Why Phi? – a Venus transit cycle model

NASA: 2004 AND 2012 TRANSITS OF VENUS – Introduction says:
‘Transits of Venus across the disk of the Sun are among the rarest of planetary alignments. Indeed, only six such events have occurred since the invention of the telescope (1631, 1639, 1761, 1769, 1874 and 1882). The next two transits of Venus will occur on 2004 June 08 and 2012 June 06.’

Obviously there are three pairs of transits (eight years apart per pair) shown in the brackets, plus the fourth pair that occurred in 2004 and 2012. The model we use here is structured as per this graphic:

This is where it gets a little bit tricky perhaps.

The proposal is that there are overlapping Venus-Earth planetary cycles of 251 years (157 synods), each starting and finishing with a pair of Venus transits, such that the finishing transit pair of one cycle is also the starting transit pair of the next cycle, each ~8 year period corresponding to 5 Venus-Earth synodic conjunctions – often referred to as the Venus-Earth pentagram. So where we have 8-235-8, each ‘8’ would start and end with a Venus transit (except when Venus passed too low or too high to appear in front of the Sun).

In support of this we have the evidence of NASA’s own data, although they don’t identify a 251-year period specifically, preferring the ‘traditional’ 243 year cycle – see the numeric ‘Transit Series’ column in the transit data listings here:
SIX MILLENNIUM CATALOG OF VENUS TRANSITS: 2000 BCE TO 4000 CE

Now let’s look at an edited copy of the ‘2001 CE to 4000 CE’ part of that data.

All the red highlights each link together the two lines of data where the transits are 251 years apart. Ignoring the Transit Series numbers, note that for every pair highlighted the GST(h) column figures are close to an exact match (e.g. 2004 = 17.137, 2255 = 17.141 and 3705 = 18.182, 3956 = 18.184). ‘Sun RA’ and ‘Sun Dec’ for each 251-year pair are also very close.
GST = Greenwich Sidereal Time at 00:00 UT (Universal Time)
Example: a difference of 0.002 hours = 7.2 seconds (as between 3705 and 3956).

The point is that this close matching is LESS true for all the 243-year pairs (the ones with matching Transit Series numbers).
That seems to mean the 157-synod period of 251 years must be closer to an exact cycle than the 152-synod period of 243 years.

Therefore this synodic chart is proposed as the model:

Note: 13, 21 and 34 are Fibonacci numbers.
[V-E = Venus-Earth conjunctions i.e. alignments with the Sun]
NB: in the Transits of Venus graphic shown above, after the ‘gap line’, there are ‘missing’ transits because in that era there will be several times when Venus does not pass in front of the Sun (transit) as viewed from Earth on the expected date (too low or too high).

So in this model one year is ‘lost’ every 251 years, causing the ‘-1′ figures to appear. This lost year is an accumulation of the 2.32+/- days not taken up in each so-called 8-year cycle of each group of 5 Venus-Earth synods that produce the pentagram.

Each 251-year cycle in this model starts 8 years or 5 Venus-Earth synods before the previous cycle ends, i.e. there’s an overlap as shown in the ‘8-235-8′ graphic above.
Examples from the Transits of Venus graphic above:
2004-2255 is followed by 2247-2498, while 2117-2368 is followed by 2360-2611.
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Footnote: there may be implications for planetary theory e.g. precession buried in this, but for now we’ll try to accept the published numbers. Those who look closely enough may see one or two potential inconsistencies.
NASA’s own planetary data is here.