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2004/12/25 | 复活节满月[Paschal Full Moon]
类别(¤〖天文〗)
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发表于 13:37
The
full moon
used to calculate the date of
Easter
. This
full moon
does not correspond to any astronomical event, but is a historical artifact determined from tables. An algorithm due to J. H. Conway which is valid for years Y between 1900 and 2200 calculates the Paschal full moon as
(1)
where
denotes a
congruence
, i.e., the remainder when
n
is divided by
m
, and
(2)
is the
golden number
, except that when this gives April 19, it is changed to April 18, and when it gives April 18 and
, then it is changed to April 17. The following table gives the dates of the Paschal full moons for 1980-2009.
<DIV ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1"> <TR><TD ALIGN="RIGHT">1980</TD> <TD ALIGN="LEFT">March 31</TD> <TD ALIGN="RIGHT">1990</TD> <TD ALIGN="LEFT">April 10</TD> <TD ALIGN="RIGHT">2000</TD> <TD ALIGN="LEFT">April 18</TD> </TR> <TR><TD ALIGN="RIGHT">1981</TD> <TD ALIGN="LEFT">April 18</TD> <TD ALIGN="RIGHT">1991</TD> <TD ALIGN="LEFT">March 30</TD> <TD ALIGN="RIGHT">2001</TD> <TD ALIGN="LEFT">April 8</TD> </TR> <TR><TD ALIGN="RIGHT">1982</TD> <TD ALIGN="LEFT">April 8</TD> <TD ALIGN="RIGHT">1992</TD> <TD ALIGN="LEFT">April 17</TD> <TD ALIGN="RIGHT">2002</TD> <TD ALIGN="LEFT">March 28</TD> </TR> <TR><TD ALIGN="RIGHT">1983</TD> <TD ALIGN="LEFT">March 28</TD> <TD ALIGN="RIGHT">1993</TD> <TD ALIGN="LEFT">April 7</TD> <TD ALIGN="RIGHT">2003</TD> <TD ALIGN="LEFT">April 16</TD> </TR> <TR><TD ALIGN="RIGHT">1984</TD> <TD ALIGN="LEFT">April 16</TD> <TD ALIGN="RIGHT">1994</TD> <TD ALIGN="LEFT">March 27</TD> <TD ALIGN="RIGHT">2004</TD> <TD ALIGN="LEFT">April 5</TD> </TR> <TR><TD ALIGN="RIGHT">1985</TD> <TD ALIGN="LEFT">April 5</TD> <TD ALIGN="RIGHT">1995</TD> <TD ALIGN="LEFT">April 14</TD> <TD ALIGN="RIGHT">2005</TD> <TD ALIGN="LEFT">March 25</TD> </TR> <TR><TD ALIGN="RIGHT">1986</TD> <TD ALIGN="LEFT">March 25</TD> <TD ALIGN="RIGHT">1996</TD> <TD ALIGN="LEFT">April 3</TD> <TD ALIGN="RIGHT">2006</TD> <TD ALIGN="LEFT">April 13</TD> </TR> <TR><TD ALIGN="RIGHT">1987</TD> <TD ALIGN="LEFT">April 13</TD> <TD ALIGN="RIGHT">1997</TD> <TD ALIGN="LEFT">March 23</TD> <TD ALIGN="RIGHT">2007</TD> <TD ALIGN="LEFT">April 2</TD> </TR> <TR><TD ALIGN="RIGHT">1988</TD> <TD ALIGN="LEFT">April 2</TD> <TD ALIGN="RIGHT">1998</TD> <TD ALIGN="LEFT">April 11</TD> <TD ALIGN="RIGHT">2008</TD> <TD ALIGN="LEFT">March 22</TD> </TR> <TR><TD ALIGN="RIGHT">1989</TD> <TD ALIGN="LEFT">March 22</TD> <TD ALIGN="RIGHT">1999</TD> <TD ALIGN="LEFT">March 31</TD> <TD ALIGN="RIGHT">2009</TD> <TD ALIGN="LEFT">April 10</TD> </TR> </TABLE> </DIV>
[Ctrl+A 全部选择 提示:你可先修改部分代码,再按运行]
A modification of (1) to
(3)
where
is the
floor function
and
(4)
extends the range of valid years from
to
in the
Gregorian calendar
.
For the
Julian calendar
, the correct equation is
(5)
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