This question belongs in astronomy, not math, but the answer is the day on which the winter solstice occurs, mot often December 23 in the Norther Hemisphere.
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In a regular year, the 88th day of the year is March 29. In a leap year, the 88th day of the year is March 28.
In a non-leap year, the 144th day of the year is May 24. In a leap year, the 144th day of the year is May 23.
In a non-leap year, the 184th day of the year is July 3. In a leap year, the 184th day of the year is July 2.
The 256th day of a leap year is the 12th of September. The 256th day of a regular year is the 13th of September.
day, month and year