What day of the week is Jan 1st 1,000,000AD ?

Unfortunately, The Earth's rotation is slowing down, and I am afraid it
might not slow down evenly.
This means it will be very tricky to work out the number of days in a year
in the distant future
http://www.gsfc.nasa.gov/topstory/2003/0210rotation.html
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anthonyberet said:

That still makes no difference to the basic calculation of 7 days in a week.
It won't matter if there are 360 or 500 days in a year, there are only 7 days in
a week.
The question was to find out the weekday.

 

1,000,000 x 365 days, plus 250,000 days, minus 365 days, divide the
total

Did you remember to include leap centuries (the next one being, for example,
2400, but not 2100, 2200 or 2300)? And since we're going that far ahead and
we all know that the leap year system doesn't completely address the
rotational differential, you have to consider a leap millennium...

 

Trent C said:

Aren't the details of what I used to calculate clear enough?

 

I went here... http://www.geocities.com/eu84/frtop_files/calendar.htm
and got a Saturday for the Gregorian calendar and Sunday for the Julian
calendar.

 

1,000,000 x 365 days, plus 250,000 days, minus 365 days, divide the
total

I didn't see any allowance for leap centuries in your calculation.

 

Trent C said:

Maybe that's because I didn't allow for them.
I used what you can see I used.

 

1,000,000 x 365 days, plus 250,000 days, minus 365 days, divide
the

My other comments about leap millennia was conjectural, but leap centuries
are not.

I suggest, therefore, that your formula is incorrect.

 

Trent C said:

Which formula would that be? Dividing whatever number you come up with by 7?
Seeing as you are so bright, why don't you come up with some figures of your own
that show the correct "result".
There is nothing wrong with the "formula", only my "result" is incorrect, as I
have omitted some "data".

 

Ralph Mann wrote:

er.. yes but how many weeks will be in each of the years between now and the
year 1,000,000?
You need to find out how many days will pass in order to work out the number
of full weeks and any additional days to find the weekday.

Without the total number of days and weeks, you can't do it.
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You used incorrect data as well
The number of days that will elapse between now and 1,000,000 AD is probably
not 365,249,635 days.
The number of days (or weeks) is unknowable, as the Earth's rotation is
slowing down unevenly.
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But you use the number of days per year to get to the weekday so that
does matter.

 

Cornelius: As you wish, you big doo-doo head.

-- Escape From the City of the Apes

 

Giovanni said:

No, you use the total number of days elapsed.
It doesn't matter how many days in a month, or in a year, it's the total number
of days that count.
But the bottom line is, no matter what the amount, the formula used to work out
the week day is * divide by 7*

 

Liz said:

Er...excuse me, but I don't see anybody else coming up with precise
figures/calculations to give the answer to the question.
Actually, I don't see anybody else coming up with *any* figures/calculations.

 

There is nothing wrong with the "formula"...

figures/calculations.

Ralph, that no one else comes up with a formula doesn't mean that yours is,
by default, correct. And our not having created one doesn't stop us from
observing a gap in the one which you have put together (and put together
better than any attempt I might make, by the way, albeit incomplete).

Don't take it personally - this isn't a challenge to you personally, rather
part of the iterative process which will get to a complete formula.

 

Trent C said:

It is too easy to tell someone they are wrong and not bother to give an example.

I calculated on the basis of a 365 day year, and a leap year of every 4 years.
There is nothing *wrong* with that.

Ok, I will take it that extra step.
1,000,000 x 365 = 365,000,000
1,000,000 x 0.25 = 250,000 (number of leap years)
1,000,000 x 0.0025 = 2500 (number of leap centuries)
minus 366 to bring the total forward from Dec 31 to Jan 1

= 52178876.285714

Answer = Tuesday.

 

There is nothing wrong with the "formula"...

Without commenting on the formula, I wonder if it might not be smarter to
start from a known point. For example, we know that January 1st 2000 was a
Saturday, so...

1,000,000 years less 2,000 is 998,000 years.
Multiply by 365 days = 364,270,000
Less leap years (249,500) = 364,020,500
Plus those pesky leap centuries (29,940) = 364,050,440

.... should take us to December 31st 999,999. If we then divide the sum by 7
we get 52,007,05.71, which by Ralph's excellent previous work suggests a
Friday.

Having said that, I'd be extremely grateful if someone could check my
workings and make sure I haven't made some dreadful error.

 

Trent C said:

29,940 leap centuries ?
There are only 25,000 leap centuries in the full 1,000,000 years.

 

Zira: Cornelius, why do you insist on provoking him?

Cornelius: No creature can survive in the Forbidden Zone.
I know, I've been there, I've seen it!

http://www.worldoflongmire.com/features/apes/planet5/planet5.html