Thursday, March 11, 2021

Chronologies and Julian days

Joseph Justus Scaliger

One of the fundamental concerns of civilized man is the study of the past, natural or human. For this, it is necessary to be able to fix the date on which each event took place. This is the goal of a science called chronology.

If the exact date of an event is known, we can define it by giving the day, month and year in which it took place. For example, we can say that the Second World War began on September 1, 1939. We have no problem with the day and the month, but how are the years numbered? Obviously we must take an origin or starting point that everybody will agree to use.

This dating system causes a curious effect: the numbers assigned to the years after the origin grow towards the future, while the previous years grow towards the past. Thus, the year 2000 of our era came after the year 1000, but the year 2000 B.C.E. came before 1000 B.C.E. (see below the meaning of these acronyms). The years prior to the origin work as negative numbers.

If we could adopt the date of the Big Bang as the beginning of the count of years, the years prior to the origin would disappear, because nothing is known to have happened before the beginning of the universe. The problem, of course, is knowing the exact moment when this event took place.

The chronological system of the Roman Empire counted years from the mythical date of the founding of the city (753 B.C.), which allowed the Romans to dispense with negative numbers. A certain date was named year 533 ab urbe condita (A.U.C.), which corresponds to 221 B.C.

Among the chronological systems based on specific events we can mention the Islamic era, which counts the years from the flight of Muhammad from Mecca to Medina (the hegira), which took place on July 17, AD 622. This dating system has the peculiarity that we can't calculate the current Islamic year by subtracting 622 from the international date. The Islamic year is lunar and has 354 or 355 days. Therefore, the count of their years grows faster than ours, so the year 1980 of the Christian era was the year 1400 of the hegira rather than 1358, as would correspond with a count of solar years.

The French revolutionaries of the late 18th century also tried to impose a new chronological system. In addition to changing the calendar, they adopted September 22, 1792 as the initial date of history, calling it the day one of vendémiaire of the year 1 of the Republic. This chronology was short-lived, less than fourteen years, being abolished by Napoleon Bonaparte in 1806.

The international chronological system we use is the Christian era. After the fall of the Western Roman Empire, the Roman era was used for a few more centuries, but in the 6th century the theologian Dionysus Exiguus calculated the year of Christ's birth as 754 A.U.C. (see this post in my blog). This date was used later as the beginning of the count of years and was called year 1 A.D. (Anno Domini, the Year of the Lord). Later dates of the Christian era could be calculated by subtracting 753 years from the Roman date, in force until then. Those prior to 754 A.U.C. corresponded to negative numbers in the new era, and were obtained by subtracting the Roman date from 754 and adding the acronym B.C. (Before Christ). For instance, the year 533 A.U.C. corresponds to 221 B.C., as mentioned above.

Today the Christian era has become the international system of chronology, used by commerce, history and science to fix all historical dates between 5000 B.C. and today. But as the West insists on renouncing the Christian values ​​that gave it birth, other acronyms are now used for the count of years. So we speak of the Common Era (C.E.) and Before the Common Era (B.C.E.). But since I am a Christian, I insist on interpreting these new acronyms in a more traditional way, as Christian Era and Before the Christian Era.

A small discrepancy was introduced for astronomical calculations. In the general use system there is no year zero, since 1 B.C.E. immediately precedes 1 C.E. Astronomers, on the other hand, do use zero. All dates since 1 C.E. are the same, but 1 B.C.E. is the astronomical year zero, and any year before the beginning of the Christian era loses one unit: thus, 300 B.C.E. is the astronomical year -299.

There is another method of counting dates, sometimes used by historians and astronomers. They are the Julian days, invented in 1582 by Joseph Justus Scaliger. Julian days have nothing to do with the Julian calendar or with the Roman dictator Julius Caesar, as their author gave them that name in honor of his father, Julius Caesar Scaliger. Dates are defined by the number of days since January 1, 4713 B.C.E., which took place before the beginning of history. A specific date is defined by a single number rather than three (year, month, and day). This number is always positive for all historical dates. To find out the number of days elapsed between two specific dates, we must simply subtract their respective Julian days. Of course, it has the disadvantage of working with very large numbers. For instance, January 1, 2001 (the first day of the 21st century and the third millennium of our era) corresponds to Julian day 2,451,544.

The attached listing shows a computer program written in the C language that calculates the Julian day of any date.

 long JulianDay ( int day, int month, int year) {

      int f = (month<3) ? 1 : 0;

      int g = year+4900-f;

      if (year<1582 || (year==1582 && (month<10 || (month==10 && day<5))))

          return day - 32114L + ((1461L*(g-100))/4) + ((367L*(month-2+12*f))/12) ;

      else if (year>1582 || (year==1582 && (month>10 || (month==10 && day>14))))

          return day - 32075L + ((1461L*(g-100))/4) + ((367L*(month-2+12*f))/12) - (3*(g/100))/4;

      else printf (“That date does not exist\n”); return 0;

}

The same post in Spanish

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Manuel Alfonseca

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