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=== Finding day of week given Julian day number === Because a Julian day starts at noon while a civil day starts at midnight, the Julian day number needs to be adjusted to find the day of week: for a point in time in a given Julian day after midnight UT and before 12:00 UT, add 1 or use the JDN of the next afternoon. The US day of the [[week]] '''W1''' (for an afternoon or evening UT) can be determined from the Julian Day Number '''J''' with the expression: {{block indent|1='''W1''' = [[Modular arithmetic|mod]](''J'' + 1, 7)<ref>Richards 2013, pp. 592, 618.</ref>}} {| class="wikitable" |-style="text-align:center;" !W1 | 0 || 1 || 2 || 3 || 4 || 5 || 6 |- !Day of the week |Sun||Mon||Tue||Wed||Thu||Fri||Sat |} If the moment in time is after midnight UT (and before 12:00 UT), then one is already in the next day of the week. The ISO day of the week '''W0''' can be determined from the Julian Day Number '''J''' with the expression: {{block indent|1='''W0''' = mod (''J'', 7) + 1}} {| class="wikitable" |- style="text-align:center;" !W0 | 1 || 2 || 3 || 4 || 5 || 6 || 7 |- !Day of the week |Mon||Tue||Wed||Thu||Fri||Sat||Sun |}
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