Here are dates that could be put into a table.
The following are dates of Easter from 1980 to 2024:
1980 April 6 1995 April 16 2010 April 4
1981 April 19 1996 April 7 2011 April 24
1982 April 11 1997 March 30 2012 April 8
1983 April 3 1998 April 12 2013 March 31
1984 April 22 1999 April 4 2014 April 20
1985 April 7 2000 April 23 2015 April 5
1986 March 30 2001 April 15 2016 March 27
1987 April 19 2002 March 31 2017 April 16
1988 April 3 2003 April 20 2018 April 1
1989 March 26 2004 April 11 2019 April 21
1990 April 15 2005 March 27 2020 April 12
1991 March 31 2006 April 16 2021 April 4
1992 April 19 2007 April 8 2022 April 17
1993 April 11 2008 March 23 2023 April 9
1994 April 3 2009 April 12 2024 March 31
Here's the formula. It's a SMOP (simple matter of programming).
Computing the Date of Easter
The rule is that Easter is the first Sunday after the first
ecclesiastical full moon that occurs on or after March 21. The lunar
cycles used by the ecclesiastical system are simple to program. The
following algorithm will compute the date of Easter in the Gregorian
Calendar system.
Please note the following: *This is an _integer_ calculation. All
variables are integers and all remainders from division are dropped.*
The algorithm uses the year, /y/, to give the month, /m/, and day, /d/,
of Easter. The symbol * means multiply.
c = y / 100
n = y - 19 * ( y / 19 )
k = ( c - 17 ) / 25
i = c - c / 4 - ( c - k ) / 3 + 19 * n + 15
i = i - 30 * ( i / 30 )
i = i - ( i / 28 ) * ( 1 - ( i / 28 ) * ( 29 / ( i + 1 ) )
* ( ( 21 - n ) / 11 ) )
j = y + y / 4 + i + 2 - c + c / 4
j = j - 7 * ( j / 7 )
l = i - j
m = 3 + ( l + 40 ) / 44
d = l + 28 - 31 * ( m / 4 )
For example, using the year 2010,
y=2010,
c=2010/100=20,
n=2010 - 19 x (2010/19) = 15,
etc. resulting in Easter on April 4, 2010.
The algorithm is due to J.-M. Oudin (1940) and is reprinted in the
Explanatory Supplement to the Astronomical Almanac
<http://aa.usno.navy.mil/publications/docs/related.html#expsup>, ed. P.
K. Seidelmann (1992). See Chapter 12, "Calendars"
<http://astro.nmsu.edu/%7Elhuber/leaphist.html>, by L. E. Doggett.
Jim
On 12/29/2010 8:42 AM, Buettner, Wolfgang wrote:
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We have some services which should be up during normal working hours
only, i.e. not on weekends and not on public holidays either.
Could be done by WAKEUP, but ...
How to code movable feasts like Easter Monday and others depending on
the first full moon in spring?
I know the formula is complex, so I believe it would be very much
simpler to get those dates from an actual calendar and hard-code them
each year than to write a REXX.
Any other ideas?
Thank you and a Happy New Year,
Wolfgang
Software AG - Group Executive Board: Karl-Heinz Streibich (Vorsitzender/Chai=
rman), Arnd Zinnhardt, Mark Edwards, David Broadbent, Josef Bommersbach, Dr.=
Wolfram Jost, Kamyar Niroumand, Ivo Totev
Sitz/Registered office: Uhlandstra?e 12, 64297 Darmstadt, Germany, - Registe=
rgericht/Commercial register: Darmstadt HRB 1562 - Vorstand/ Management Boar=
d: Karl-Heinz Streibich (Vorsitzender/Chairman), David Broadbent, Dr. Wolfra=
m Jost, Arnd Zinnhardt; - Aufsichtsratsvorsitzender/ Chairman of the Supervi=
sory Board: Dr. Andreas Bereczky - http://www.softwareag.com/
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<DIV><FONT face=3DArial size=3D2><SPAN class=3D729260409-01122010>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-GB">We have s=
ome services which should be up during normal working hours
only, i.e. not on weekends and not on public holidays either.</SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-GB"></SPAN><S=
PAN lang=3DEN-GB style=3D"mso-ansi-language: EN-GB"><?xml:namespace prefix =
=3D o ns =3D
"urn:schemas-microsoft-com:office:office" /><o:p><SPAN class=3D729260409-011=
22010>Could be done by WAKEUP, but
=2E.. </SPAN></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-GB">How to co=
de movable feasts like Easter Monday and others
depending on the first full moon in spring?</SPAN><SPAN lang=3DEN-GB style=
=3D"mso-ansi-language: EN-GB"><o:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-GB">I know th=
e formula is complex, so<SPAN class=3D729260409-01122010> I
believe</SPAN> it would be very much simpler to <SPAN class=3D7292=
60409-01122010>get</SPAN>those dates<SPAN class=3D729260409-01122010>
from an actual calendar and hard-code them</SPAN> each year than to wri=
te a
REXX.</SPAN><SPAN lang=3DEN-GB style=3D"mso-ansi-language: EN-GB"><o:p></o:p=
</SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-US style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-US">Any other=
ideas? </SPAN><SPAN lang=3DEN-GB style=3D"mso-ansi-language: EN-GB"><o=
:p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
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<o:p></o:p></FONT></FONT></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-GB style=
=3D"FONT-FAMILY: Arial; FONT-SIZE: 10pt; mso-ansi-language: EN-GB">Thank you=
<SPAN class=3D729260409-01122010> and a Happy New
Year</SPAN>,</SPAN><SPAN lang=3DEN-GB style=3D"mso-ansi-language: EN-GB"><o:=
p></o:p></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DES style=3D"=
FONT-FAMILY: Arial; FONT-SIZE: 10pt">Wolfgang</SPAN><SPAN lang=3DES><o:p></o=
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Software AG– Group Executive Board: Karl-Heinz Streibich (Vorsitzende=
r/Chairman), Arnd Zinnhardt, Mark Edwards, David Broadbent, Josef Bommersbac=
h, Dr. Wolfram Jost, Kamyar Niroumand, Ivo Totev<BR><BR>
Sitz/Registered office: Uhlandstraße 12, 64297 Darmstadt, Germany,R=
11; Registergericht/Commercial register: Darmstadt HRB 1562 - Vorstand/ Mana=
gement Board: Karl-Heinz Streibich (Vorsitzender/Chairman), David Broadbent,=
Dr. Wolfram Jost, Arnd Zinnhardt; - Aufsichtsratsvorsitzender/ Chairman of =
the Supervisory Board: Dr. Andreas Bereczky</SPAN>-</FONT></FONT></FONT>=
<A HREF=3D"http://www.softwareag.com/"><FONT COLOR=3D"gray"><FONT FACE=3D"Tr=
ebuchet MS"><FONT SIZE=3D"1"><FONT COLOR=3D"navy"><STRONG>http://www.softwar=
eag.com</STRONG></FONT> </FONT></FONT></FONT></A></SPAN></DIV></TD></TR></TB=
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