Enhancements of the Easter Algorithms (1940)

Charles Edward Ng’hwaya Masule

doi:doi:10.11648/j.ajam.20150306.21

| Peer-Reviewed

Enhancements of the Easter Algorithms (1940)

Charles Edward Ng’hwaya Masule

Published in American Journal of Applied Mathematics (Volume 3, Issue 6)

Received: 17 August 2015 Accepted: 8 September 2015 Published: 25 December 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algorithm [1] to enable the pulling of the date of Easter one day back such that the occurrence of Easter on a full moon is possible. This will mean that: since the lunar month is 29.5 days long [3], the age of a full moon is 14.75 days and that: since the age of a full moon in the Easter algorithm is taken to be 15 days, it makes sense to pull the date of Easter a day back if the 15th day of a new moon falls on a Monday because – algorithmically - 6 hours of the full moon fall on the Sunday.

Published in	American Journal of Applied Mathematics (Volume 3, Issue 6)
DOI	10.11648/j.ajam.20150306.21
Page(s)	312-320
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Easter Algorithm, Gregorian Calendar, Gauss Easter Algorithm, Metonic Cycle, Lunisolar Events, Sidereal Solar Event

References

[1]	Seidelmann, P. K. (ed.): Explanatory Supplement to the Astronomical Almanac, Chapter 12, "Calendars", by L. E. Doggett, ISBN 0-935702-68-7, (University Science Books, CA, 1992)
[2]	Perry, R.H. and Green, D.W.: Perry's Chemical Engineers' Handbook, 8^th Edition, (McGraw-Hill, 2007)
[3]	Meeus J.: Astronmical Algorithms, 2^nd Edition, (Willmann-Bell, 1999)
[4]	NASA Computational Case Study: Where Is My Moon? Comput. Sci. Eng. 16, 92 (2014)
[5]	Oostra, B.: Introducing the Moon's Orbital Eccentricity, Phys. Teach. 52, 460 (2014)
[6]	Noordeh, E., Hall, P. and Cuk, M.: Simulating the Phases of the Moon Shortly After Its Formation, Phys. Teach. 52, 39 (2014)
[7]	Bates, A.: Galilean Moons, Kepler's Third Law, and the Mass of Jupiter, Phys. Teach. 51, 428 (2013)
[8]	Eisenstaedt, J.: From Newton to Einstein: A forgotten relativistic optics of moving bodies, Am. J. Phys. 75, 741 (2007)
[9]	McCall, M.: Gravitational orbits in one dimension, Am. J. Phys. 74, 1115 (2006)
[10]	Hussain, Z.: On Newton's Law of Attractions, Am. J. Phys. 19, 146 (1951).

Cite This Article

Plain Text BibTeX RIS

APA Style

Charles Edward Ng’hwaya Masule. (2015). Enhancements of the Easter Algorithms (1940). American Journal of Applied Mathematics, 3(6), 312-320. https://doi.org/10.11648/j.ajam.20150306.21

Copy | Download

ACS Style

Charles Edward Ng’hwaya Masule. Enhancements of the Easter Algorithms (1940). Am. J. Appl. Math. 2015, 3(6), 312-320. doi: 10.11648/j.ajam.20150306.21

Copy | Download

AMA Style

Charles Edward Ng’hwaya Masule. Enhancements of the Easter Algorithms (1940). Am J Appl Math. 2015;3(6):312-320. doi: 10.11648/j.ajam.20150306.21

Copy | Download

@article{10.11648/j.ajam.20150306.21,
  author = {Charles Edward Ng’hwaya Masule},
  title = {Enhancements of the Easter Algorithms (1940)},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {6},
  pages = {312-320},
  doi = {10.11648/j.ajam.20150306.21},
  url = {https://doi.org/10.11648/j.ajam.20150306.21},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150306.21},
  abstract = {Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algorithm [1] to enable the pulling of the date of Easter one day back such that the occurrence of Easter on a full moon is possible. This will mean that: since the lunar month is 29.5 days long [3], the age of a full moon is 14.75 days and that: since the age of a full moon in the Easter algorithm is taken to be 15 days, it makes sense to pull the date of Easter a day back if the 15th day of a new moon falls on a Monday because – algorithmically - 6 hours of the full moon fall on the Sunday.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Enhancements of the Easter Algorithms (1940)
AU  - Charles Edward Ng’hwaya Masule
Y1  - 2015/12/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150306.21
DO  - 10.11648/j.ajam.20150306.21
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 312
EP  - 320
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150306.21
AB  - Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algorithm [1] to enable the pulling of the date of Easter one day back such that the occurrence of Easter on a full moon is possible. This will mean that: since the lunar month is 29.5 days long [3], the age of a full moon is 14.75 days and that: since the age of a full moon in the Easter algorithm is taken to be 15 days, it makes sense to pull the date of Easter a day back if the 15th day of a new moon falls on a Monday because – algorithmically - 6 hours of the full moon fall on the Sunday.
VL  - 3
IS  - 6
ER  -

Copy | Download

Author Information

Charles Edward Ng’hwaya Masule

Institute of Mechanical Engineering, Mechanical Process Engineering and Environmental Technology, Dresden University of Technology, Dresden, Germany

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Charles Edward Ng’hwaya Masule. (2015). Enhancements of the Easter Algorithms (1940). American Journal of Applied Mathematics, 3(6), 312-320. https://doi.org/10.11648/j.ajam.20150306.21

Copy | Download

ACS Style

Charles Edward Ng’hwaya Masule. Enhancements of the Easter Algorithms (1940). Am. J. Appl. Math. 2015, 3(6), 312-320. doi: 10.11648/j.ajam.20150306.21

Copy | Download

AMA Style

Charles Edward Ng’hwaya Masule. Enhancements of the Easter Algorithms (1940). Am J Appl Math. 2015;3(6):312-320. doi: 10.11648/j.ajam.20150306.21

Copy | Download

@article{10.11648/j.ajam.20150306.21,
  author = {Charles Edward Ng’hwaya Masule},
  title = {Enhancements of the Easter Algorithms (1940)},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {6},
  pages = {312-320},
  doi = {10.11648/j.ajam.20150306.21},
  url = {https://doi.org/10.11648/j.ajam.20150306.21},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150306.21},
  abstract = {Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algorithm [1] to enable the pulling of the date of Easter one day back such that the occurrence of Easter on a full moon is possible. This will mean that: since the lunar month is 29.5 days long [3], the age of a full moon is 14.75 days and that: since the age of a full moon in the Easter algorithm is taken to be 15 days, it makes sense to pull the date of Easter a day back if the 15th day of a new moon falls on a Monday because – algorithmically - 6 hours of the full moon fall on the Sunday.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Enhancements of the Easter Algorithms (1940)
AU  - Charles Edward Ng’hwaya Masule
Y1  - 2015/12/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150306.21
DO  - 10.11648/j.ajam.20150306.21
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 312
EP  - 320
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150306.21
AB  - Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algorithm [1] to enable the pulling of the date of Easter one day back such that the occurrence of Easter on a full moon is possible. This will mean that: since the lunar month is 29.5 days long [3], the age of a full moon is 14.75 days and that: since the age of a full moon in the Easter algorithm is taken to be 15 days, it makes sense to pull the date of Easter a day back if the 15th day of a new moon falls on a Monday because – algorithmically - 6 hours of the full moon fall on the Sunday.
VL  - 3
IS  - 6
ER  -

Copy | Download