# Calculating the Date of Birkat Hachamah

Calculating the Date of Birkat Hachamah
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According to tradition, the sun was created at the moment of the spring equinox1 which coincided with the first moment of the fourth day of creation—the day when G‑d set into orbit the sun, moon and all the heavenly bodies.2 Since, in Jewish tradition, the day begins at the previous nightfall – as we see in the Torah's account of the story of creation, "It was evening, and it was day..." – this actually happened with nightfall on Tuesday evening.

When the sun reaches this starting point again at the exact same time of day and on the same day of the week, we recite the Birkat Hachamah the next morning, shortly after sunrise.3 This occurs once every 28 years—and this year on Nissan 14, 5769 (April 8,4 2009).5

(In other words, the spring equinox occurs every year, but on different days of the week and different times of the day. But once in 28 years it occurs on Wednesday [the fourth day of creation] at the moment of the day's onset.)

Please note, from an astronomic point of view, nothing unusual will happen on this date; the sun, moon, planets and stars will not be aligned in any specific pattern.6

## The Calculation

The starting point is the first moment of the (evening preceding the) first Wednesday in history—the fourth day of Creation. Let us use Tuesday evening at 6:00 p.m. as a rounded off time.

According to the astronomical calculations of the 3rd century Babylonian sage Shmuel – regarding whom the Talmud7 says, "He was familiar with the pathways of the heaven as with the streets of his hometown Neharda'a" – the length of a solar year is 365.25 days, or 52 weeks plus 1¼ days.8 It thus follows that precisely one year later, when the sun returned to the original position it occupied at the moment of its creation, it would be 1¼ days (one day and six hours) later in the week: Wednesday at midnight. After two years, it would be 2½ days later in the week: Friday at 6:00 a.m. Only after 28 years, would the sun return to that position on Tuesday at 6:00 p.m.

## Birkat Hachamah vs. the Actual Date of the Spring Equinox

Many will undoubtedly take note of the fact that the spring equinox this year will fall on March 20—nineteen days before we will recite the Birkat Hachamah.

To understand the reason for this, let us briefly explain the origins of the Gregorian calendar – the calendar widely used today – which replaced the hitherto used Julian calendar:

The Julian calendar was introduced by Julius Caesar in 46 BCE,9 and – like that of Shmuel – was based on a 365.25 day year. Its structure was as follows:

a. All future years were to consist of 365 days in a normal year, and 366 days in a leap year.

b. A leap year would occur every fourth year.

c. The spring equinox was set as occurring that year on the 25th of March at 6:00 pm. But since the Hebrew day begins at nightfall, the corresponding Hebrew date for the equinox would actually be the 26th March—an important factor as we will soon see.

So, in each Julian millennium there are 365,250 days (750 normal years [750 x 365 = 273,750] and 250 leap years [250 x 366 = 91,500]).

As modern science has established, however, a solar year is 365.24219 days.10 As such, 1000 tropical years is 365,242.19 days.

The Julian millennium – and Shmuel's too – is thus 7.81 days longer than the accurate solar millennium (365,250 - 365,242.19).

By the year 1582, the Julian calendar was about 10 days ahead of the tropical year, and an adjustment was again necessary. Pope Gregory XIII introduced two adjustments to the calendar, and the "Gregorian" calendar was established. These two adjustments were as follows:

a. Ten days were removed from the calendar in 1582.11

b. To prevent the need for any future corrections, a centenary year not divisible by 400 is not a leap year. The years 1700, 1800, and 1900 were therefore not leap years, whereas the years 1600 and 2000 were.

It follows that the Gregorian calendar is currently 13 days ahead of the Julian calendar: 10 days for the initial correction, plus 1 day each for the three 'skipped' leap years in 1700, 1800, and 1900. And the Gregorian calendar is 18 days ahead of Shmuel's year: the extra 5 days due to Caesar having established the spring equinox as occurring on March 26 instead of March 21.12

## The Chassidic Angle

So what is the rationale behind saying the Birkat Hachamah on a date predicated on "faulty" calculations?13

The Rebbe posited14 that this is one of those rare conundrums that cannot truly be answered based on the dry facts, rather it requires an explanation culled from the mystical teachings of Torah.15

As mentioned above, the Birkat Hachamah is scheduled for the spring equinox, at the moment when the sun was set into orbit.

Though we celebrate the anniversary of all of creation – including the sun – on Rosh Hashanah,16 approximately six months before the spring equinox, there is actually a debate in the Talmud17 whether the world was created in Tishrei or Nissan. The consensus reached by the Talmud is that with regards to the counting of years we count from Tishrei, but in all areas of Jewish law that pertain to the calculations of "tekufot," seasons (and equinoxes falls under this category), we calculate from Nissan.18

According to mystical teachings,19 both opinions are correct and not contradictory. All agree that the world was created in Tishrei, but that G‑d conceived the idea of creation in the month of Nissan. The Talmudic "debate" is which one of these two dates is more significant.20

The Talmudic ruling quoted above implies that with regards to seasons we ascribe primacy to Nissan—to the conception of the world in G‑d's thought, and the spiritual equinox, as it were: the time when the concept of a spring equinox entered G‑d's mind, rather than the point at which this concept was concretized in physical time. We are actually calculating from a base date that doesn't even exist—the spring equinox that "occurred" in the year before creation!

Accordingly, the timing of this event is set by Shmuel's system, which, according to our Sages, is precisely aligned with the "spiritual" seasons.21

(For more elaboration on this topic, see But the Sun is in the Wrong Place!)

Much of the information presented above originally appeared in an article by Dr. Julian Schamroth, on www.Kehillaton.com.
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Discussion (31)
March 12, 2012
Solar Max
Isn't this whole subject interesting now in 2012/ 5772, in light of the current scientific facts about the sun's current condition being called The Solar MAX.
Between this year of 2012/ 5772, and 2013/5773 Nasa scientists say the sun will reach a Solar Maximum. Not being sure what that outcome will be for the earth.
Maybe Messiah will come on a day like this! In LIGHT of this news it gives new meaning to Malachi 3:20, in the Neviim.
Maybe it's not about days and dates but cosmic seasons and their implications.
Carolina
Phx., AZ.
ourjewishcenter.com
March 11, 2012
Myths and Maths of the Blessing of the Sun

If anyone is still interested in my article on Birkat Hachama (title is in the subject line of this post), which answers many of the questions posted in the comments, it no longer resides at the web-address given above. It is now at: tiny.cc/jewishcalendar

The site also contains several other articles on related matters.
Motti
Melbourne, Australia
March 11, 2012
creation
I thought the sixth day of creation happened on the 1st of tishrei on Rosh Hashana, when humans were created, how then is the fourth day of creation in nissan?

I'm a little confused because I thought the Messiah will come on a day like this?
Anonymous
tomball, tx
April 12, 2009
birchat hachama
the equanox was not on 3-20th in NY, it was on 3-17 SR=SS 7:04. On 3-22 it was on the equator 6:00 am 6:00 pm.
mel
monsey, ny usa
April 12, 2009
Birkat Hachama - the Truth (3)
Sorry about the typos in my previous post - and the broken link. Should have been:
www.geocities.com/calendar.luchot.

The article is called "Myths and Maths of the Blessing of the Sun". It has explains more clearly why this is observed every 28 years, and contains some rational theories about its religious and cultural significance, and the process by which the date was originally set.
Motti
Melbourne, Australia
April 12, 2009
Birkat Hachama - the Truth (2)
There are glaring errors in this article. Firstly, the Julian calendar began in BCE 45 (astronomical nr: -44), NOT 46 BCE. And what is your source for the extraordinary statement that Julius Caesar set the March equinox date at Mar 26 instead of March 21? It makes no sense either logically or astronomically. Firstly, why should it have been March 21? The equinox that year was March 22 Julian, and what is your evidence that Julius put it at March 26?

AND you doesn't understand the Jewish calendar either! The 12 months after creation was year 2 NOT 1. (Footnote 5).
There were two other competing numbering systems, but it is clear you are not using them for you number this year as 5769. And the Shmuelian March tekufa of that year was on THUR Mar 26 Julian at 06:00 (Jewish Time). The first Shmuelian tekufat Nisan of the calendar (Wed at 00:00) was the (mostly theoretical) year 1, in the months BEFORE the creation.

www.geocities.com/calendar-luchot
Motti
Melbourne, Australia
April 12, 2009
Birkat Hachama - the Truth
David Schreiber, your comment is only correct for a two-body system. It cannot apply to the solar system or even the Sun-Earth-Moon system because a three or multi-body system DOES have an external reference point. And exactly what bearing does Eintein's theory have on this. Just because he used the word "relative" in his theory? Exactly where in Einstein's theories did you read or infer this? (Would you care to quote the relevant passage?)

Are you referring to his general theory of relativity or his special theory of relativity.
Motti
Melbourne, Australia
April 11, 2009
Re 2: Lindsay But the Sun does not have an orbit
That was a big issue in Galileu's times but since Einstein's Relativity there's no diference in saying that the sun orbits earth or the oposite. It's all dependent on where do you set the reference point and how do you choose to calculate it.

It's similar to standing in a moving train with no windows. You are going fowards to a outside observer and not moving at all to a inside observer.

And of you do look out from a window, is the ground going backwards or the train moving fowards? Depends if you fixing the reference on the outside or inside observer.
David Schreiber Gandelman
Jerusalem, Israel
April 7, 2009
Theological, not purely astronomical celebration
With arbitrary precision there may never be an EXACT lineup. 365.25 is a great first approximation, hence the celebration.
Use a more accurate 365.24 days/solar year and you get a 175 year cycle. Heres why:
Each yr would then add 1.24 days, or 124/100 days. That fraction reduces to 31/25 days/year. Solve Y * 31/25 = W * 7 for integer numbers of Years and Weeks. First solution is W=31 and Y = 175. Thus, for celebration purposes the Rabbis are right in choosing the first approximation 365 1/4 days per year!
Yochaon Bogart
Sharon, MA/USA