Signs and Seasons, Days and Years

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Venus

Venus takes 0.61519726 year to orbit the Sun. Though a triple conjunction of Venus with Regulus is possible, it’s not common. The primary significance of the conjunctions of Venus with Regulus seems to be in its single conjunctions, with a span of almost precisely 8 years from one occurrence to the next in the series. If we limit our attention to conjunctions of about 0.625 degree or less, we generally find two such series’ running in parallel at any given time – the conjunctions of one gradually getting closer, while the conjunctions of the other are getting farther apart. In all, there are 8 of these 8-year cycles, offset from each other by a year – but in a given 8-year period only two of these pass within 0.625 degrees of Regulus. Tracing out one of these series’, from the point where its conjunctions first reach a separation of less than 0.625 degree to the point where they return to a separation of greater than 0.625 degree, we find about 60 occurrences, each separated by 8 years from the previous occurrence, and covering a time span of 472 years. Somewhere in the middle of the time span we find a zero point where the conjunctions are at their very closest.

As we step through the series 8 years at a time, there’s just a gradual shift in the closeness of the conjunction at each occurrence, in the timing of the conjunction with respect to the solar year (shifting by just a fraction of a day at each occurrence), and in the timing of the conjunction with respect to the lunar year (occurring 1-3 days earlier in the lunar month at each occurrence, with an occasional leap forward of about 28 days when the day of the month wraps around from the beginning of the month back to the end of the month).

Shown here are the first three points in each of two 8-year series’. The occurrences in each series are at roughly the same time of year, and the two series are offset from each other by 3 years:

Orbit: 0.61519726 yr
13x Cycle: 8 yrs   (7.998)
26x Cycle: 16 yrs   (15.995)
39x Cycle: 24 yrs   (23.993)

5x Cycle: 3 yrs   (3.076)
18x Cycle: 11 yrs   (11.074)
31x Cycle: 19 yrs   (19.071)

Again tracing out one of these series’ from the point where its conjunctions first reach a separation of less than 0.625 degree to the point where they return to a separation of greater than 0.625 degree, and this time looking at its relationship to the second series that’s also passing near Regulus every 8 years –  in addition to the zero point in the middle of the time span, we also find a transition point where the baton is passed from the outgoing series as it passes beyond the 0.625 degree boundary to the incoming series as it enters the 0.625 degree range.

VenusRegulus zero and transition points3

 The current closest series is offset from the outgoing series by 3 years, and the incoming series is also offset from the current closest series by 3 years,  for a net offset of 6 years (or 6 – 8 = -2 years) between the outgoing and incoming series. At each end of the current series, at its own incoming and outgoing points, we find similar transition points in which the baton is passed to the current series from the second preceding series, and in which the baton is passed from the current series to the second following series, again with an offset of -2 years at each transition point. The overall time span for this series that we’ve traced is the previously-noted 472 years, plus the -2 year offset, for a total of 470 years. But since there are always two concurrent closest series’, and there are zero points and transition points near the the middle and near both ends of this time span, note that this subdivides the 470 years into two segments, with the time span from one zero point to the next, or from one transition point to the next, being half of this, or 235 years. When we measure the span between zero points or between transition points, this is just what we find – the span being 235 years, plus or minus 8 years. Most often 235 years, but also sometimes 243 or 227 years.

When we look at how the 8-year series’ of Venus/Regulus conjunctions play out for a longer period of time, we find the cycles of Venus too to be relevant to the 49-year Jubilee cycle. Seven of these Venus/Regulus conjunctions mark out a span of six 8-year periods, or 48 years. So a Jubilee period can be marked at both beginning and end by these conjunctions of Venus with Regulus – first in year one, the Jubilee year, and then also in year 49, the final Sabbath year of the cycle:

Orbit: 0.61519726 yr
13x Cycle: 8 yrs   (7.998)
26x Cycle: 16 yrs   (15.995)
39x Cycle: 24 yrs   (23.993)
52x Cycle: 32 yrs   (31.990)
65x Cycle: 40 yrs   (39.987)
78x Cycle: 48 yrs   (47.985)

In one of these spans of 48 years, the closeness of the occurrences changes by .1 to .2 degree, the conjunction occurs 1-3 days earlier with respect to the solar year, and with respect to the lunar month the conjunction occurs about 11 days earlier than the one 48 years before. This is equivalent to occurring about 18 days later in the previous month, so this is what we’ll see when the day of the month wraps around past day 1.

Zooming out a bit more, we find a pattern whose period alternates between 20 and 23 Jubilees in length (980 and 1127 years), in which for the first 12 to 15 Jubilees, every third Jubilee is marked at beginning and end by the 48-year cycle of Venus, giving us 4 or 5 fully marked Jubilees in each period. This marking of every third Jubilee is quite similar to the pattern found for marking of Jubilees by Saturn/Regulus conjunctions. We’ll see that this allows the two patterns to sometimes line up with each other and both mark the same Jubilees.

Orbit: 0.61519726 yr
78x Cycle: 47.985 yrs = 1 Jubilee -1 yr
239x Cycle: 147.032 yrs = 3 Jubilees
1593x Cycle: 980.009 yrs = 20 Jubilees
2947x Cycle: 1812.986 yrs = 37 Jubilees
4540x Cycle: 2792.996 yrs = 57 Jubilees
6133x Cycle: 3773.005 yrs = 77 Jubilees
7726x Cycle: 4753.014 yrs = 97 Jubilees
9080x Cycle: 5585.991 yrs = 114 Jubilees
10673x Cycle: 6566.000 yrs = 134 Jubilees

[Note – the above numbers, based on the 0.61519726 year orbit shown at http://solarsystem.nasa.gov/planetinfo/charchart.cfm, suggest an alternation between 17 and 20 Jubilees as the period of the pattern, rather than 20 and 23 Jubilees as is suggested by data from Solex. This seems to be another case where the given orbital period doesn’t quite match that which is generated by Solex. Need to investigate this.]

The marking of Jubilees by Venus/Regulus conjunctions isn’t as rare as their marking by Saturn/Regulus conjunctions, since the Venus/Regulus cycle (980 or 1127 years in length) is only about one fifth the length of the Saturn/Regulus cycle (4949 years). As with the Saturn/Regulus conjunctions, exactly where in history we’ll find this happening depends on how the Jubilee cycle is tied to the historical timeline. But in general, however we choose to align the Jubilee cycle, in the 7500-year time span that we’ll investigate, we’ll find about 7 of these Venus/Regulus cycles, which will include a total of about 30-32 marked Jubilees. Once we’ve determined how to align the Jubilee cycle to the historical timeline, we can look at exactly which Jubilees end up getting marked.

Mathematically how is it that we can have Venus/Regulus conjunctions marking the first and last years of a Jubilee cycle, 48 years apart, and at the same time also matching the 147-year, 3-Jubilee pattern of Saturn? It has to do with the 235-year span that we observed between zero points and between transition points. Remember that in addition to an every-eight-year recurrence of the Venus/Regulus conjunctions, the 235-year span also includes a 3-year offset from one series to the next. We can see this mathematically as (8 x 29) + 3 = 235. Starting with this observed 235-year span, if we back up by 11 conjunctions, or 88 years, we get 235 – 88 = 147 years, or equivalently, (8 x 18) + 3 = 147. So when we see every 3rd Jubilee being marked by Venus, this is happening because of the 3-year offset between adjacent 8-year series’. When it happens, it indicates that the 147-year span in question is ending in the Venus/Regulus series adjacent to the one in which it began, and as it turns out, this happens fairly often. Since the span between zero points of two adjacent series’ is 235 years, it’s not possible in just 147 years to go further than just to the next adjacent series. But since 147 is significantly less than 235, it is possible to not reach the next adjacent series in just 147 years. This is what is happening when after 12-15 Jubilees, we no longer find the next 147-year point marked, and the pattern fades for a while.

The reason the pattern only lasts 12 – 15 Jubilees before fading, just as is the case with Saturn’s pattern, is because the cycles of Venus don’t add up to precisely 147 years. There’s a little bit of offset each time, represented in the dates of the conjunctions by a gradual shift in the time of year, by a few days at a time. This gradual shift is also represented in the fact that 147 years is not the exact span between zero points. We had to back up by 11 conjunctions to see the 147-year correlation. So whatever offset in closeness of conjunctions and date of occurrence is represented by 11 conjunctions in the 8-year series, that’s the same offset we’ll see from one conjunction to the next in the 147-year series.

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