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Science Fiction > Science > Re: When was Gr...
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Re: When was Gregorian calendar right?

by "Mike Dworetsky" <platinum198@[EMAIL PROTECTED] > May 1, 2008 at 05:53 PM

"Crown-Horned Snorkack" <chornedsnorkack@[EMAIL PROTECTED]
> wrote in message 
news:5b40436f-cb79-4966-807b-7b83b9eaacd8@[EMAIL PROTECTED]
>Well, when was it?
>
>The actual length of sideric day, and of tropical day, increases
>slowly, as tidal friction irreversibly slows down the rotation of
>Earth.

>The actual length of sideric year can change - the energy of Earth´s
>orbit may change as energy is exchanged between orbital movement of
>Earth and other planets. But those changes are said to be minor. The
>changes in tropical year are likewise minor.
>
>The result is that the number of tropical days in a tropical year
>decreases.
>
>Sometime in palaeozoic, tidal rhytmites allegedly show that there were
>400 days in a year.
>
>But the rate of tidal slowing is not constant. It changes with changes
>in the configuration of shelf seas and ocean basins. There would be
>major changes during ice ages, for example.
>
>The true duration of tropical year is around 365,2423 to 365,2424
>tropical days. Gregorian calendar requires 365,2425 days.
>
>The ***ulative error of Gregorian calendar through recent is thus less
>than two days.
>
>But how valid was Gregorian calendar in ice age?
>
>

The question is, in the everyday sense, meaningless, because the Gregorian

calendar is not used for years prior to 1582.  Not for any sensible
purpose, 
because the main event it was designed to regulate thenceforward--the date

of Easter--had already taken place in each of those previous years. 
(Later 
in England--Newton was born on Christmas Day in the Julian calendar, so we

still call that his birthday.)  Looking backwards for dates is what you
get 
using a "proleptic" calendar and usually the Julian calendar is used for 
this.

Aside from the removal of 10 days in 1582, the difference between  Julian 
and Gregorian is in the number of days in an average year: 365.25 or 
365.2425. So if you tried to decide the date in some very distant past
year 
(e.g., 10,000 BC) you would have to account for that difference, or about 
..75 d per century or 7.5 days per millennium.

Of course we also have a ***ulative error in the sense that the actual 
period length of a tropical year is 365.2422 days (to 4 decimals) so the 
Gregorian calendar itself will gradually need some reforms; a leap year
will 
have to be omitted, perhaps the year 4000.  I imagine the Catholic Church 
will give thought to this in about 1700 years or so. (Could be an 
interesting SciFi story theme?).  The error ac***ulated is about 1 day
every 
3300 years rather than 4000 years, so in the very far future a further 
reform might be needed.

The effect of changes in the rotation of the Earth would be smaller but 
would ac***ulate more rapidly as you went back in time.  The figure for c.

2000 years ago is of the order of three hours error.  See:

http://www.blackwell-synergy.com/doi/pdf/10.1046/j.1468-4004.2003.44222.x

It is difficult to extrapolate rotational rates back accurately over many 
millennia because more than tidal effects are involved.

Astronomers use something called the Julian Day number which is a running 
count.  The Julian period starts on 1 January 4713 BC (Julian calendar)
and 
lasts for 7980 years.  It starts on the day when the Roman Indiction,
Golden 
Number, and Solar number all had a value of 1.  This allows them to avoid 
having to use dates in one calendar or another for calculated events in
the 
distant past (like eclipses).  For accurate timings they of course have to

use a dynamical time scale independent of variations of Earth rotation. 
When they define somenthing to be measured in years they usually use a
unit 
of Julian years of 365.25 days, e.g., if discussing the period of a visual

binary star, or the orbit of the Sun around the galaxy.

-- 
Mike Dworetsky

(Remove pants sp*mbl*ck to reply)
 




 15 Posts in Topic:
When was Gregorian calendar right?
Crown-Horned Snorkack <  2008-05-01 01:05:44 
Re: When was Gregorian calendar right?
oriel36 <kelleher.gera  2008-05-01 02:51:04 
Re: When was Gregorian calendar right?
"Androcles" <  2008-05-01 13:03:34 
Re: When was Gregorian calendar right?
Crown-Horned Snorkack <  2008-05-01 05:46:07 
Re: When was Gregorian calendar right?
"Androcles" <  2008-05-01 15:06:59 
Re: When was Gregorian calendar right?
"Mike Dworetsky"  2008-05-01 17:53:03 
Re: When was Gregorian calendar right?
Leonard Erickson <shad  2008-05-01 22:44:46 
Re: When was Gregorian calendar right?
"Mike Dworetsky"  2008-05-02 07:43:51 
Re: When was Gregorian calendar right?
Crown-Horned Snorkack <  2008-05-01 11:06:42 
Re: When was Gregorian calendar right?
"Mike Dworetsky"  2008-05-01 22:35:00 
Re: When was Gregorian calendar right?
Dr J R Stockton <jrs@[  2008-05-01 20:35:55 
Re: When was Gregorian calendar right?
Crown-Horned Snorkack <  2008-05-02 09:33:43 
Re: When was Gregorian calendar right?
oriel36 <kelleher.gera  2008-05-02 10:52:01 
Re: When was Gregorian calendar right?
"rick++" <ri  2008-05-02 10:53:12 
Re: When was Gregorian calendar right?
"Androcles" <  2008-05-02 19:11:47 

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