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Hebrew Calendar in A.D. 32 — Reference A
In the year AD 32, Nisan 10 was actually off by three full days relative to the lunar position. Stated another way, Nisan 10 should have been Nisan 7. The Hebrew calendar is only an approximation of the moon's position relative to the earth. Our solar calendar is also an approximation of the earth's position relative to the sun. Scholars have shown that the religious calendar of Jerusalem could be off by three full days.(1)(2)

References:

  1. E. J. Bickerman, Chronology of the Ancient World, Cornell University Press, Ithaca, New York, © 1968, pp 25-26.
  2. "Calendar, Hebrew," Encyclopedia Judaica, Keter Publishing House Jerusalem Ltd., © 1972 Keter Press Enterprise, Jerusalem, Israel, Vol 5, p 49: (Year length varied 352-56 Days).

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Variations in the Hebrew Calendar in Ancient History — Reference B

Before AD 360, the Hebrew calendar varied up to five days annually with lengths of 352 to 356 days. The five day variation allowed up to three days divergence either before or after the exact time of the new moon. My research, based on astronomical charts and the biblical story, shows a three day discrepancy for AD 32, a very rare occurrence. How was the first day of each month set in the first century? A court required witnesses to agree through observing each new lunar crescent. According to Encyclopedia Judaica, fixing the first day of a new month could be deliberately prolonged or sped up by choosing a site favorable for observing the new crescent. My research agrees with Encyclopedia Judaica.(1)

Reference:

  1. "Calendar, Hebrew," Encyclopedia Judaica, Keter Publishing House Jerusalem Ltd., © 1972 Keter Press Enterprise, Jerusalem, Israel, Vol 5, p 49: (Year length varied 352-56 Days).

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