Saturn takes 29.447498 years to orbit the Sun. We can expect some kind of conjunction of Saturn with Regulus every 29 ½ years. Each conjunction is part of a very long series, with 59 years between conjunctions. The series starts and ends with single conjunctions, at least one of which happens too close to the Sun to ever be seen. Two of these series run in parallel, offset from each other by half of 59, or 29 ½ years. Each series includes 10 to 13 conjunctions, or about 12 on the average, making a gradual transition from single to double to triple and back again. A 12-conjunction series includes 4-5 triples in the middle, and takes 707 years to complete. On the average, for triple conjunctions of Saturn with Regulus, there’s about one every 79-80 years.
For Saturn we find the very interesting potential for its cycles to mark out periods of 3 Jubilees in length. Saturn’s pattern is made up of two 59-year cycles offset from each other by 29 or 30 years. So two triples of Saturn in the opposing series’ can be offset from each other by 59 + 29 + 59 = 147 years, which is 3 x 49 years, or three Jubilee cycles.
Also if the Sabbath year at the end of one Jubilee cycle is marked by a triple conjunction of Saturn with Regulus, the Jubilee year that comes six Jubilees cycles plus one year later can be marked by a triple conjunction of Saturn with Regulus. And similarly the Jubilee year that comes nine Jubilee cycles plus one year later can be marked by a triple conjunction of Saturn with Regulus.
Just in general terms none of these are sure things, because Saturn’s cycle permits some variation in where the triples fall – but it’s possible for the triples to be arranged in these ways. My suspicion is that when we see these variations in precisely where Saturn’s triples fall, what we’re seeing is the influence of the invisible planets – perhaps primarily the planet Uranus – using their pull to slow down or speed up Saturn’s progress and create these subtle shifts in its patterns.
When we zoom out to get a bigger picture of the marking of Jubilee years by conjunctions of Saturn with Regulus, the general pattern found is that at some point there is a span of 15 Jubilees (735 years) during which Saturn’s triple and double conjunctions coincide with the boundaries between the Jubilee periods. Saturn’s conjunctions divide these 15 Jubilees into five 3-Jubilee periods of 147 years each. First two or three of the 147-year periods are marked in their final Sabbath year, usually followed by a gap, after which two or three of the 147-year periods are marked in their first year, the Jubilee year.
Note that exactly which 15 Jubilees are marked out in this way depends on how exactly the Jubilee cycle has been tied to our historical timeline. There are 49 possible ways to tie down a 49-year cycle. One important study will be to determine where to place this Jubilee cycle, based on both historical and astronomical evidence.
Once the marking of 15 Jubilees is finished, it doesn’t happen again for a very long time. Not until a period of 4,949 years, or 101 Jubilees, has passed does the pattern repeat. Here’s a summary of mathematical correlations between Saturn and a 49-year Jubilee cycle:
Orbit: 29.447498 yrs (or 29.458 yrs)
1x Cycle: 29 ½ yrs
5x Cycle: (2 x 59) +29 = 147 yrs = 3 Jubilees
10x Cycle: (5 x 59) = 295 yrs = 6 Jubilees + 1
15x Cycle: (7 x 59) + 29 = 442 yrs = 9 Jubilees + 1
35x Cycle: (16 x 59) + (3 x 29) = 1031 yrs = 21 Jubilees + 2
168x Cycle: 4949 years = 101 Jubilees
840x Cycle: 24,745 years = 505 Jubilees
Note that in general the numbers for the lengths of orbits have been taken from http://solarsystem.nasa.gov/planetinfo/charchart.cfm, and for most of the planets these numbers are consistent with our Solex data. But in the above summary for Saturn, after the orbit length provided by NASA is shown a second number in parentheses. This second number is more consistent with the data in general. I believe the reason for the discrepancy is the issue mentioned above, that there are very long-period variations in Saturn’s rate of travel due to the effect of the unseen outer planet Uranus. The NASA data may have been computed over a period which, though it worked fine for the other visible planets with shorter orbit times, for Saturn it happened to capture just a portion of time in which it was moving more rapidly. The number in parentheses works better with our data, being a longer-term average of the orbit time.