SolmanacLearn

Equation of time, 2054

Every day of 2054 at 12:00 UTC: how far a sundial runs ahead of the clock (early) or behind it (late), the Sun’s declination, and how much the day from one solar noon to the next differs from 24 hours.

The sundial runs furthest ahead around Nov 3, by 16 min 28 s, and furthest behind aroundFeb 11, by 14 min 8 s.

January

DateSundialDeclinationSolar day
Thu, Jan 13:36 late22.95° S+28.1 s
Fri, Jan 2Perihelion4:04 late22.86° S+27.8 s
Sat, Jan 34:31 late22.76° S+27.4 s
Sun, Jan 44:58 late22.66° S+27.0 s
Mon, Jan 55:25 late22.55° S+26.6 s
Tue, Jan 65:52 late22.43° S+26.1 s
Wed, Jan 76:18 late22.30° S+25.6 s
Thu, Jan 86:43 late22.16° S+25.1 s
Fri, Jan 97:08 late22.02° S+24.6 s
Sat, Jan 107:32 late21.87° S+24.0 s
Sun, Jan 117:56 late21.72° S+23.4 s
Mon, Jan 128:19 late21.55° S+22.8 s
Tue, Jan 138:42 late21.38° S+22.2 s
Wed, Jan 149:04 late21.20° S+21.5 s
Thu, Jan 159:25 late21.02° S+20.9 s
Fri, Jan 169:46 late20.83° S+20.2 s
Sat, Jan 1710:05 late20.63° S+19.5 s
Sun, Jan 1810:24 late20.43° S+18.8 s
Mon, Jan 1910:43 late20.22° S+18.0 s
Tue, Jan 2011:00 late20.00° S+17.3 s
Wed, Jan 2111:17 late19.78° S+16.5 s
Thu, Jan 2211:33 late19.55° S+15.8 s
Fri, Jan 2311:49 late19.32° S+15.0 s
Sat, Jan 2412:03 late19.08° S+14.2 s
Sun, Jan 2512:17 late18.83° S+13.4 s
Mon, Jan 2612:30 late18.58° S+12.6 s
Tue, Jan 2712:42 late18.32° S+11.8 s
Wed, Jan 2812:53 late18.06° S+11.0 s
Thu, Jan 2913:04 late17.79° S+10.2 s
Fri, Jan 3013:13 late17.52° S+9.4 s
Sat, Jan 3113:22 late17.24° S+8.6 s

February

DateSundialDeclinationSolar day
Sun, Feb 113:31 late16.95° S+7.7 s
Mon, Feb 213:38 late16.66° S+6.9 s
Tue, Feb 3February Cross-Quarter13:44 late16.37° S+6.1 s
Wed, Feb 413:50 late16.07° S+5.3 s
Thu, Feb 513:55 late15.77° S+4.5 s
Fri, Feb 613:59 late15.46° S+3.7 s
Sat, Feb 714:03 late15.14° S+2.9 s
Sun, Feb 814:05 late14.83° S+2.1 s
Mon, Feb 914:07 late14.51° S+1.3 s
Tue, Feb 1014:08 late14.18° S+0.6 s
Wed, Feb 11Great Latesun14:08 late13.85° S−0.2 s
Thu, Feb 1214:08 late13.52° S−1.0 s
Fri, Feb 1314:07 late13.18° S−1.7 s
Sat, Feb 1414:05 late12.84° S−2.4 s
Sun, Feb 1514:02 late12.50° S−3.2 s
Mon, Feb 1613:58 late12.15° S−3.9 s
Tue, Feb 1713:54 late11.80° S−4.6 s
Wed, Feb 1813:49 late11.45° S−5.3 s
Thu, Feb 1913:43 late11.09° S−5.9 s
Fri, Feb 2013:37 late10.74° S−6.6 s
Sat, Feb 2113:30 late10.37° S−7.2 s
Sun, Feb 2213:22 late10.01° S−7.8 s
Mon, Feb 2313:14 late9.64° S−8.4 s
Tue, Feb 2413:05 late9.27° S−9.1 s
Wed, Feb 2512:56 late8.90° S−9.6 s
Thu, Feb 2612:46 late8.53° S−10.2 s
Fri, Feb 2712:35 late8.15° S−10.7 s
Sat, Feb 2812:24 late7.77° S−11.3 s

March

DateSundialDeclinationSolar day
Sun, Mar 112:13 late7.39° S−11.8 s
Mon, Mar 212:01 late7.01° S−12.2 s
Tue, Mar 311:48 late6.63° S−12.7 s
Wed, Mar 411:36 late6.24° S−13.2 s
Thu, Mar 511:22 late5.86° S−13.6 s
Fri, Mar 611:09 late5.47° S−14.0 s
Sat, Mar 710:54 late5.08° S−14.4 s
Sun, Mar 810:40 late4.69° S−14.8 s
Mon, Mar 910:25 late4.30° S−15.1 s
Tue, Mar 1010:10 late3.91° S−15.5 s
Wed, Mar 119:54 late3.51° S−15.8 s
Thu, Mar 129:38 late3.12° S−16.1 s
Fri, Mar 139:22 late2.73° S−16.3 s
Sat, Mar 149:06 late2.33° S−16.6 s
Sun, Mar 158:49 late1.94° S−16.8 s
Mon, Mar 168:32 late1.54° S−17.0 s
Tue, Mar 178:15 late1.15° S−17.2 s
Wed, Mar 187:58 late0.75° S−17.4 s
Thu, Mar 197:40 late0.35° S−17.6 s
Fri, Mar 20March Equinox7:23 late0.04° N−17.7 s
Sat, Mar 217:05 late0.43° N−17.8 s
Sun, Mar 226:47 late0.83° N−17.9 s
Mon, Mar 236:29 late1.22° N−17.9 s
Tue, Mar 246:11 late1.62° N−18.0 s
Wed, Mar 255:53 late2.01° N−18.0 s
Thu, Mar 26Minor Shortsol5:35 late2.40° N−18.0 s
Fri, Mar 275:16 late2.79° N−18.0 s
Sat, Mar 284:58 late3.18° N−18.0 s
Sun, Mar 294:40 late3.57° N−17.9 s
Mon, Mar 304:22 late3.96° N−17.9 s
Tue, Mar 314:05 late4.35° N−17.8 s

April

DateSundialDeclinationSolar day
Wed, Apr 13:47 late4.74° N−17.7 s
Thu, Apr 23:29 late5.12° N−17.6 s
Fri, Apr 33:12 late5.50° N−17.4 s
Sat, Apr 4Outward Midreach2:55 late5.88° N−17.2 s
Sun, Apr 52:37 late6.26° N−17.1 s
Mon, Apr 62:21 late6.64° N−16.9 s
Tue, Apr 72:04 late7.02° N−16.6 s
Wed, Apr 81:48 late7.39° N−16.4 s
Thu, Apr 91:31 late7.76° N−16.1 s
Fri, Apr 101:15 late8.13° N−15.9 s
Sat, Apr 111:00 late8.50° N−15.6 s
Sun, Apr 12Northbound Echosun0:44 late8.87° N−15.3 s
Mon, Apr 130:29 late9.23° N−14.9 s
Tue, Apr 140:15 late9.59° N−14.6 s
Wed, Apr 15Vernal Evensun0:009.95° N−14.3 s
Thu, Apr 160:14 early10.30° N−13.9 s
Fri, Apr 170:28 early10.65° N−13.5 s
Sat, Apr 180:41 early11.00° N−13.1 s
Sun, Apr 190:54 early11.35° N−12.7 s
Mon, Apr 201:07 early11.69° N−12.3 s
Tue, Apr 211:19 early12.03° N−11.8 s
Wed, Apr 221:31 early12.37° N−11.4 s
Thu, Apr 231:42 early12.70° N−10.9 s
Fri, Apr 241:53 early13.03° N−10.5 s
Sat, Apr 252:03 early13.36° N−10.0 s
Sun, Apr 262:13 early13.68° N−9.5 s
Mon, Apr 272:22 early13.99° N−9.0 s
Tue, Apr 282:31 early14.31° N−8.5 s
Wed, Apr 292:39 early14.62° N−8.0 s
Thu, Apr 302:47 early14.93° N−7.4 s

May

DateSundialDeclinationSolar day
Fri, May 12:54 early15.23° N−6.9 s
Sat, May 23:00 early15.53° N−6.3 s
Sun, May 33:06 early15.82° N−5.8 s
Mon, May 43:12 early16.11° N−5.2 s
Tue, May 5May Cross-Quarter3:17 early16.40° N−4.7 s
Wed, May 63:21 early16.68° N−4.1 s
Thu, May 73:25 early16.95° N−3.5 s
Fri, May 83:28 early17.22° N−3.0 s
Sat, May 93:31 early17.49° N−2.4 s
Sun, May 103:33 early17.75° N−1.8 s
Mon, May 113:34 early18.01° N−1.3 s
Tue, May 123:35 early18.26° N−0.7 s
Wed, May 13Lesser Earlysun3:35 early18.51° N−0.1 s
Thu, May 143:35 early18.75° N+0.4 s
Fri, May 153:35 early18.98° N+1.0 s
Sat, May 163:33 early19.21° N+1.6 s
Sun, May 173:32 early19.44° N+2.1 s
Mon, May 183:29 early19.66° N+2.7 s
Tue, May 193:26 early19.87° N+3.2 s
Wed, May 203:23 early20.08° N+3.8 s
Thu, May 213:19 early20.28° N+4.3 s
Fri, May 223:15 early20.48° N+4.8 s
Sat, May 233:10 early20.67° N+5.3 s
Sun, May 243:04 early20.86° N+5.8 s
Mon, May 252:58 early21.04° N+6.3 s
Tue, May 262:52 early21.21° N+6.8 s
Wed, May 272:45 early21.38° N+7.3 s
Thu, May 282:37 early21.54° N+7.7 s
Fri, May 292:29 early21.69° N+8.2 s
Sat, May 302:21 early21.84° N+8.6 s
Sun, May 312:12 early21.98° N+9.0 s

June

DateSundialDeclinationSolar day
Mon, Jun 12:03 early22.12° N+9.4 s
Tue, Jun 21:53 early22.25° N+9.8 s
Wed, Jun 31:43 early22.37° N+10.1 s
Thu, Jun 41:33 early22.48° N+10.5 s
Fri, Jun 51:22 early22.59° N+10.8 s
Sat, Jun 61:11 early22.70° N+11.1 s
Sun, Jun 71:00 early22.79° N+11.4 s
Mon, Jun 80:48 early22.88° N+11.7 s
Tue, Jun 90:36 early22.97° N+11.9 s
Wed, Jun 100:24 early23.04° N+12.1 s
Thu, Jun 110:12 early23.11° N+12.3 s
Fri, Jun 12Estival Evensun0:01 late23.17° N+12.5 s
Sat, Jun 130:13 late23.23° N+12.7 s
Sun, Jun 140:26 late23.28° N+12.8 s
Mon, Jun 150:39 late23.32° N+12.9 s
Tue, Jun 160:52 late23.36° N+13.0 s
Wed, Jun 171:05 late23.38° N+13.0 s
Thu, Jun 181:18 late23.41° N+13.1 s
Fri, Jun 19Minor Longsol1:31 late23.42° N+13.1 s
Sat, Jun 201:44 late23.43° N+13.1 s
Sun, Jun 21June Solstice1:57 late23.43° N+13.1 s
Mon, Jun 222:10 late23.42° N+13.0 s
Tue, Jun 232:23 late23.41° N+12.9 s
Wed, Jun 242:35 late23.39° N+12.8 s
Thu, Jun 252:48 late23.36° N+12.7 s
Fri, Jun 263:01 late23.33° N+12.6 s
Sat, Jun 273:13 late23.29° N+12.4 s
Sun, Jun 283:25 late23.24° N+12.2 s
Mon, Jun 293:37 late23.19° N+12.0 s
Tue, Jun 303:49 late23.13° N+11.7 s

July

DateSundialDeclinationSolar day
Wed, Jul 14:01 late23.06° N+11.5 s
Thu, Jul 24:12 late22.98° N+11.2 s
Fri, Jul 34:24 late22.90° N+10.9 s
Sat, Jul 44:34 late22.82° N+10.6 s
Sun, Jul 5Aphelion4:45 late22.72° N+10.2 s
Mon, Jul 64:55 late22.62° N+9.9 s
Tue, Jul 75:05 late22.51° N+9.5 s
Wed, Jul 85:14 late22.40° N+9.1 s
Thu, Jul 95:23 late22.28° N+8.7 s
Fri, Jul 105:32 late22.15° N+8.2 s
Sat, Jul 115:40 late22.02° N+7.8 s
Sun, Jul 125:47 late21.88° N+7.3 s
Mon, Jul 135:54 late21.74° N+6.8 s
Tue, Jul 146:01 late21.58° N+6.3 s
Wed, Jul 156:07 late21.43° N+5.8 s
Thu, Jul 166:12 late21.26° N+5.3 s
Fri, Jul 176:17 late21.09° N+4.8 s
Sat, Jul 186:22 late20.92° N+4.3 s
Sun, Jul 196:26 late20.74° N+3.7 s
Mon, Jul 206:29 late20.55° N+3.1 s
Tue, Jul 216:32 late20.36° N+2.6 s
Wed, Jul 226:34 late20.16° N+2.0 s
Thu, Jul 236:36 late19.95° N+1.4 s
Fri, Jul 246:37 late19.74° N+0.8 s
Sat, Jul 25Lesser Latesun6:37 late19.53° N+0.2 s
Sun, Jul 266:37 late19.30° N−0.4 s
Mon, Jul 276:36 late19.08° N−1.0 s
Tue, Jul 286:35 late18.85° N−1.6 s
Wed, Jul 296:33 late18.61° N−2.2 s
Thu, Jul 306:31 late18.37° N−2.8 s
Fri, Jul 316:28 late18.12° N−3.4 s

August

DateSundialDeclinationSolar day
Sat, Aug 16:24 late17.87° N−4.0 s
Sun, Aug 26:20 late17.61° N−4.6 s
Mon, Aug 36:15 late17.35° N−5.2 s
Tue, Aug 46:10 late17.09° N−5.8 s
Wed, Aug 56:04 late16.82° N−6.4 s
Thu, Aug 65:57 late16.54° N−7.0 s
Fri, Aug 7August Cross-Quarter5:50 late16.26° N−7.6 s
Sat, Aug 85:42 late15.98° N−8.2 s
Sun, Aug 95:33 late15.69° N−8.8 s
Mon, Aug 105:24 late15.40° N−9.4 s
Tue, Aug 115:15 late15.10° N−9.9 s
Wed, Aug 125:05 late14.80° N−10.5 s
Thu, Aug 134:54 late14.49° N−11.0 s
Fri, Aug 144:42 late14.19° N−11.6 s
Sat, Aug 154:30 late13.88° N−12.1 s
Sun, Aug 164:18 late13.56° N−12.6 s
Mon, Aug 174:05 late13.24° N−13.1 s
Tue, Aug 183:52 late12.92° N−13.6 s
Wed, Aug 193:38 late12.59° N−14.1 s
Thu, Aug 203:23 late12.26° N−14.6 s
Fri, Aug 213:08 late11.93° N−15.1 s
Sat, Aug 222:53 late11.59° N−15.5 s
Sun, Aug 232:37 late11.26° N−16.0 s
Mon, Aug 242:21 late10.91° N−16.4 s
Tue, Aug 252:04 late10.57° N−16.8 s
Wed, Aug 261:47 late10.22° N−17.2 s
Thu, Aug 271:30 late9.87° N−17.6 s
Fri, Aug 281:12 late9.52° N−17.9 s
Sat, Aug 290:54 late9.16° N−18.3 s
Sun, Aug 30Southbound Echosun0:36 late8.80° N−18.6 s
Mon, Aug 310:17 late8.44° N−18.9 s

September

DateSundialDeclinationSolar day
Tue, Sep 1Autumnal Evensun0:02 early8.08° N−19.2 s
Wed, Sep 20:21 early7.72° N−19.5 s
Thu, Sep 30:41 early7.35° N−19.8 s
Fri, Sep 41:01 early6.98° N−20.0 s
Sat, Sep 51:21 early6.61° N−20.2 s
Sun, Sep 61:41 early6.24° N−20.4 s
Mon, Sep 72:01 early5.87° N−20.6 s
Tue, Sep 82:22 early5.49° N−20.8 s
Wed, Sep 92:43 early5.11° N−21.0 s
Thu, Sep 103:04 early4.73° N−21.1 s
Fri, Sep 113:25 early4.35° N−21.2 s
Sat, Sep 123:47 early3.97° N−21.3 s
Sun, Sep 134:08 early3.59° N−21.4 s
Mon, Sep 144:29 early3.21° N−21.4 s
Tue, Sep 154:51 early2.82° N−21.5 s
Wed, Sep 16Major Shortsol5:13 early2.44° N−21.5 s
Thu, Sep 175:34 early2.05° N−21.5 s
Fri, Sep 185:56 early1.67° N−21.5 s
Sat, Sep 196:17 early1.28° N−21.4 s
Sun, Sep 206:39 early0.89° N−21.4 s
Mon, Sep 217:00 early0.50° N−21.3 s
Tue, Sep 22September Equinox7:21 early0.11° N−21.2 s
Wed, Sep 237:43 early0.28° S−21.1 s
Thu, Sep 248:04 early0.67° S−20.9 s
Fri, Sep 258:24 early1.05° S−20.8 s
Sat, Sep 268:45 early1.44° S−20.6 s
Sun, Sep 279:06 early1.83° S−20.4 s
Mon, Sep 289:26 early2.22° S−20.1 s
Tue, Sep 299:46 early2.61° S−19.9 s
Wed, Sep 3010:05 early3.00° S−19.6 s

October

DateSundialDeclinationSolar day
Thu, Oct 110:25 early3.38° S−19.3 s
Fri, Oct 210:44 early3.77° S−19.0 s
Sat, Oct 311:03 early4.16° S−18.7 s
Sun, Oct 411:21 early4.54° S−18.4 s
Mon, Oct 511:39 early4.93° S−18.0 s
Tue, Oct 6Inward Midreach11:57 early5.31° S−17.6 s
Wed, Oct 712:14 early5.69° S−17.2 s
Thu, Oct 812:31 early6.08° S−16.8 s
Fri, Oct 912:48 early6.46° S−16.3 s
Sat, Oct 1013:04 early6.83° S−15.8 s
Sun, Oct 1113:19 early7.21° S−15.4 s
Mon, Oct 1213:35 early7.58° S−14.9 s
Tue, Oct 1313:49 early7.96° S−14.3 s
Wed, Oct 1414:03 early8.33° S−13.8 s
Thu, Oct 1514:17 early8.70° S−13.2 s
Fri, Oct 1614:30 early9.07° S−12.7 s
Sat, Oct 1714:43 early9.43° S−12.1 s
Sun, Oct 1814:54 early9.79° S−11.5 s
Mon, Oct 1915:06 early10.16° S−10.8 s
Tue, Oct 2015:16 early10.51° S−10.2 s
Wed, Oct 2115:26 early10.87° S−9.5 s
Thu, Oct 2215:35 early11.22° S−8.9 s
Fri, Oct 2315:44 early11.57° S−8.2 s
Sat, Oct 2415:52 early11.92° S−7.5 s
Sun, Oct 2515:59 early12.26° S−6.8 s
Mon, Oct 2616:05 early12.61° S−6.0 s
Tue, Oct 2716:11 early12.94° S−5.3 s
Wed, Oct 2816:16 early13.28° S−4.5 s
Thu, Oct 2916:20 early13.61° S−3.8 s
Fri, Oct 3016:23 early13.94° S−3.0 s
Sat, Oct 3116:25 early14.26° S−2.2 s

November

DateSundialDeclinationSolar day
Sun, Nov 116:27 early14.58° S−1.4 s
Mon, Nov 216:28 early14.90° S−0.6 s
Tue, Nov 3Great Earlysun16:28 early15.21° S+0.2 s
Wed, Nov 416:27 early15.52° S+1.1 s
Thu, Nov 516:26 early15.82° S+1.9 s
Fri, Nov 616:24 early16.12° S+2.7 s
Sat, Nov 7November Cross-Quarter16:20 early16.41° S+3.5 s
Sun, Nov 816:16 early16.71° S+4.4 s
Mon, Nov 916:12 early16.99° S+5.2 s
Tue, Nov 1016:06 early17.27° S+6.1 s
Wed, Nov 1116:00 early17.55° S+6.9 s
Thu, Nov 1215:52 early17.82° S+7.8 s
Fri, Nov 1315:44 early18.08° S+8.6 s
Sat, Nov 1415:35 early18.34° S+9.5 s
Sun, Nov 1515:25 early18.60° S+10.3 s
Mon, Nov 1615:15 early18.85° S+11.2 s
Tue, Nov 1715:03 early19.09° S+12.0 s
Wed, Nov 1814:51 early19.33° S+12.8 s
Thu, Nov 1914:38 early19.56° S+13.7 s
Fri, Nov 2014:24 early19.79° S+14.5 s
Sat, Nov 2114:09 early20.01° S+15.3 s
Sun, Nov 2213:53 early20.23° S+16.1 s
Mon, Nov 2313:37 early20.43° S+16.9 s
Tue, Nov 2413:19 early20.64° S+17.6 s
Wed, Nov 2513:01 early20.83° S+18.4 s
Thu, Nov 2612:42 early21.02° S+19.1 s
Fri, Nov 2712:23 early21.20° S+19.8 s
Sat, Nov 2812:03 early21.38° S+20.6 s
Sun, Nov 2911:42 early21.55° S+21.2 s
Mon, Nov 3011:20 early21.71° S+21.9 s

December

DateSundialDeclinationSolar day
Tue, Dec 110:58 early21.87° S+22.6 s
Wed, Dec 210:35 early22.02° S+23.2 s
Thu, Dec 310:11 early22.16° S+23.8 s
Fri, Dec 49:47 early22.29° S+24.4 s
Sat, Dec 59:22 early22.42° S+24.9 s
Sun, Dec 68:57 early22.54° S+25.4 s
Mon, Dec 78:31 early22.65° S+25.9 s
Tue, Dec 88:05 early22.75° S+26.4 s
Wed, Dec 97:39 early22.85° S+26.9 s
Thu, Dec 107:12 early22.94° S+27.3 s
Fri, Dec 116:44 early23.03° S+27.7 s
Sat, Dec 126:16 early23.10° S+28.0 s
Sun, Dec 135:48 early23.17° S+28.4 s
Mon, Dec 145:20 early23.23° S+28.6 s
Tue, Dec 154:51 early23.28° S+28.9 s
Wed, Dec 164:22 early23.32° S+29.1 s
Thu, Dec 173:53 early23.36° S+29.3 s
Fri, Dec 183:24 early23.39° S+29.5 s
Sat, Dec 192:54 early23.41° S+29.6 s
Sun, Dec 202:25 early23.42° S+29.7 s
Mon, Dec 21December Solstice1:55 early23.43° S+29.8 s
Tue, Dec 22Major Longsol1:25 early23.43° S+29.8 s
Wed, Dec 230:55 early23.42° S+29.8 s
Thu, Dec 240:25 early23.40° S+29.8 s
Fri, Dec 25Hibernal Evensun0:04 late23.37° S+29.7 s
Sat, Dec 260:34 late23.34° S+29.6 s
Sun, Dec 271:04 late23.30° S+29.4 s
Mon, Dec 281:33 late23.25° S+29.3 s
Tue, Dec 292:02 late23.19° S+29.0 s
Wed, Dec 302:31 late23.12° S+28.8 s
Thu, Dec 313:00 late23.05° S+28.5 s

Reading the table

Sundial is the equation of time: minutes and seconds the Sun stands ahead of the clock (early) or behind it (late) at mean noon. To turn a sundial reading into mean time at your longitude, take an early Sun’s minutes off the reading and add a late Sun’s. Then add four minutes for every degree you are west of your time zone’s meridian (subtract east of it), and an hour in daylight saving time.

The equation of time changes by at most half a minute a day, so a value taken at 12:00 UTC holds anywhere on Earth to within about fifteen seconds. Declination is the Sun’s angle north or south of the celestial equator. Solar day is the time from one solar noon to the next, minus 24 hours; its peaks are Major and MinorLongsol and Shortsol.

Values come from NASA JPL’s DE440 ephemeris, sampled daily and read at 12:00 UTC, to within about 0.15 seconds of the equation of time. Moments are listed on their UTC date. See the methodology, or download every year’s moments from the data page.