On
Leap Year
How about
having this extra day?
A.H. Jaffor
Ullah writes from New Orleans
How often would February 29 shows
up in the Gregorian calendar? The
answer is -- once in every four
years.
Well, the year 2004 is such a
year. We should be happy to know
that this is the second year in
the new
millennium that we are having an
extra day. In a normal year, we
get 365 days, and that is all.
However, in
a Leap Year, we get an extra day.
This is not a leap of faith that
we get an extra day or 'Leap Year
Day' for
just nothing! There is scientific
reasoning behind adding one extra
day every fourth year.
If
an extra day were not added to the
calendar every fourth year, we
would run into the trouble of
celebrating
our all too familiar seasonal
festivities. The Grishmer
Chhuti (summer vacation) would
invariably come in the
Haimantic (mid-October) days
in every 754 years. The same thing
would happen to Bangla's Sharodio
Parbon (the Durga Puja),
which would be celebrated in the
summer month of Baishakh
(April) instead of the
usual Kartik (October)
month. Who would want that? To
keep sanity to all these the
timekeepers of the
western world had devised a very
clever method. They opined what's
so wrong in adding one extra day
once every four years to keep the
seasons all intact.
It
all started like this. Mother
Nature is playing some cruel
mathematical tricks with us for a
long long time.
This trick is to do with Earth's
rotation. There is some odd thing
about the way the Earth travels
around the
sun. We all know that the time it
takes the earth to spin once on
its axis is a day. The time it
takes the
Earth to complete its annual trip
around the sun is a year. Believe
it or not, these units of time do
not divide
evenly! In summary, there is a
"Spin Problem." If the
Earth would spin a tad slower than
its normal spin, the
year would be precisely 365 days
instead of 365 days, 5 hours, 48
minutes and a little over 45
seconds.
Think of it, if the day were just
a minute longer than it is, we
would not need Leap Year Day. Can
one stretch
the time a little longer? How
about redefining the unit of time?
Instead of 1440 minutes making up
the day
(24 x 60 minutes), define one day
equal to 1441 minutes. Our entire
problem relating to "Spin
Problem" will
simply go away. However, since we
cannot change the unit of time,
the next best thing the Roman
pundits
have devised is to compensate the
world for losing approximately
one-fourth day every year. That
action
however created another problem.
The
Romans were smart enough to add
one-fourth day to get the 365.25
days Julian Year. However, the
discrepancy was still there. It
takes the Earth to go around the
sun in 365 days, 5 hours, 48
minutes, and
a little over 45 seconds. However,
the Romans added an extra 11
minutes and 15 seconds to the
calendar.
This addition has caused the
seasons to creep through the
calendar once again, only slower,
and in the
reverse direction. According to a
calculation, the Earth would run
into the same problem as described
earlier but this time once in
about 23,000 years. Fortunate for
us, things never reached that far.
In Vatican,
during Pope Gregory XIII's time
(1582) the calendar was about ten
days out of whack. To correct the
problem
10 extra days were added to the
calendar, which has brought us
thus far without any seasonal
problem.
A
new rule (Gregorian) was put in
place to make sure that the
calendar maintains the
seasonality. This rule
is the following: If the year
is divisible by 100, it is not a
Leap Year UNLESS it is also
divisible by 400.
It
turns out that the Gregorian Rule
is not a foolproof rule, after
all. Following this rule, the
Earth's season
will again get six months out of
whack once in 60,272 years. And to
correct this, another rule was
created.
You might as well call this 'the
Modern Rule'. According to this,
if the year is also divisible by
4000, it is
NOT a Leap Year. Therefore, two
thousand years from now in the
year 4000, there is not going to
be any
Leap Year Day. In that year,
February would end in 28 days. You
may ask: What this correction
would do
to the calendar? According to a
calculation, the Earth's season
would again get out of alignment
once in
every 3.5 million years (to be
exact 3 million 565 thousand and
426 years). A long time you might
say.
Now
that we are getting one extra day
in this millennium year, have you
considered how would you spend
the day? I wished the world would
celebrate this date by taking it
easy on this special day. We could
have
taken the day off pondering the
mathematical incongruity that was
imposed on us by Mother Nature.
Nonetheless, that won't be the
case. We now live in a very
competitive world, indeed. Just
the other day, I
was reading The Wall Street
Journal, the modern day
"Bible" of the world of
finance in the West. One
particular news item really caught
my attention. It read: "Leap
Day add $ 25.26 billion to the
domestic
product of USA this year."
LeapSource, a Phoenix outfit that
provides web-based finance and
accounting
back office services computed this
number. Reading this news item the
corporate America is probably
heaving a sigh of relief knowing
that an extra $ 25.26 billion
worth of goods and services would
be generated
this year due to an extra day that
was applied to this year's
calendar.
As
I was reading the Wall Street
Journal's snippet of news, I
Immediately juxtaposed the news to
what goes
on in an ordinary day in
impoverished Bangladesh. I doubt
it very much that any politician
in Bangladesh in
the right frame of his mind would
think about the contribution of
this year's Leap Year Day to the
GDP growth
of our anemic economy. Why do I
say this? Because most politicians
in Bangladesh, those who are not
elected to any public office,
would look at one day thinking --
could I call this day a hartal
day? They would
never think for a moment how much
growth would be impeded by the
curse of hartal. How many stomachs
would go hungry because of the
work stoppage! How many lives
would be lost due to hartal! How
many
school, college, and university
students would sit idle at home
not learning the skills that would
be necessary
for them to become productive
citizens of Bangladesh.
Four
years ago by checking the
Commonwealth Online website I
calculated that each day would add
about
U.S. $100 millions to the GDP of
Bangladesh. Therefore, if the
unscrupulous politicians of
Bangladesh would
not designate February 29, the
Leap Year Day, as a hartal day
then, Bangladesh's GDP would grow
by
another 100 million U.S. dollar.
For
the sake of the anemic economy of
Bangladesh let me hope that this
Leap Year Day goes unscathed
without having any hartals (by the
opposition parties) or counter
hartals (by the ruling party and
their alliance).
Let the Leap Year Day be a
violence free day.
Dr.
A.H. Jaffor Ullah is a senior
research scientist . |