Astronomers have calculated what they term a "mean tropical year" of 365.24218967 days, often rounded up to 365.2422 days.
Students of Biblical time intervals, desiring accuracy of computation, have dutifully used this precise value as one seasonal cycle in God's celestial clock. Indeed, astronomers and textbooks suggested nothing else.
Yet in recent years, scientists and scholars have awakened to the grave flaw in using mean tropical year as a multiplicand in time-date-season calculations.
The "mean tropical year" is an artificially-derived timespan not occurring in nature. It was calculated by astronomers using time values involved in seasonal points other than the vernal equinox. These points constantly fluctuate among themselves due to: lesser-known rotational or "wobble" cycles of the earth; varying speeds the Earth takes along its elliptical orbit; and gravitational pull from the Moon and nearby planets.
If we are truly looking to the seasons to define year-length, then we should be using the vernal equinox year .
Throughout history, the astronomical event defining a new year has been the Vernal Equinox, for both agricultural and religious purposes. Astronomers measure the "vernal equinox year" at 365.2424 days-- a figure that can fluctuaute slightly, yet has been holding steady for millenia.
But what does .2424 days actually mean? No year as we know it contains "fractional days". To remove this decimal value, multiply 365.2424 by 10,000 ... and see this as 3,652,424 complete days over 10,000 years.
Our modern ("Gregorian") calendar nearly matches this pace. Over 10,000 years, this calendar sees the sun rise and set exactly 3,652,425 times. Each one of those periods of light and dark are counted and named.
One caveat:
At the rate quoted above, the v-e year and calendar year may accumulate about a day's difference after this stretch of 10,000 calendar years:
3562425 days vs 3652424 days
So, did an extra day get invented? or get wiped out? No. It just means that the 10,000-year Gregorian 'odometer' will roll over to zero, some hours after the 10,000th seasonal turning point is reached. This is of trivial importance if our window of history is only 13,000 years wide. What is one day of seasonal slippage, when by comparison, there have been roughly 180 days of slippage against the "starfield"-year due to the well-known gyration of our axis?
Lesson: The Mean Tropical Year should be replaced in our thinking by the Vernal Equinox Year:
365.2422 365.2424
Indeed, our modern calendar can be a trusted tool for the Bible student, once the facts are known:
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The Gregorian reforms were actually corrections.
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Pope Gregory shared our own desire, to connect accurately with the time of Christ.
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The changes were devised by learned mathematicians and astronomers.
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They had the capability at that time to measure a year within a few minutes.
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The Julian calendar they started with was an invention of Rome in the decades before Christ.
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The only change was to the leap-yeaer rules.
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The date was then set ahead ten days to fix the error accrued since 325 AD, the earliest reliable record.
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The vernal equinox would resume its place at March 21, and stay there.
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God's celestial clock would be honored, as the flow of seasons defined time, and the calendar described it.
See:
1. Error in Statement of Tropical Year
2. Calendar Wiki: Tropical Year / Subtleties
3. Calendar Wiki: Gregorian Calendar / Accuracy
John O'Leary / Bible-calculator