m 57.26s -21° 48' 03.9" -0.7 18.8
06 Jan 2009 20h 30m 15.13s -19° 42' 18.6" -0.4 19.2
11 Jan 2009 20h 39m 52.10s -17° 47' 11.5" 0.3 16.8
Western elongation – morning sky before sunrise
26 Jan 2009 19h 43m 11.14s -17° 45' 55.8" 2.2 12.2
31 Jan 2009 19h 32m 29.32s -18° 46' 13.5" 0.8 19.6
05 Feb 2009 19h 35m 59.53s -19° 33' 04.8" 0.3 23.9
10 Feb 2009 19h 49m 44.40s -19° 56' 50.6" 0.1 25.7
15 Feb 2009 20h 10m 03.63s -19° 52' 28.3" 0.0 26.1
20 Feb 2009 20h 34m 30.71s -19° 17' 26.3" -0.0 25.4
25 Feb 2009 21h 01m 35.36s -18° 10' 40.2" -0.1 24.0
02 Mar 2009 21h 30m 23.63s -16° 31' 53.6" -0.1 22.0
07 Mar 2009 22h 00m 25.30s -14° 21' 15.8" -0.3 19.5
12 Mar 2009 22h 31m 26.51s -11° 39' 10.7" -0.4 16.5
Eastern elongation – evening sky after sunset
16 Apr 2009 02h 36m 52.46s +17° 04' 09.2" -0.9 16.1
21 Apr 2009 03h 07m 59.98s +20° 02' 22.9" -0.4 19.2
26 Apr 2009 03h 32m 32.45s +21° 56' 09.2" 0.2 20.4
01 May 2009 03h 48m 58.18s +22° 46' 05.3" 1.0 19.4
06 May 2009 03h 56m 24.95s +22° 35' 35.1" 2.0 16.2
Western elongation – morning sky before sunrise
31 May 2009 03h 25m 42.38s +14° 56' 52.3" 2.3 17.2
05 Jun 2009 03h 29m 39.53s +14° 52' 43.5" 1.5 21.1
10 Jun 2009 03h 40m 29.68s +15° 38' 13.9" 0.9 23.1
15 Jun 2009 03h 57m 53.61s +17° 01' 47.0" 0.4 23.4
20 Jun 2009 04h 21m 38.11s +18° 49' 13.1" 0.0 22.2
25 Jun 2009 04h 51m 44.14s +20° 44' 28.4" -0.4 19.6
30 Jun 2009 05h 28m 13.98s +22° 28' 13.0" -0.9 15.7
Eastern elongation – evening sky after sunset
30 Jul 2009 09h 44m 13.65s +15° 07' 29.6" -0.6 16.3
04 Aug 2009 10h 16m 12.20s +11° 45' 02.3" -0.3 20.0
09 Aug 2009 10h 44m 36.73s +08° 18' 31.3" -0.1 22.9
14 Aug 2009 11h 09m 46.38s +04° 55' 38.7" 0.1 25.2
19 Aug 2009 11h 31m 46.35s +01° 43' 14.6" 0.2 26.7
24 Aug 2009 11h 50m 22.09s -01° 11' 21.2" 0.3 27.4
29 Aug 2009 12h 04m 52.99s -03° 38' 49.0" 0.4 26.9
03 Sep 2009 12h 14m 05.25s -05° 25' 48.8" 0.7 25.0
08 Sep 2009 12h 16m 12.61s -06° 12' 50.1" 1.2 21.1
Western elongation – morning sky before sunrise
03 Oct 2009 11h 34m 10.24s +03° 40' 55.7" 0.0 17.3
08 Oct 2009 11h 52m 19.88s +02° 38' 31.6" -0.7 17.7
13 Oct 2009 12h 18m 32.39s +00° 08' 36.8" -0.9 15.7
Eastern elongation – evening sky after sunset
07 Dec 2009 18h 08m 16.62s -25° 45' 50.2" -0.5 17.0
12 Dec 200918h 39m 34.00s-25° 24' 19.6"-0.619.0
17 Dec 200919h 07m 14.86s-24° 28' 31.4"-0.520.2
22 Dec 200919h 27m 29.01s-23° 06' 41.3"-0.319.8
27 Dec 200919h 34m 06.34s-21° 37' 50.4"0.516.4
Venus – positions every 10 days El = elongation from Sun in degrees.            

Date Geo R.A. Geo Dec Mag El °
Eastern elongation – evening sky after sunset
01 Jan 2009 21h 59m 53.94s -13° 49' 07.1" -4.3 46.6
11 Jan 2009 22h 39m 36.36s -09° 15' 50.9" -4.4 47.1
21 Jan 2009 23h 15m 42.16s -04° 29' 14.1" -4.5 47.0
31 Jan 2009 23h 47m 48.71s +00° 16' 59.5" -4.5 46.1
10 Feb 2009 00h 14m 54.89s +04° 47' 23.3" -4.6 44.0
20 Feb 2009 00h 35m 06.09s +08° 43' 30.8" -4.6 40.2
02 Mar 2009 00h 45m 27.25s +11° 40' 18.8" -4.6 34.0
12 Mar 2009 00h 42m 32.35s +12° 59' 21.6" -4.5 24.5
Too close to the Sun for observation.
Western elongation – morning sky before sunrise
11 Apr 2009 23h 51m 22.38s +05° 18' 54.1" -4.3 21.8
21 Apr 2009 23h 52m 15.81s +02° 56' 37.2" -4.5 31.8
01 May 2009 00h 06m 08.00s +02° 15' 47.1" -4.5 38.5
11 May 2009 00h 29m 11.50s +03° 02' 02.0" -4.5 42.5
21 May 2009 00h 58m 27.24s +04° 52' 19.0" -4.4 44.8
31 May 2009 01h 31m 57.99s +07° 24' 08.9" -4.3 45.7
10 Jun 2009 02h 08m 40.41s +10° 18' 31.6" -4.3 45.8
20 Jun 2009 02h 48m 08.68s +13° 19' 08.4" -4.2 45.2
30 Jun 2009 03h 30m 09.31s +16° 10' 46.8" -4.1 44.2
10 Jul 2009 04h 14m 34.72s +18° 39' 43.5" -4.1 42.8
20 Jul 2009 05h 01m 15.96s +20° 33' 26.9" -4.0 41.2
30 Jul 2009 05h 49m 48.97s +21° 41' 02.7" -4.0 39.4
09 Aug 2009 06h 39m 37.64s +21° 54' 29.2" -4.0 37.4
19 Aug 2009 07h 29m 58.91s +21° 09' 15.0" -4.0 35.3
29 Aug 2009 08h 20m 05.88s +19° 25' 10.7" -4.0 33.0
08 Sep 2009 09h 09m 22.55s +16° 46' 14.0" -4.0 30.7
18 Sep 2009 09h 57m 31.55s +13° 19' 28.7" -3.9 28.4
28 Sep 2009 10h 44m 31.42s +09° 14' 31.9" -3.9 25.9
08 Oct 2009 11h 30m 37.80s +04° 42' 14.4" -3.9 23.5
18 Oct 2009 12h 16m 19.92s -00° 06' 01.3" -3.9 21.0
28 Oct 2009 13h 02m 11.81s -04° 58' 06.2" -3.9 18.5
07 Nov 2009 13h 48m 50.48s -09° 41' 33.0" -3.9 16.0

Mars – positions every 10 days                          
Date Geo R.A. Geo Dec Mag
Too close to the Sun for observation
20 Feb 2009 20h 58m 43.44s -18° 13' 53.5" 1.2
02 Mar 2009 21h 29m 58.08s -15° 56' 50.8" 1.2
12 Mar 2009 22h 00m 32.59s -13° 23' 34.4" 1.2
22 Mar 2009 22h 30m 29.46s -10° 37' 11.1" 1.2
01 Apr 2009 22h 59m 52.80s -07° 41' 00.6" 1.2
11 Apr 2009 23h 28m 47.66s -04° 38' 27.6" 1.2
21 Apr 2009 23h 57m 21.83s -01° 32' 41.0" 1.2
01 May 2009 00h 25m 42.41s +01° 33' 04.7" 1.2
11 May 2009 00h 53m 55.82s +04° 35' 41.1" 1.2
21 May 2009 01h 22m 09.74s +07° 32' 20.1" 1.2
31 May 2009 01h 50m 29.40s +10° 20' 11.0" 1.1
10 Jun 2009 02h 18m 58.22s +12° 56' 37.3" 1.1
20 Jun 2009 02h 47m 39.59s +15° 19' 24.5" 1.1
30 Jun 2009 03h 16m 32.99s +17° 26' 24.3" 1.1
10 Jul 2009 03h 45m 35.52s +19° 15' 54.5" 1.1
20 Jul 2009 04h 14m 43.44s +20° 46' 40.0" 1.1
30 Jul 2009 04h 43m 48.35s +21° 57' 48.5" 1.1
09 Aug 2009 05h 12m 40.66s +22° 49' 05.7" 1.1
19 Aug 2009 05h 41m 10.53s +23° 20' 48.6" 1.0
29 Aug 2009 06h 09m 04.48s +23° 33' 50.6" 1.0
08 Sep 2009 06h 36m 10.51s +23° 29' 41.1" 0.9
18 Sep 2009 07h 02m 17.49s +23° 10' 15.9" 0.9
28 Sep 2009 07h 27m 11.59s +22° 38' 07.8" 0.8
08 Oct 2009 07h 50m 41.65s +21° 56' 09.8" 0.7
18 Oct 2009 08h 12m 35.95s +21° 07' 36.8" 0.6
28 Oct 2009 08h 32m 38.50s +20° 16' 18.4" 0.5
07 Nov 2009 08h 50m 33.75s +19° 26' 13.7" 0.4
17 Nov 2009 09h 06m 00.58s +18° 41' 53.8" 0.2
27 Nov 2009 09h 18m 29.63s +18° 08' 24.4" 0.0
07 Dec 2009 09h 27m 28.23s +17° 50' 43.5" -0.2
17 Dec 2009 09h 32m 13.83s +17° 53' 58.5" -0.4
27 Dec 2009 09h 32m 01.62s +18° 21' 51.1" -0.6

Jupiter – positions every 10 days 
Date Geo R.A. Geo Dec Mag
Too close to the Sun for observation
20 Feb 2009 20h 52m 55.32s -18° 02' 12.0" -1.9
02 Mar 2009 21h 02m 03.69s -17° 25' 39.1" -2.0
12 Mar 2009 21h 10m 49.09s -16° 49' 09.2" -2.0
22 Mar 2009 21h 19m 06.72s -16° 13' 18.9" -2.0
01 Apr 2009 21h 26m 51.24s -15° 38' 51.1" -2.1
11 Apr 2009 21h 33m 57.15s -15° 06' 30.9" -2.1
21 Apr 2009 21h 40m 19.39s -14° 37' 01.0" -2.2
01 May 2009 21h 45m 51.99s -14° 11' 09.7" -2.2
11 May 2009 21h 50m 29.15s -13° 49' 43.4" -2.3
21 May 2009 21h 54m 05.64s -13° 33' 23.3" -2.4
31 May 2009 21h 56m 35.75s -13° 22' 51.0" -2.4
10 Jun 2009 21h 57m 55.22s -13° 18' 35.0" -2.5
20 Jun 2009 21h 58m 01.38s -13° 20' 51.6" -2.6
30 Jun 2009 21h 56m 53.28s -13° 29' 42.2" -2.7
10 Jul 2009 21h 54m 34.27s -13° 44' 38.0" -2.7
20 Jul 2009 21h 51m 11.32s -14° 04' 48.0" -2.8
30 Jul 2009 21h 46m 56.11s -14° 28' 54.2" -2.8
09 Aug 2009 21h 42m 05.96s -14° 55' 10.1" -2.9
19 Aug 2009 21h 37m 00.83s -15° 21' 43.8" -2.9
29 Aug 2009 21h 32m 03.12s -15° 46' 39.8" -2.8
08 Sep 2009 21h 27m 35.28s -16° 08' 14.2" -2.8
18 Sep 2009 21h 23m 56.10s -16° 25' 10.7" -2.7
28 Sep 2009 21h 21m 20.95s -16° 36' 32.6" -2.7
08 Oct 2009 21h 19m 59.74s -16° 41' 51.0" -2.6
18 Oct 2009 21h 19m 56.94s -16° 40' 57.3" -2.5
28 Oct 2009 21h 21m 13.57s -16° 33' 51.4" -2.5
07 Nov 2009 21h 23m 46.34s -16° 20' 47.5" -2.4
17 Nov 2009 21h 27m 29.87s -16° 02' 02.8" -2.3
27 Nov 2009 21h 32m 17.88s -15° 37' 54.4" -2.3
07 Dec 2009 21h 38m 02.40s -15° 08' 46.4" -2.2
17 Dec 2009 21h 44m 35.77s -14° 35' 00.5" -2.2
27 Dec 2009 21h 51m 50.59s -13° 56' 59.9" -2.1

  
Saturn – positions every 10 days
Date Geo R.A. Geo Dec Mag
01 Jan 2009 11h 32m 59.78s +05° 08' 52.2" 0.9
11 Jan 2009 11h 32m 42.90s +05° 13' 38.3" 0.9
21 Jan 2009 11h 31m 46.47s +05° 22' 30.2" 0.8
31 Jan 2009 11h 30m 13.15s +05° 35' 04.6" 0.7
10 Feb 2009 11h 28m 07.90s +05° 50' 41.9" 0.7
20 Feb 2009 11h 25m 37.38s +06° 08' 33.5" 0.6
02 Mar 2009 11h 22m 49.64s +06° 27' 42.5" 0.5
12 Mar 2009 11h 19m 54.35s +06° 47' 03.3" 0.5
22 Mar 2009 11h 17m 01.11s +07° 05' 34.5" 0.5
01 Apr 2009 11h 14m 19.35s +07° 22' 17.5" 0.6
11 Apr 2009 11h 11m 57.94s +07° 36' 20.2" 0.6
21 Apr 2009 11h 10m 03.81s +07° 47' 05.3" 0.7
01 May 2009 11h 08m 42.44s +07° 54' 04.3" 0.7
11 May 2009 11h 07m 57.51s +07° 57' 01.4" 0.8
21 May 2009 11h 07m 50.67s +07° 55' 52.7" 0.8
31 May 2009 11h 08m 22.45s +07° 50' 39.2" 0.9
10 Jun 2009 11h 09m 31.78s +07° 41' 31.9" 0.9
20 Jun 2009 11h 11m 16.61s +07° 28' 46.2" 1.0
30 Jun 2009 11h 13m 34.62s +07° 12' 37.9" 1.0
10 Jul 2009 11h 16m 22.45s +06° 53' 29.1" 1.0
20 Jul 2009 11h 19m 36.65s +06° 31' 41.6" 1.1
30 Jul 2009 11h 23m 13.83s +06° 07' 36.8" 1.1
09 Aug 2009 11h 27m 10.09s +05° 41' 40.1" 1.1
19 Aug 2009 11h 31m 21.75s +05° 14' 14.5" 1.1
29 Aug 2009 11h 35m 45.11s +04° 45' 44.7" 1.1
Too close to the Sun for observation
08 Oct 2009 11h 53m 58.05s +02° 49' 40.4" 1.1
18 Oct 2009 11h 58m 21.70s +02° 22' 19.9" 1.1
28 Oct 2009 12h 02m 33.35s +01° 56' 35.3" 1.1
07 Nov 2009 12h 06m 28.71s +01° 32' 54.5" 1.0
17 Nov 2009 12h 10m 03.74s +01° 11' 43.7" 1.0
27 Nov 2009 12h 13m 14.06s +00° 53' 31.0" 1.0
07 Dec 2009 12h 15m 55.65s +00° 38' 40.4" 1.0
17 Dec 2009 12h 18m 04.81s +00° 27' 33.8" 0.9
27 Dec 2009 12h 19m 38.03s +00° 20' 30.3" 0.9



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