Why must a leap day be added to the calendar approximately every four years?

Answer

Because one full orbit takes approximately 365 and 1/4 days

The excess of one quarter of a day in the revolution period necessitates the periodic addition of a leap day to keep the calendar aligned with the astronomical reality of the year length.

Why must a leap day be added to the calendar approximately every four years?

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Movements of the Earth - Earth's Revolution & Rotation - YouTube

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