Mercury takes 0.2408467 year to orbit the Sun one time. For orbiting the Sun multiple times, we find that the time required for Mercury to show up again near the same part of the sky after roughly an integral number of years (an integral number plus or minus 0.02 year, or about 7 days) alternates between 6 and 7 years. The following timeline shows how this plays out mathematically for an arbitrary span of 230 years, or 955 cycles of Mercury:
A possible function of Mercury’s cycles which needs to be explored is that it may have a purpose in the marking of Sabbatical years. The 6-year span would allow some 7-year Sabbath cycles to be marked at both beginning and end, in year 1 and year 7, and the 7-year span moves us forward by a full Sabbath cycle, enabling the same marking to sometimes happen again for the following Sabbath cycle. Examining the above timeline and marking it with this color for years that begin a Sabbath cycle and this color for Sabbatical years at the end of the cycle, we can see how often a Sabbath cycle might be marked at both beginning and end by Mercury. Don’t be confused by the negative numbers at the beginning. The timeline was run backwards and taken several years in the reverse direction just to give us the full context, to be able to see the beginning of the first group of starting and ending years, the years marked in color:
-2613 20 26 33 39 40 46 53 59 66 72
7986 118 125 132 138 145 151 158 164 171 178 184
Note that four cases of a Sabbath cycle marked at both beginning and end are predicted on this timeline. These are the cases where this color is immediately followed by this color, as seen for the pairs of years -13|-7, 99|105, 204|210, and 211|217. The general mathematical pattern seen here is that this full marking of a Sabbath cycle can happen every 105 or 112 years (every 15 or 16 Sabbath cycles). This will need to be checked with astronomical data to see how it plays out in practice. Since Mercury is often too close to the Sun to be seen, it’s likely that only a portion of the mathematically predicted markings will actually be visible to an observer watching the sky.
Mercury and Venus
One evening last week (Wednesday, 1/7/2015) some kind of image flashed in my mind giving me a sense that there was something outside I needed to look at – something happening in the sky. So I went outside and looked. It wasn’t long after sunset, and I scanned as much of the sky as I could see from the backyard. Nothing spectacular came to my attention, but there was a bright light in the West – and I wasn’t sure whether it was astronomical or just the light of an airplane. So I went back inside and looked it up on the computer, and learned that what I’d seen was Venus. We were just beginning a several-day period when Mercury and Venus would be passing close to each other and should be easily visible. According to my astronomy software, their closeness for the next seven days would be:
Jan 7 – 63 minutes of a degree
Jan 8 – 51 min
Jan 9 – 42 min
Jan 10 – 39 min
Jan 11 – 42 min
Jan 12 – 51 min
Jan 13 – 64 min
I’d gotten a telescope for Christmas, so wanted to check this out more closely – but by this time the bright light was quite a bit lower in the sky. Now I could only catch glimpses of it through the neighbors’ trees. So the next night I went out with the telescope as soon as the Sun had set, and this time had a good opportunity to look. Sure enough, both planets were there. Not close enough to see both at the same time in the telescope view – but I could clearly see both the bright one, Venus, and down below and off to the side a bit, its little brother Mercury.
The next night the sky was totally overcast, and for the next several days this grey weather continued, so there were no more opportunities to look. But I’d seen enough to tell me something, anyway. I’d learned that Mercury really can be seen sometimes if you know where to look. Though it never strays far from the Sun, and thus is often lost in the Sun’s glare, this isn’t always the case.
In terms of the signs that the Father has placed in the heavens then, what sort of purpose did He give Mercury? This is the one visible planet for which I hadn’t yet identified anything of particular interest. But after having seen fascinating patterns involving all the other visible planets plus the moon, it seems highly probable that Mercury too has its own place in the scheme of things, with specific purposes for which it was designed. To discover those purposes of course, isn’t necessarily something we can always expect to be able to do. And for quite some time I’d been content to just leave Mercury mostly unexplored.
But this time it felt like I really needed to give it some attention. Something about the way all this came about kept pushing me forward. I’d had no reason to expect anything interesting in the sky that night, but yet I’d been prompted to look, and when I did, it turned out that there really was something to pay attention to. Mercury and Venus. Was this the Spirit’s prompting once again, telling me that He had something more to show me? I suspect that it was. It was excellent timing. I had one good chance to look at it – the next night, Thursday night, just before the grey skies set in. He certainly knows what the clouds will do and when – so has no difficulty in knowing how to show me precisely what He wants me to see. Ok… then what did He show me? Yes – good question. I’m not sure it’s entirely answered yet, but the pieces I currently see are:
1) Yes, Mercury is sometimes hidden by the glare of the Sun. But not always. I really did put it there for a purpose, and sometimes – in those times when I intend for it to be seen – it can be seen.
2) Look at Mercury and Venus together. This will give you a window through which you can begin to see some of the purposes for which I’ve placed this planet in the heavens. And a window through which a few others too – those who are willing to investigate – will be able to begin clearly seeing that these solar system bodies were put there by my own design; for my own purposes; and that these things could never have been achieved by the random unguided processes that so many people take to be responsible for the creation of the things you see all around you.
So I began exploring the patterns of co-occurrence of Mercury and Venus.
Examining the Solex data for Mercury/Venus conjunctions over a span of a thousand years or more, and paying attention just to a particular time of year in order to focus in on the most stable cycles, it soon becomes clear that periods of 40 years are often marked at beginning and end by Mercury/Venus conjunctions. The exact span between these conjunctions is typically 40 years minus 8 or 9 days. This time period is made up of 166 cycles of Mercury (166 x .2408467 = 39.981 yrs) and 65 cycles of Venus (65 x .61519726 = 39.988 yrs).
There is also sometimes a span of 3 years plus 40 days between Mercury/Venus conjunctions. This time period is made up of 13 cycles of Mercury (13 x .2408467 = 3.131 yrs) and 5 cycles of Venus (5 x .61519726 = 3.076 yrs)
These 40-year and 3-year spans are found to work together to create stable longer-term periods. One such period is found stretching for 646 years between two very close conjunctions of Mercury and Venus, beginning with a .00168 degree conjunction in -1556/9/18, and ending with a .00170 degree conjunction in -910/9/22. This 646-year period is made up of sixteen 40-year spans and two 3-year spans, with (16 x 40) + (2 x 3) = 646. Because Mercury never strays far from the Sun, not all of these Mercury/Venus conjunctions can be readily seen. The conjunction in -1556 was a very nice one – quite visible just before sunrise, because of an 18-degree separation between Mercury/Venus and the Sun. The conjunction in -910 on the other hand was actually not observable. It was only 5 degrees from the Sun, so was lost in the Sun’s glare before it had risen high enough above the horizon to be seen.
From examination of the astronomical data, what stands out most clearly is the 40-year cycle. But what would a mathematical perspective show us? Are there other details that I may not have noticed? It’s worth taking a look. Let’s look again at a piece of the timeline of Mercury’s cycle shown at the beginning of this writeup, and this time compare it with a similar timeline of Venus:
Mercury: 0 7 13 20 26 33 39 40 46 5366 72
Venus: 8 1640 48 56 64 72 80
We do see just as the astronomical data showed, that these two timelines match up at the 40-year point, with no matches prior to that. We also see a match-up at 72 years. Whether the 72-year point will correlate with anything of significance in the actual astronomical data is yet to be seen. When we look at exactly how similar these matched points really are, we find the 40-year points of Mercury and Venus to differ by only .007 year, while the 72-year points differ by five times as much, by .035 year. So I suspect that the 72-year point may have much less significance in the actual astronomical data. Still it would be good to look for this and see.
Some other things to notice here. Note that Mercury has a 59-year point, which is equal to two of Saturn’s cycles. This may indicate that Mercury and Saturn are sometimes meant to work together in marking events. It also has a 79-year point, which matches one of Mars’ cycles. This may indicate that Mercury and Mars are sometimes meant to work together in marking events. And note that Venus has a 24-year point, which is equal to two of Jupiter’s cycles. This may indicate that Venus and Jupiter are sometimes meant to work together in marking events. And Venus has a 32-year point, which matches one of Mars’ cycles. This may indicate that Venus and Mars are sometimes meant to work together in marking events.
Alignment with the Jubilee cycle
Last night (Tue 1/13/2015) in sorting through these observations and writing about them in an email, one additional important detail came to my attention. In the other studies I’ve done on planet cycles, exploring all the other visible planets plus the moon, I’ve continued to stumble onto interesting correlations with the Biblical 49-year Jubilee cycle. With every one of the other visible planets, this has been the case – for Saturn, for Jupiter, for Mars, for Venus, and even for the moon – in each case underlining for me the fact that the One who gave this 49-year cycle to the nation of Israel to follow, and the One who designed and created all these things at the dawn of time, certainly have to be one and the same – the Holy One of Israel – just as is clearly stated in the Scriptures. With the current Venus/Mercury study, I was thinking at first, “Ok, here’s one planet anyway that doesn’t seem to have any particular relationship to the Jubilee cycle. Maybe this one is mostly just designed for marking 40-year periods. That too seems quite relevant to Biblical events, after all.” But as I wrote down and worked with the numbers in the email, a fascinating connection came to my attention. That well-marked period of 646 years, made up of (16 x 40) + (2 x 3) years… If we lengthen this period by just one more 40-year span, this gives us 686 years – and this is a number which is quite strongly related to the 49-year Jubilee cycle. We end up with:
- 686 = (17 x 40) + (2 x 3) – the relationship to the series of Venus/Mercury conjunctions
- 686 = 14 x 49 = 14 Jubilees – the relationship to the Jubilee cycle
Totally fascinating. This has to be part of the Creator’s design work. Who would have even guessed that every one of the visible planets would have a cycle length which ends up being related to the pattern of 49-year Jubilee periods? But then having seen that they do – This amazing degree of correlation can’t be written off as just the random result of unguided natural processes. It can’t be understood and explained in any other way than to recognize it as the skillful and careful handiwork of Someone who sees and knows and understands far, far more than I can ever even begin to grasp.
Jan 24, 2015
I won’t be able to fully write this up for a while because the computer that all my work is on won’t boot, and possibly many of the files on the hard drive have been lost. But I need to at least briefly report on some further investigation of the Mercury/Venus Jubilee connection. It turns out that the closest match mathematically is actually a period of 980 years, not 686. Interestingly it’s still a period related to the Jubilee cycle, but it’s 20 Jubilees rather than 14.
Though the 686-year period is real, it seems to usually be the case that the conjunctions can’t be seen at both ends of the period, with the conjunction on at least one end occurring too close to the Sun to have been viewable. But the 20-Jubilee span, besides being a closer match mathematically, also seems to be nicely synchronized with the pattern of visibility, with the conjunctions at both ends of the period being roughly equally visible. More research is needed, but it will likely be much more productive to pay attention to this 980-year period than to the previously-mentioned 686-year period.
Here are the matched pairs separated by 980 years that I was able to identify before the computer went down. The number following the date in each case indicates the angle of separation in degrees between the conjunction and the Sun, with “+” indicating that these are viewable in the evening. Only the cases where this angle is 10 degrees or more are likely to actually have been visible, so only these cases are reported here:
Between most of these pairs are 40-year spans, with the elongation (angle of separation from the Sun) and resulting visibility gradually increasing every 40 years. At one point the elongation drops back a bit. This is at a 43-year span. There’s a long gap from 1034 to 1612 that’s unaccounted for here. This is mostly just a continuation of 40-year spans and an occasional 43, but now marked by mostly unobservable conjunctions with elongation of 10 or less. Somewhere in here there’s also an additional 11-year gap that comes into play. The overall mathematical patterns for the 14-Jubilee and 20-Jubilee periods are:
- 14 x 49 = 686 = (17 x 40) + (2 x 3)
- 20 x 49 = 980 = (24 x 40) + (3 x 3) + 11
Apparently the additional shift of 11 years for the 980-year span is what synchronizes the visibility. The basic building blocks that make up these cycles are seen in the equations as time periods of 40, 3, and 11 years. The 40-year span (minus about 8 days) is most common, with the 3-year span (plus about 40 days) being less common. This may be better viewed as a 43-year span. The 11-year span (plus about 23 days) is least common and needs some more study. It may be better viewed as a 51-year span.
The cases looked at so far were found because of their connection to the recent conjunction of Jan 11, 2015. That’s why they’re all evening conjunctions – because that’s what was visible just a few weeks ago. Is this just a special case, that for this set of conjunctions the 980-year span is so well synchronized with the pattern of visibility? I don’t think so. Some more study is needed on this – but taking the extremely close and quite visible conjunction of -1556 that Solex found for us as another starting point, we again get a good match in the degree of visibility:
Both quite visible at 18 degrees, with “-” indicating that these two cases were visible in the morning just before Sunrise rather than in the evening.
And what if we go forward or back by more than one period of 980 years? Will the stability of this 980-year connection still hold? Starting from the recent Jan 11 conjunction again, I get this long series, now also showing the closeness of the conjunction as the middle number:
-4846/12/14 .181 +12
-3866/12/16 .132 +13
-2886/12/18 .076 +14
-1906/12/20 .008 +15
-0926/12/22 .079 +16
0054/12/25 .203 +17
1034/12/27 .387 +18
2015/01/11 .642 +19
2995/01/19 .914 +19
3975/01/28 1.159 +20
Ok, so all are visible to some degree, with visibility gradually and steadily increasing every 20 Jubilees. The closeness has an interesting pattern too, with the closest specimen in the middle, and then diverging as we go forward or backward from there. And the date is quite stable, moving ahead by just 2 or 3 days each period for ancient dates, up until the Gregorian period begins.
More study is needed to fully identify the pattern of Mercury/Venus conjunctions within a single 980-year period. Based on insights from just the mathematical patterns, it seems that maybe the most meaningful time spans in how the cycles play out will be the following:
243 yrs ((6 x 40) + 3)
283 yrs ((7 x 40) + 3)
414 yrs (283 + (3 x 40) + 11)
697 yrs (414 + 283)
980 yrs (697 + 283)
Note that the cycle lengths of 0.2408467 and 0.61519726 which I’ve been using for Mercury and Venus need some study and refinement. I’ve mostly just taken these numbers for granted because they originated from a NASA website – but the reality turns out to be that what answer you’ll get for this measurement actually varies to some degree, depending on the time period being measured, and what starting and ending points are being used. A measurement done from 7 Jan 779 to 11 Jan 2015 gives an answer of 0.240841 for Mercury and 0.615192 for Venus, and reveals that the original numbers seem to be overly fine-tuned, using more digits than are really significant, apparently having been tailored for a particular investigation in which a span of 1263 years (980 + 283) had been given special significance.
Better if we can avoid unnecessary fine tuning of our own and just let the genuine patterns speak for themselves. So for this purpose I need to learn how to use Solex for making my own calculations of these planet cycle durations and determining how many digits are truly significant.