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Enhancements of the Easter Algorithms (1940)

Received: 17 August 2015     Accepted: 8 September 2015     Published: 25 December 2015
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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, 8th Edition, (McGraw-Hill, 2007)
[3] Meeus J.: Astronmical Algorithms, 2nd 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
  • 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

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    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

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    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

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  • @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}
    }
    

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    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.
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Author Information
  • Institute of Mechanical Engineering, Mechanical Process Engineering and Environmental Technology, Dresden University of Technology, Dresden, Germany

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