Moon Phase Reckoner

[235 arcsine 1/[2*19]]/12=29d 12h 44m 25s 

765433/25920=29d 12h 44m 33s

To calculate lunar phase dates for a given Longitude

Example, on 14th  [d] April [m], 2010 [Y] the Moon is in Syzygy, in the Gregorian calendar.

Y modulo 100=R

R modulo 19=r

If r is greater than 9, r=N; If not, r-19=N

11N modulo [1447/49] = T,

[Y-R] modulo 19+3=s; if s=3, s=4

T-s+d+m = t;

 Determine the Moon phase from the resulting number (P) using the following phases & event calculations.

: t + ⅔ + Longitude/15= New Moon Phase.

The Crescent is not visible for fifteen to sixteen hours before & after

 the Syzygy: ⅔ of a day either side. If sunset be very close to that time, the Crescent will not be visible until the Sun is 5 degrees below the Horizon.

Calculate for a Syzygy (NM) as 0, New Moon as ⅔; & a Full Moon (FM) as 59/4. The other phases are multiples of 59/16.

[ax+by]/[x+y]

Hypothetical Analysis of the Wayfinder Technique

Any Vector that is transverse or parallel to the Plane of Rotation will pivot to align with the Axis of Rotation, whereas any Vector that is parallel with the Axis of Rotation, or Meridian, will pivot to align with the Plane of Rotation, or Latitude.  

http://www.youtube.com/watch?v=mMzLkrDXOaM

The Easter Paradigm: How to tell if there be a dullard in the works.

"Still, Easter isn't celebrated universally on that date. While Western Christians use the Gregorian calendar (the calendar that's used throughout the West today, in both the secular and religious worlds) to calculate the date of Easter, the Eastern Orthodox continue to use the older, astronomically inaccurate Julian calendar. Currently, March 21 on the Julian calendar falls on April 3 in the Gregorian calendar. Therefore, for the Orthodox, the Sunday following the 14th day of the paschal full moon has to fall after April 3, hence the discrepancy in the date of Easter."   
As if the 3rd of April, Julian, 2013 be not the same day as  the 21st of March, Gregorian, 2013? 
Let us look at this: Julian: 3+7+5+6+3= 24 mod 7= 3; Tuesday  Gregorian: 7+3+6+6+3=25 mod 7=4;  Wednesday; so, why the difference, when there is one? The difference can be None, one week, four weeks, or five weeks. Apparently, some folk cannot count, so they say stupid things as quoted above. The official wording, from the Nicaean Council in the fifth century goes; "on the Sunday after the fourteenth day of the Moon after the Vernal Equinox".  Simple: too simple, for it is unclear, unclear about  'the Moon after the Equinox'.  The Roman notion of March having been the lunar month that held the equinox, as it was in the pre-Julian Calendar, as against the Babylonian version, that had Nisan starting after the equinox. Nisan translates as April in the the Solar calendars, not March. This is the format used by the British Church and all non-Roman Rites, with one other change, introduced later; that Holy Thursday falls on or after the fourteenth day of the Moon, which explains the case of one week or five weeks  difference. The two coincide when the fourteenth day of the Moon is more than fourteen days after the equinox. Meanwhile, very clever folk still tell us that these differences have a single cause: the presently thirteen days difference in the dates on the two calendars. Curiosity Investigates,  dullards simply follow without question. This matter underlines the inability of many to grasp reality, for to imagine that the Julian date is, somehow, the Gregorian date, but later, [ it is earlier] is as dim-witted as forgetting that zero is an absence of number,  whilst confusing Cardinal with Ordinal, when it comes to years [ they are Ordinal]. Yes, these folk hold down highly-paid jobs, they rise to positions of power & influence, yet they are dullards. SO, do not be surprised that the world as we know it is on its last legs, for it has been staggering like a drunkard for a long time, losing all sense of proportion.