Analysis of the 1470-year Dansgaard-Oeschger climate oscillation

Posted: March 12, 2020 by oldbrew in climate, Cycles, Maths, solar system dynamics
Tags: , , ,


Wikipedia says:

Dansgaard–Oeschger events (often abbreviated D–O events) are rapid climate fluctuations that occurred 25 times during the last glacial period. Some scientists say that the events occur quasi-periodically with a recurrence time being a multiple of 1,470 years, but this is debated. —

The 25 occurrences of 1470 years are represented in this synodic chart posted in the comments of our 2018 blog post:
Possible origin of Dansgaard-Oeschger abrupt climate events.

Re. the ‘debate’, let’s take a line from this paper:
On the 1470-year pacing of Dansgaard-Oeschger warm events
Michael Schulz
First published: 01 May 2002
Citations: 99
‘a fundamental pacing period of ~1470 years seems to control the timing of the onset of the Dansgaard-Oeschger events.’

Another study: Timing of abrupt climate change: A precise clock
Stefan Rahmstorf
First published: 21 May 2003

An analysis of the GISP2 ice core record from Greenland reveals that abrupt climate events appear to be paced by a 1,470-year cycle with a period that is probably stable to within a few percent; with 95% confidence the period is maintained to better than 12% over at least 23 cycles. This highly precise clock points to an origin outside the Earth system; oscillatory modes within the Earth system can be expected to be far more irregular in period.

[bold added]

However, researchers often admit defeat when looking for a viable mechanism to explain its regularity, or just say there isn’t one to date.

Kepler’s trigon – the orientation of consecutive Jupiter-Saturn synodic periods, showing the repeating triangular shape (trigon).


Returning to the synodics chart, a relevant number doesn’t appear in it. The Jupiter-Saturn conjunction of 19.865~ years is an important period in the solar system, and it returns to almost the same position after every three occurrences, as Johannes Kepler noted with his ‘trigon’, centuries ago.

We can work out the rate of movement per conjunction in degrees:
360 – ((360 / S) * J-S) = 117.147 degrees
(360 / 117.147) * J-S = 61.046482y (‘JS-360’)
[Data: https://ssd.jpl.nasa.gov/?planet_phys_par ]

Then, from the chart:
1470*25 / ‘JS-360’ = 602.00029
Check: (602*360) / 117.147 = 1849.983 (1850 J-S, see chart)
Since ‘JS-360’ is almost exactly a whole number (602), the Jupiter-Saturn conjunction should be in its original position at the end of the 25 D-O cycles.

Adding 602 to the orbits of each planet = multiples of 25:
223(N) + 602 = 825 (25*33) = 1850-1025(S-N)
[33 = 74-41]
1248(S) + 602 = 1850 (25*74)
3098(J) + 602 = 3700 (25*74*2)

Another way to get multiples of 25:
Add 2 to each orbit number (see chart), and subtract 2 from 602.

More on the 602 number:
602 = 14*43
14*61.046482y = 854.651y
43 J-S = 854.197y
These two results are only about half a year apart, and we find:
43*43 = 1849 J-S
Add 1 = 1850 J-S completing the 25 D-O cycle.

43*61.046482y = 2625 years (2624.9987)
1470:2625 = 14:25 ratio
1470*25 = 2625*14 (hence 602 of ‘JS-360’ = 14*43)

Obliquity note:
28 D-O = 41160 years, a fair match to the expected 41 kyr period.
One paper refers to a fit between D-O and obliquity.
Others support the notion of a link — possibly a topic for another post.
(28*25*1470 = 1,029,000 years)

Example of a 1470 year period from Arnholm’s solar simulator — click on image to enlarge:

Showing Neptune, Jupiter, Saturn and Earth.
* * *
Another one — Jupiter, Neptune, Saturn

Comments
  1. tallbloke says:

  2. oldbrew says:

    All it says is how 25 Dansgaard-Oeschger events averaging 1470 years can be a repeating cycle. The numbers just show the way it works, which may lack narrative colour but that’s the trouble with maths 🤔

    I’ve added a couple of graphics that might help. See also the 2018 blog post referred to above, which looks at a single D-O period.
    – – –
    Check: (602*360) / 117.147 = 1849.983 (1850 J-S, see chart)

    Turning that round the other way:
    117.147 degrees per Jupiter-Saturn conjunction * 1850 = 216721.95 degrees, divide by 360 = 602.005~
    (Kepler diagram: each move i.e. straight line should advance 117.147 deg.)

    I didn’t mention the conjunctions of J, S and N with Earth — to limit the numbers! Maybe I’ll explain it to Tallbloke one day over a pint…

  3. Zoe Phin says:

    Interesting, but confusing.

    Here’s a very bold idea:
    http://phzoe.com/2020/03/11/40-years-of-climate-change/

  4. oldbrew says:

    It’s the Talkshop model of Rahmstorf’s origin outside the Earth system.
    – – –
    Javier started a posted with this at Judith Curry’s website a few years ago…

    Nature Unbound II: The Dansgaard-Oeschger Cycle

    Dansgaard-Oeschger (D-O) events are the most dramatic and frequent abrupt climate change events in the geological record.
    https://judithcurry.com/2017/02/17/nature-unbound-ii-the-dansgaard-oeschger-cycle/

    A repeating planetary alignment trigger is on offer if anyone wants it.

  5. oldbrew says:

    New paper…

    Persistent influence of obliquity on ice age terminations since the Middle Pleistocene transition

    Petra Bajo1,2,3, Russell N. Drysdale1,4,*, Jon D. Woodhead5, John C. Hellstrom5, David Hodell6, Patrizia Ferretti7,8, Antje H. L. Voelker9,10, Giovanni Zanchetta11, Teresa Rodrigues9,10, Eric Wolff6, Jonathan Tyler12, Silvia Frisia13, Christoph Spötl14, Anthony E. Fallick15

    Science 13 Mar 2020:
    https://science.sciencemag.org/content/367/6483/1235.abstract
    – – –
    D-O oscillations have been linked to obliquity…

    Data concerning statistical relation between obliquity and Dansgaard–Oeschger events (2019)
    https://www.sciencedirect.com/science/article/pii/S2352340919300769

  6. oldmanK says:

    oldbrew: yes it is wanted.

    Javier’s Nature Unbound IX was a very interesting and fruitful piece, particularly his fig 122. The roots of the Eddy cycle all matched an abrupt event (the last found was the ~1300bce the precurser for the Minoan and other collapses). See Eric Cline and Amos Nur https://www.academia.edu/355162/2000_Nur_and_Cline_JAS_Poseidons_Horses_article

  7. oldbrew says:

    Javier’s blog post says:
    So since the conditions for D-O oscillations can be shut down, for example during the Last Glacial Maximum, and upon being restarted they still maintain the same 1470 year pacing, this is a strong indicator that the trigger for the D-O cycle is external, and its clock is always ticking.

    The Jupiter-Saturn-Neptune ‘clock’ fits the bill according to the orbit/synodic numbers IMO. These are the three most massive planets in the solar system.
    – – –
    One of the graphics from Javier’s post

    Caption: Figure 18. The Dansgaard-Oeschger cycle. Dividing the 50-10 kyr BP period in boxes of 1470 years clearly shows the periodicity of the DO cycle, that has less than 1% probability of being due to chance. The deviation for the later, best dated, oscillations from the period is of only 2%. Source: S. Rahmstorf, 2003. Geophys. Res. Lett. 30 1510-1514.

  8. oldbrew says:

    oldmanK: the Eddy cycle looks like 2/3rds of the D-O cycle to me i.e. 980 years. That also fits the synodics of the inner rocky planets. I put that to Javier in the comments but he wasn’t interested.

    Thousand-Year Cycle Signals in Solar Activity
    https://www.researchgate.net/publication/225788249_Thousand-Year_Cycle_Signals_in_Solar_Activity

  9. oldmanK says:

    oldbrew: tks. It was Javier’s NA IX that led me to check the Eddy cycle on the series of date I already had and they made a decent and surprising fit. Now I (and we) have a sequence of events triggered by that cycle, extending from the 6k2bce to today. There is a tick-tock hidden there (possible freq modulated too).

    As to the planets’ gravitational effect on Earth, J and Venus are way above the rest, with S a distant third (M1M2/d^2). And the Sun. Trigger points??

    The other thread on ‘What cause ice ages?’, there obliquity features prominently from paper abstract. But they seem to rely on the secular projection backwards of the obliquity formulae. That, I am certain, is nature’s, or science’s, red herring. The alignment between J, V, Sun, with respect to earth could/might trigger abrupt orientation changes (due to gyro torques )

  10. oldmanK says:

    oldbrew: Answering at above your link.

  11. oldbrew says:

    Study: Using Holo-Hilbert spectral analysis to quantify the modulation of Dansgaard-Oeschger events by obliquity (2018)
    https://www.sciencedirect.com/science/article/abs/pii/S0277379118301367

    Highlights

    • Introducing, for the first time, the novel Holo-Hilbert spectral analysis (HHSA) for studying paleoclimate records.

    • Demonstrating advantages of HHSA in quantifying amplitude modulation of Dansgaard-Oeschger (DO) events by orbital forcing.

    • More DO events in Greenland occurred when decreasing phase of obliquity varies from mean to minimum value.

    • Larger amplitude modulation of Greenland DO events occurred when obliquity phase varies from mean to minimum value.

    • Larger amplitude modulation of Antarctic DO events occurred after increasing phase of obliquity passes mean value.
    – – –
    From the abstract:
    Greenland DO mode at a timescale of about 1400 years leads the Antarctic DO mode at the same timescale by about 1000 years.
    – – –
    1470:980 = 3:2

  12. dennisambler says:

    Sounds like Singer and Avery,

  13. Perhaps the Earth enters a cosmic ray stream each time and this varies the cloud cover?

  14. oldmanK says:

    oldbrew: 1470:980 = 3:2 Is 490 – or thereabouts – of any significance? Subharmonics?

    The Eddy cycle has events at both roots (DACP; MM) and peaks (MWP; Present warming)

  15. Paul Vaughan says:

    Definitions

    Higher-order nonlinear slip cycles are extremely sensitive to parameter assumptions, leaving an obvious avenue to model disruption by elites more concerned with domination (social, political, economic, military, and/or whatever) than fidelity.

    Calling them “data”, Olbrew uses parameter estimates listed as “Sidereal Orbit Period” here:
    https://ssd.jpl.nasa.gov/?planet_phys_par

    Note the “[B]” beside all of the parameter estimates in that column.
    From the “References” below the table:

    “[B] Explanatory Supplement to the Astronomical Almanac. 1992. K. P. Seidelmann, Ed., p.706 (Table 15.8) and p.316 (Table 5.8.1), University Science Books, Mill Valley, California.”

    It’s available in several formats:
    https://archive.org/details/131123ExplanatorySupplementAstronomicalAlmanac/mode/2up

    Everyone trying to follow Oldbrew’s calculations should be well-aware that the NASA table presents rounded-off values, which are insufficient for hierarchical slip-cycle model sensitivity diagnostics.

    Parameter estimates from NASA’s source “[B]” Seidelmann (1992) :

    0.240846697327135 = 100/(415+261628.29/360/60/60) = 1 / Me
    0.615197263396975 = 100/(162+712136.06/360/60/60) = 1 / V
    1.00001743371442 = 100/(99+1293740.63/360/60/60) = 1 / E
    1.88084761346252 = 100/(53+217103.78/360/60/60) = 1 / Ma
    11.8626151546089 = 100/(8+557078.35/360/60/60) = 1 / J
    29.4474984673838 = 100/(3+513052.95/360/60/60) = 1 / S
    84.016845922161 = 100/(1+246547.79/360/60/60) = 1 / U
    164.791315640078 = 100/(0+786449.21/360/60/60) = 1 / N
    247.920651618113 = 100/(0+522747.9/360/60/60) = 1 / P

    I’ve brought this up repeatedly. This is the last time. In future I may simply link back to this comment.

  16. Paul Vaughan says:

    Review

    Some may remember that for years I steadfastly refused to discuss the politics.

    We covered a wide diversity of climate ground between 2008 and 2013 when the game changed to permanent injustice and strict permanent boycott with all the social and political consequences hinging on just 4 key facts which will never again be discussed in our lifetimes.

    “UN4giveUN” — Metallica

    We discussed this JSN 1470 year thing 5 years ago. (It’s not what I was recently referring to as “sin […] DO Hazzard”. “365.25 Julian daze” was inserted “4 a mintue there”.)

    If I remember correctly Ulric Lyons had described it succinctly and clearly enough in words that I quickly did the calculations and plotted an animation showing the tight alignment with the tropical Earth year at 1470 years.

    I don’t bother with graphs and animations anymore because images (no matter how important) get torn down off the web at a rapid pace (some repeatedly) even when less important words remain.

    A picture is worth a thousand words, but now weave thousands of numbers instead.
    Here’s another way to symbolize the 1470 year JSN slip with universally calculated framing:

    Jovial Game of Celestial Hearts

    J = 1 / 11.8626151546089 ____ Cards Featured
    S = 1 / 29.4474984673838

    N = 1 / 164.791315640078 ____ Card Player Shuffled with Deck

    C = Challenger of Harmonic Means = Queen of Spades
    = Contestant Rocking Hearts 4 Calendar Mayan-D Count Roll
    C = 1 / 164.791315640078 = +1N

    B = 1 / 19.8650360864628 = +1J-1S = beat __________________ Dealer’s Time Table
    R = 1 / 16.9122914926352 = +0.5J+0.5S = harmonic mean
    I = 1 / 8.4561457463176 = +1J+1S = axial period

    R+C = 1 / 15.3381587164875 = +0.5J+0.5S+1N ____ Splitting the Deck
    R-C = 1 / 18.8464779344302 = +0.5J+0.5S-1N

    1B = ⌊1(R-C)/B⌉B = harmonic of B slipping nearest 1(R-C) ____1 Whole
    |1(R-C)-1B| = |W-| = 1 / 367.564643730028 = -0.5J+1.5S-1N __|Solar Core|
    2B = ⌊2(R-C)/B⌉B = harmonic of B slipping nearest 2(R-C) ____2 Halves
    |2(R-C)-2B| = |H-| = 1 / 183.782321865014 = -1J+3S-2N __|Solar Opposition|
    4B = ⌊4(R-C)/B⌉B = harmonic of B slipping nearest 4(R-C) ____4 Quarters
    |4(R-C)-4B| = |Q-| = 1 / 91.891160932507 = -2J+6S-4N __|Solar Rights|

    1B = ⌊1(R+C)/B⌉B = harmonic of B slipping nearest 1(R+C) ____1 Whole
    |1(R+C)-1B| = |W+| = 1 / 67.3075613719537 = -0.5J+1.5S+1N __|Galactic Core|
    3B = ⌊2(R+C)/B⌉B = harmonic of B slipping nearest 2(R+C) ____2 Halves
    |3B-2(R+C)| = |H+| = 1 / 48.4840054109347 = +2J-4S-2N __|Galactic Opposition|
    5B = ⌊4(R+C)/B⌉B = harmonic of B slipping nearest 4(R+C) ____4 Quarters
    |4(R+C)-5B| = |Q+| = 1 / 110.023287923032 = -3J+7S+4N __|Galactic Rights|

    ⌊ 367.564643730027 / 19.8650360864628 ⌉ = ⌊18.5030946900976⌉ = 19
    367.564643730027 / 19 = 19.3455075647383
    i.e. harmonic of 367.564643730027 nearest 19.8650360864628 is 367.564643730027 / 19 = 19.3455075647383
    739.707619148219 = (19.8650360864628)*(19.3455075647383) / (19.8650360864628 – 19.3455075647383)

    ⌊ 183.782321865014 / 19.8650360864628 ⌉ = ⌊9.25154734504879⌉ = 9
    183.782321865014 / 9 = 20.4202579850015
    i.e. harmonic of 183.782321865014 nearest 19.8650360864628 is 183.782321865014 / 9 = 20.4202579850015
    730.607281223213 = (20.4202579850015)*(19.8650360864628) / (20.4202579850015 – 19.8650360864628)

    ⌊ 91.8911609325068 / 19.8650360864628 ⌉ = ⌊4.62577367252439⌉ = 5
    91.8911609325068 / 5 = 18.3782321865014
    harmonic of 91.8911609325068 nearest 19.8650360864628 is 91.8911609325068 / 5 = 18.3782321865014
    245.549695961722 = (19.8650360864628)*(18.3782321865014) / (19.8650360864628 – 18.3782321865014)

    982.198783846889 = 4*245.549695961722
    The solar system has so many slip cycles in resonance with 982 we’ve lost count.

    ⌊ 245.549695961722 / 183.782321865014 ⌉ = ⌊1.33608985603129⌉ = 1
    245.549695961722 / 1 = 245.549695961722
    i.e. harmonic of 245.549695961722 nearest 183.782321865014 is 245.549695961722 / 1 = 245.549695961722
    730.607281223211 = (245.549695961722)*(183.782321865014) / (245.549695961722 – 183.782321865014)

    ⌊ 245.549695961722 / 91.8911609325068 ⌉ = ⌊2.67217971206258⌉ = 3
    245.549695961722 / 3 = 81.8498986539075
    i.e. harmonic of 245.549695961722 nearest 91.8911609325068 is 245.549695961722 / 3 = 81.8498986539075
    749.037521462368 = (91.8911609325068)*(81.8498986539075) / (91.8911609325068 – 81.8498986539075)

    735.129287460055 = (739.707619148219)*(730.607281223213)/((739.707619148219+730.607281223213)/2)
    1470.25857492011 = 2*735.129287460055

    Now here’s something new and this is where it gets a lot more interesting than the review.

    Boundary Conditions

    This should look familiar:
    405691.196375825 = (304407.424910486)*(173913.043478261) / (304407.424910486 – 173913.043478261)

    These may not:
    221359.633226218 = (304407.424910486)*(173913.043478261)/((304407.424910486+173913.043478261)/2)
    110679.816613109 = (304407.424910486)*(173913.043478261) / (304407.424910486 + 173913.043478261)

    59386.3411424539 = (739.707619148219)*(730.607281223213) / (739.707619148219 – 730.607281223213)

    ⌊ 367.564643730027 / 9.93251804323141 ⌉ = ⌊37.0061893801952⌉ = 37
    367.564643730027 / 37 = 9.934179560271
    i.e. harmonic of 367.564643730027 nearest 9.93251804323141 is 367.564643730027 / 37 = 9.934179560271
    59386.3411424483 = (9.934179560271)*(9.93251804323141) / (9.934179560271 – 9.93251804323141)

    ⌊ 59386.3411424483 / 91.8911609325068 ⌉ = ⌊646.268264975639⌉ = 646
    59386.3411424483 / 646 = 91.9293206539448
    i.e. harmonic of 59386.3411424483 nearest 91.8911609325068 is 59386.3411424483 / 646 = 91.9293206539448
    221371.951374207 = (91.9293206539448)*(91.8911609325068) / (91.9293206539448 – 91.8911609325068)
    110685.975687103 = 221371.951374207 / 2

    The people who don’t think there have been 4 very serious miscarriages of justice work for the devil, but we can thank God 4 corrections that are UNdoorwei.

  17. Paul Vaughan says:

    Moderators: Lengthy review calculations — along with new 4 shadowing — are stuck in moderation. Please free 4 view.

  18. oldbrew says:

    The chart (blue background, start of post) shows the orbit numbers of J, S and N are all 2 short of a multiple of 25. That implies a harmonic at the half-period of 1470 years i.e. 735y.

    Also 1/3rd of 1470 = 490y, close to 3 Neptune and 2 Pluto orbits, and to 1 N-P conjunction.
    336 (112*3) Neptune is almost 113*490 years (1/3rd of 1470), so an ‘extra’ 490 years in the period, since 113-112=1.

    224 Pluto (112*2) = almost 337 Neptune (cf. 336, line above) and 113 N-P conjunctions of 491.465~years.

    2/3rds of 1470 = 980y which is a candidate period for the Eddy cycle.

  19. Paul Vaughan says:

    980 is “the Landscheidt Cycle”, named after the creatively pioneering interest captivator. Otherwise, who would have looked? Ants swore: No. UN.

    Landscheidt was the won No. wing how 2 build a Miss Tory (2 be continued….)

  20. Paul Vaughan says:

    Last Stock Car on French Soil in DO Hazard

    Pub tipped encrypted scales two fold iron core ten four Miss Tory Age.

    Here’s won key 4 the last 25685 stock cars of the my yen $UN:
    1 / (2 s_3 + s_4 + g_3 – 3 g_2)

    We C 1st 3 rows of tabul R review.
    The lost 4 rows are stocked by Last Car (2004 & 2011 V6 eng.UN’$’tables).

    5124.671705	5125.788944	5126.235976	5127.048961	5125.256674
    25757.85066	25763.46618	25765.71307	25769.79933	25760.79085
    40997.37364	41006.31155	41009.88781	41016.39169	41002.05339
    25794.10308	25799.72649	25801.97655	25806.06856	25797.04741
    25737.06218	25742.67316	25744.91824	25749.0012	25740
    25680.14742	25685.746	25687.98611	25692.06004	25683.07875
    25623.35853	25628.94472	25631.17988	25635.2448	25626.28337
    68753.31565	68760.61121	68753.31565	68760.61121	1/s_3
    72993.52295	73009.97127	72993.52295	73009.97127	1/s_4
    74619.99079	74619.99079	74626.02773	74626.02773	1/g_3
    173913.0435	173889.7088	173804.2409	173804.2409	1/g_2
    

    Mnemonic Stares of the My UN D-Palace

    The middle 4 rows scale by the Miss Tory factor:
    1.00221629402041 = (11*365.25/5/2)^(1/2)/5/2/2 = systematica11y BRI11√(Φ-φ)ant pass buy US

    Review doors baktun borg:
    5125.25667351129 = 13*144000/365.25
    394.250513347023 = 144000/365.25
    19.7125256673511 = 7200/365.25

    The last ca11UN symbolica11y reorients EU 4 Mayan-D Count Rule:
    25740 = 13*5 * 4*9*11
    25760.7908545004 = 13*5*(36.0290781181824)*11
    41001.6165713382 = 13*5^3*2^9*(5256.63940169013)/(44.2784629967671)/(73.0002008969005)/11/3

    Π11 O No. MIa11 in 2 grow11 Burger-Looter (1991 Table UN) stock-theft buy List Car meth OD:

    25765.9861459114 = (109850.401229556)*(20870.6629853462) / (109850.401229556 – 20870.6629853462)

    19060.0385513837 = (109850.401229556)*(10435.3314926731)/((109850.401229556+10435.3314926731)/2)
    23061.4001371721 = (25765.9861459114)*(20870.6629853462)/((25765.9861459114+20870.6629853462)/2)
    19136.6956239245 = (4758154)*(19060.0385513837) / (4758154 – 19060.0385513837)
    18983.99316873 = (4758154)*(19060.0385513837) / (4758154 + 19060.0385513837)
    23738.6341030999 = (808356)*(23061.4001371721) / (808356 – 23061.4001371721)
    22421.7356603414 = (808356)*(23061.4001371721) / (808356 + 23061.4001371721)
    2379076.99999998 = (19136.6956239245)*(18983.99316873) / (19136.6956239245 – 18983.99316873)
    404177.999999999 = (23738.6341030999)*(22421.7356603414) / (23738.6341030999 – 22421.7356603414)
    94781.9349281642 = (23738.6341030999)*(18983.99316873) / (23738.6341030999 – 18983.99316873)
    98714.7084678402 = (23738.6341030999)*(19136.6956239245) / (23738.6341030999 – 19136.6956239245)
    123817.905979189 = (22421.7356603414)*(18983.99316873) / (22421.7356603414 – 18983.99316873)
    130615.738601488 = (22421.7356603414)*(19136.6956239245) / (22421.7356603414 – 19136.6956239245)

    Stock Car Ace Coarse

    Peaceful review of Earth-Venus harmonic means:

    0.761766209372164 = (1.00001743371442)*(0.615197263396975)/((1.00001743371442+0.615197263396975)/2)

    JEV

    ⌊ 44.2784629967671 / 0.761766209372164 ⌉ = ⌊58.126052917549⌉ = 58
    44.2784629967671 / 58 = 0.763421775806329
    i.e. harmonic of 44.2784629967671 nearest 0.761766209372164 is 44.2784629967671 / 58 = 0.763421775806329
    351.268846907657 = (0.763421775806329)*(0.761766209372164) / (0.763421775806329 – 0.761766209372164)

    ⌊ 351.268846907657 / 44.2784629967671 ⌉ = ⌊7.93317615684411⌉ = 8
    351.268846907657 / 8 = 43.9086058634571
    harmonic of 351.268846907657 nearest 44.2784629967671 is 351.268846907657 / 8 = 43.9086058634571
    5256.63940172076 = (44.2784629967671)*(43.9086058634571) / (44.2784629967671 – 43.9086058634571)

    SEV UNno.logy

    ⌊ 36.0290781181824 / 0.761766209372164 ⌉ = ⌊47.2967659564173⌉ = 47
    36.0290781181824 / 47 = 0.766576130174094
    i.e. harmonic of 36.0290781181824 nearest 0.761766209372164 is 36.0290781181824 / 47 = 0.766576130174094
    121.40569812369 = (0.766576130174094)*(0.761766209372164) / (0.766576130174094 – 0.761766209372164)

    ⌊ 121.40569812369 / 36.0290781181824 ⌉ = ⌊3.36965874412483⌉ = 3
    121.40569812369 / 3 = 40.46856604123
    i.e. harmonic of 121.40569812369 nearest 36.0290781181824 is 121.40569812369 / 3 = 40.46856604123
    328.426420457382 = (40.46856604123)*(36.0290781181824) / (40.46856604123 – 36.0290781181824)

    IT’s AI wei’s a Factor of 8 = 16 / 2 = (2036 – 2020) / 2 put in the ca11ca118shhUN.

    ⌊ 5256.63940172076 / 328.426420457382 ⌉ = ⌊16.0055314502412⌉ = 16
    5256.63940172076 / 16 = 328.539962607547
    i.e. harmonic of 5256.63940172076 nearest 328.426420457382 is 5256.63940172076 / 16 = 328.539962607547
    328.483181720836 = (328.539962607547)*(328.426420457382)/((328.539962607547+328.426420457382)/2)
    656.966363441672 = 2*328.483181720836

    My Yen $un’$’ AB out the Moon

    ⌊ 5125.25667351129 / 656.966363441672 ⌉ = ⌊7.80139891281714⌉ = 8
    5125.25667351129 / 8 = 640.657084188912
    i.e. harmonic of 5125.25667351129 nearest 656.966363441672 is 5125.25667351129 / 8 = 640.657084188912
    25806.7906183831 = (656.966363441672)*(640.657084188912) / (656.966363441672 – 640.657084188912)

    Moon’s lip on tropi.ca11 year’s D-vision by UN Dread:
    ⌊ 5.99685290323073 / 0.999978614647502 ⌉ = ⌊5.99698115078656⌉ = 6
    5.99685290323073 / 6 = 0.999475483871788
    i.e. harmonic of 5.99685290323073 nearest 0.999978614647502 is 5.99685290323073 / 6 = 0.999475483871788
    1986.46983643257 = (0.999978614647502)*(0.999475483871788) / (0.999978614647502 – 0.999475483871788)

    ⌊ 1986.46983643257 / 179.333323110834 ⌉ = ⌊11.0769699795552⌉ = 11
    1986.46983643257 / 11 = 180.588166948415
    i.e. harmonic of 1986.46983643257 nearest 179.333323110834 is 1986.46983643257 / 11 = 180.588166948415
    25808.3716263561 = (180.588166948415)*(179.333323110834) / (180.588166948415 – 179.333323110834)

    Lost Car’s Tock (black box content AB O V-E):
    25806.068559738

    3-way %errors AI less UN .01.

    Primorial Ink

    ⌊ 1986.46983643257 / 179.331413713169 ⌉ = ⌊11.0770879195199⌉ = 11
    1986.46983643257 / 11 = 180.588166948415
    i.e. harmonic of 1986.46983643257 nearest 179.331413713169 is 1986.46983643257 / 11 = 180.588166948415
    25768.886341786 = (180.588166948415)*(179.331413713169) / (180.588166948415 – 179.331413713169)

  21. Paul Vaughan says:

    Moderators: The billed mystery’s now hidden well in the moderation cue a weighting real ease.

    Meanwhile readers have Jupiter and Saturn to thank 4 some lunar prime more:
    https://tallbloke.wordpress.com/suggestions-41/#comment-156117

  22. oldbrew says:

    I suggest that 74 Jupiter-Saturn conjunctions take on average exactly, or almost exactly, 1470 anomalistic years.

    Using a pocket calculator with 8-digit display:
    74 * 19.865036 = 1470.0126 sidereal years

    Convert to anomalistic years:
    1470.0126 * (365.25636 / 365.25964) = 1469.9993

    https://www.merriam-webster.com/dictionary/anomalistic%20year

    That would fit with the ‘precise clock’ theory.

  23. Paul Vaughan says:

    Moderators: The (second) calculation-laden comment is still stuck in moderation. Please release.

    _

    O Pure Tune is Mmmm….

    Review wing to daze convention 4 con pure eye zone:

    25760.4349434063 = (1.00001743371442)*(0.999978614647502) / (1.00001743371442 – 0.999978614647502)
    111759.01908408 = (1.00002638193018)*(1.00001743371442) / (1.00002638193018 – 1.00001743371442)
    20934.9357937308 = (1.00002638193018)*(0.999978614647502) / (1.00002638193018 – 0.999978614647502)

    Strateghickally Exact

    Supple Owes seas sci11UNs in deep bell ihp phi’s hick call pro test lies trick teeNaged hick flee 4 UN times in 01 car ear.

    Knew Math Hick

    IT’s AI AB out explore ring weather last car’s 25685 is more mnemonic than pneumatic.

    4 View

    4V be leaves in dynamic stability less UN 4 geometrick peace-by-piece.

    No. UN knows nature rally el IT psych all triggers ran dome time line. Giant agree meant pile up as Miss managed fuel. Either way lever age spins easy (whether political, economic, legal, or whatever) on nature’s call UN door.

    Win-D’s’ the Phaser Cup!

    Spatiotemporal boundary conditions shape local material science, weather late tent sol ID door jet. 2310 – 2020 ices the road eye left:

    BCause knott right UNdoor lamp post EU C We’11 hide UN core keys 4 tune line-D years-long drive to 13*11*7*5*3*2.

    Prime Royal

    Well at last We C lost car times tables R listed AB O V-E.
    2036 – 2020 figures free express UN thanks Q D-vine.

  24. oldbrew says:

    This post turned up on ‘Before It’s News’ website. By far the most popular Talkshop post there in recent months seems to be the one about barometric pressure in London, for some unknown reason.

    https://beforeitsnews.com/v3/contributor/stories/?uid=48432
    – – –
    Conjunctions:
    36527 (36750-223) Neptune-Earth = 36750.008 y
    35502 (36750-1248) Saturn-Earth = 36749.98 y
    33652 (36750-3098) Jupiter-Earth = 36750.003 y

    223, 1248 and 3098 are from the synodics chart in the post.

  25. Paul Vaughan says:

    I’ve e-mailed TB the .gif animation created Friday Sept. 26, 2014:
    1470_Earth_Year_Jupiter_Saturn_Neptune.gif

    It’s based on an event-oriented objective function.
    Readers will observe that it differentiates 735 from 1470.

    The animation was posted several times at the Talkshop, but the web keeps tearing down concisely informative images and leaving up floods of words.

    TB will probably post the image in this discussion if/when he can spare a minute.

    If someone finds whatever Ulric Lyons wrote and I read (if I’m remembering the idea-trigger correctly from a bygone era), please link to it.

  26. Paul Vaughan says:

    SomeUN WHOever changed dot org (“server not found”) to dot cc (suits climate change ), but that doesUN AIwei’s’ fix IT:

    UNdreads of images I posted over the years vanished.

  27. oldbrew says:

    The S-N part of the gif jumps from 717 to 753. In the middle would be 735 years (20.5 S-N). Likewise J-N goes from 729 to 741 with 57.5 J-N in the middle. J-S shows 735 since the full D-O period is an even number of J-S i.e. 74. Of course 57.5 – 20.5 = 37 = 74 / 2.
    – – –
    Worth a look…

    A new mechanism for Dansgaard‐Oeschger cycles
    S. V. Petersen D. P. Schrag P. U. Clark
    First published: 05 March 2013
    Citations: 62

    Conclusion

    [27] We describe a new mechanism to explain DO cycles involving the formation and collapse of an ice shelf fringing eastern Greenland, potentially extending across the Denmark Strait. Our hypothesis explains the rapid transitions into and out of the interstadial using the ability of sea ice to rapidly expand and contract, whereas the slower‐changing phases are explained by the presence or absence of an ice shelf. The duration of the interstadial phase is set by the regrowth timescale of the ice shelf, and the duration of the stadial phase is determined by the timing of ice‐shelf removal, potentially due to subsurface warming. Existing proxy evidence from the Nordic Seas supports the idea of fluctuating ice volume in the region in time with DO cycles. Further proxy studies could explore the IRD and meltwater fluxes resulting from such an ice‐shelf break up. Modeling work using an active sea‐ice model could test the response of sea ice to the presence or absence of an ice shelf fringing eastern Greenland. A combination of these and other approaches can test the feasibility of this idea and illuminate the exact location of the proposed ice shelf.

    https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2012PA002364

  28. Paul Vaughan says:

    OB noted:
    1850/(J-S) ~= 36750

    a casual note for OB regarding Laskar’s secular “chaos” parameters:
    http://www.scholarpedia.org/article/Stability_of_the_solar_system

    45884.2272968667 = 1 / g_6 = 360*60*60/28.245
    49188.0648348793 = 1 / s_6 = 360*60*60/26.347855
    68753.3156498674 = 1 / s_3 = 360*60*60/18.85
    72337.575351641 = 1 / g_4 = 360*60*60/17.916
    72993.5229512813 = 1 / s_4 = 360*60*60/17.755
    74619.9907876555 = 1 / g_3 = 360*60*60/17.368
    173913.043478261 = 1 / g_2 = 360*60*60/7.452
    183829.787234043 = 1 / s_2 = 360*60*60/7.05

    36770.1677614079 = harmonic mean / 2 ~= 1851/(J-S)

    19.8650285042722 = 36770.1677614079 / 1851
    19.8650358655938 = 1/(J-S)
    -0.000037056674 = %error

    4th-coming there’11 be something more (there act chEU a11y R several) AB out chaos.

  29. Paul Vaughan says:

    The Dawn of Primorial Awareness

    Beyond the visible parties of 3 at 735 and 4 at 1470 IT’s’ acts see a11y big tent party at 25*1470 = 36750, with long list of hawks sea owl guests halving harmonic means.

    4 now those guests remain UNlisted buy old brass brains bought We R AIwei’s’ O penning up AB out forge oak cores to help EU C E-V orrery thing goes with 5*eye*1470 ware eye’s’ in toujours.

    “Wei’11 Eur. still a11y (V-E) kick IT out” — Heart
    ____

    Jovial Game of Celestial Hearts

    V = 1 / 0.615197263396975 ____ Cards Featured
    E = 1 / 1.00001743371442

    B = 1 / 1.59868955949705 = +1V-1E = beat __________________ Dealer’s Time Table
    R = 1 / 0.761766209372164 = +0.5V+0.5E = harmonic mean
    I = 1 / 0.380883104686082 = +1V+1E = axial period

    C = Challenger of Harmonic Means = Queen of Spades
    = Contestant Rocking Hearts 4 Calendar Mayan-D Count Roll
    ____
    NEV (Neptune Earth Venus)

    C = 1 / 164.791315640078 = +1N

    R+C = 1 / 0.758261063160093 = +0.5V+0.5E+1N ____ Splitting the Deck
    R-C = 1 / 0.765303911937069 = +0.5V+0.5E-1N

    2B = ⌊1(R-C)/B⌉B = harmonic of B slipping nearest 1(R-C) ____1 Whole
    |1(R-C)-2B| = |W-| = 1 / 17.9708017526566 = -1.5V+2.5E-1N __|Solar Core|
    4B = ⌊2(R-C)/B⌉B = harmonic of B slipping nearest 2(R-C) ____2 Halves
    |2(R-C)-4B| = |H-| = 1 / 8.9854008763283 = -3V+5E-2N __|Solar Opposition|
    8B = ⌊4(R-C)/B⌉B = harmonic of B slipping nearest 4(R-C) ____4 Quarters
    |4(R-C)-8B| = |Q-| = 1 / 4.49270043816415 = -6V+10E-4N __|Solar Rights|
    ____
    SEV (Saturn Earth Venus)

    C = 1 / 29.4474984673838 = +1S

    R+C = 1 / 0.742557275823122 = +0.5V+0.5E+1S ____ Splitting the Deck
    R-C = 1 / 0.781995351599453 = +0.5V+0.5E-1S

    2B = ⌊1(R-C)/B⌉B = harmonic of B slipping nearest 1(R-C) ____1 Whole
    |1(R-C)-2B| = |W-| = 1 / 36.0290781181822 = -1.5V+2.5E-1S __|Solar Core|
    4B = ⌊2(R-C)/B⌉B = harmonic of B slipping nearest 2(R-C) ____2 Halves
    |2(R-C)-4B| = |H-| = 1 / 18.0145390590911 = -3V+5E-2S __|Solar Opposition|
    8B = ⌊4(R-C)/B⌉B = harmonic of B slipping nearest 4(R-C) ____4 Quarters
    |4(R-C)-8B| = |Q-| = 1 / 9.00726952954554 = -6V+10E-4S __|Solar Rights|
    ____
    JEV (Jupiter Earth Venus)

    C = 1 / 11.8626151546089 = +1J

    R+C = 1 / 0.715800570263949 = +0.5V+0.5E+1J ____ Splitting the Deck
    R-C = 1 / 0.814040387734913 = +0.5V+0.5E-1J

    2B = ⌊1(R-C)/B⌉B = harmonic of B slipping nearest 1(R-C) ____1 Whole
    |2B-1(R-C)| = |W-| = 1 / 44.2784629967673 = +1.5V-2.5E+1J __|Solar Core|
    4B = ⌊2(R-C)/B⌉B = harmonic of B slipping nearest 2(R-C) ____2 Halves
    |4B-2(R-C)| = |H-| = 1 / 22.1392314983836 = +3V-5E+2J __|Solar Opposition|
    8B = ⌊4(R-C)/B⌉B = harmonic of B slipping nearest 4(R-C) ____4 Quarters
    |8B-4(R-C)| = |Q-| = 1 / 11.0696157491918 = +6V-10E+4J __|Solar Rights|

    2B = ⌊1(R+C)/B⌉B = harmonic of B slipping nearest 1(R+C) ____1 Whole
    |1(R+C)-2B| = |W+| = 1 / 6.84872659292026 = -1.5V+2.5E+1J __|Galactic Core|
    4B = ⌊2(R+C)/B⌉B = harmonic of B slipping nearest 2(R+C) ____2 Halves
    |2(R+C)-4B| = |H+| = 1 / 3.42436329646013 = -3V+5E+2J __|Galactic Opposition|
    ____
    JSEV (Jupiter Saturn Earth Venus)

    C = 1 / 61.0464822565173 = +1(2S-J)

    R+C = 1 / 0.752377692917738 = +0.5V+0.5E+1(2S-J) ____ Splitting the Deck
    R-C = 1 / 0.771391995073592 = +0.5V+0.5E-1(2S-J)

    2B = ⌊1(R+C)/B⌉B = harmonic of B slipping nearest 1(R+C) ____1 Whole
    |1(R+C)-2B| = |W+| = 1 / 12.8049070490538 = -1.5V+2.5E+1(2S-J) __|Galactic Core|
    4B = ⌊2(R+C)/B⌉B = harmonic of B slipping nearest 2(R+C) ____2 Halves
    |2(R+C)-4B| = |H+| = 1 / 6.4024535245269 = -3V+5E+2(2S-J) __|Galactic Opposition|
    8B = ⌊4(R+C)/B⌉B = harmonic of B slipping nearest 4(R+C) ____4 Quarters
    |4(R+C)-8B| = |Q+| = 1 / 3.20122676226345 = -6V+10E+4(2S-J) __|Galactic Rights|

    Eak Win Knocks D-View

    JSEV
    12.8043434917747 = 2*2*(7*5*3)^(1/4)
    6.40217174588736 = 2*(7*5*3)^(1/4)
    3.20108587294368 = (7*5*3)^(1/4)

    JEV
    44.2783394595719 = 2*2*(13*11*7*5*3)^(1/4)
    22.1391697297859 = 2*(13*11*7*5*3)^(1/4)
    11.069584864893 = (13*11*7*5*3)^(1/4)
    No. a11y Lukers:
    6.85627857093348 = 2 / ( 1/(2*(7*5*3)^(1/4)) + 1/(2*(13*11*7*5*3)^(1/4)) + 1/((13*11*7*5*3)^(1/4)) )

    SEV
    36.0268882455119 = 1 / (1 / 25.6086869835494 – 1 / 88.5566789191437)
    18.013444122756 = 1 / (1 / 12.8043434917747 – 1 / 44.2783394595719)
    9.00672206137798 = 1 / (1 / 6.40217174588736 – 1 / 22.1391697297859)

    DO V-E EU

    4 SEV & JSEV the dealers cards (4 their AB O V-E) F(IT) UN order of magnitude better D-spy IT looks O similar.

    Informatively We C 4 JEV the casino’s’ primorial F(IT) DOmin8’s’ O V-E R the deal R (margin a11y for 22.14 and buy order of magnitude 4 6.85).

    D-eye 4 Rent Values

    Norm A11y eye’V-E No. attraction to mess see events, but C well that 5*1470 and 5^2*1470 R attractive enough 4 explore a tory except shhUN.

    Primorial Matrix Ski 4 the 9*11*IX*XI

    Peace-by-piece 15 the O REM general eyes slip psych AI tool can reduce these messy event series 4 long run centrAI limIT buy 11*7*5*3*2 = 2310 = 2020 + 290 The O REM, ware-code 15 = 5 team.

  30. Paul Vaughan says:

    IT’s Prime Or Eye AI Or Eye O Nor Rig ABeg DeepUr. to Demon State EU ran US

    4 precursors take the “Bait” ….which EU R AB out 2 C is just as primorial as “And Switch” UNdoor “Bait”.

    ⌊ 321.183589283115 / 19.8650360864628 ⌉ = ⌊16.1682862233504⌉ = 16
    321.183589283115 / 16 = 20.0739743301947
    i.e. harmonic of 321.183589283115 nearest 19.8650360864628 is 321.183589283115 / 16 = 20.0739743301947
    1908.55545325512 = (20.0739743301947)*(19.8650360864628) / (20.0739743301947 – 19.8650360864628)

    ⌊ 1908.55545325512 / 321.183589283115 ⌉ = ⌊5.94225706710308⌉ = 6
    1908.55545325512 / 6 = 318.092575542521
    i.e. harmonic of 1908.55545325512 nearest 321.183589283115 is 1908.55545325512 / 6 = 318.092575542521
    33052.6240615815 = (321.183589283115)*(318.092575542521) / (321.183589283115 – 318.092575542521)

    ⌊ 954.277726627562 / 321.183589283115 ⌉ = ⌊2.97112853355154⌉ = 3
    954.277726627562 / 3 = 318.092575542521
    i.e. harmonic of 954.277726627562 nearest 321.183589283115 is 954.277726627562 / 3 = 318.092575542521
    33052.6240615815 = (321.183589283115)*(318.092575542521) / (321.183589283115 – 318.092575542521)

    ⌊ 982.648221793721 / 321.183589283115 ⌉ = ⌊3.0594596193006⌉ = 3
    982.648221793721 / 3 = 327.549407264574
    i.e. harmonic of 982.648221793721 nearest 321.183589283115 is 982.648221793721 / 3 = 327.549407264574
    16526.3120307897 = (327.549407264574)*(321.183589283115) / (327.549407264574 – 321.183589283115)
    33052.6240615795 = 2*16526.3120307897

    Moon and Venus were mysteriously framed by the title.

    33051.8867924528 = (36750)*(30030)/((36750+30030)/2) = harmonic mean
    33051.8867924528 = (1470*5^2)*(13*11*7*5*3*2)/((1470*5^2+13*11*7*5*3*2)/2)

    “Sol ID go a11-D: hellO time BOM ready 2 go “O F***!” ” — Math EU Good

  31. oldbrew says:

    *the periodicity of the DO cycle, that has less than 1% probability of being due to chance*
    S. Rahmstorf (author of DO study, quoted earlier).
    – – –
    He’s at the forefront of climate alarm propaganda unfortunately, but the DO study was back in 2003.
    https://en.wikipedia.org/wiki/Stefan_Rahmstorf

  32. Paul Vaughan says:

    I had correspondence with him about DO years ago. I know his perspective, what’s right with it, what’s wrong with it, and how it changed over time. Many of the other papers to which you have regularly linked in recent years were covered a decade ago in early discussion. There’s a gap in what we each know about what the other understands and does not understand.

    The biggest gap in a broader sense (civilization-level, not just you and I) is something I may bring up again soon. Meanwhile we have other ground to cover. It’s never wise to get stuck on 1 thing.

    OB: Please contact me by e-mail. Thank you.

  33. Paul Vaughan says:

    Pen DO Gone

    Putt in up 4 speciAI focUS some sub tall points AB out last car meth ODs.

    g_3 & g_4 combine 4 2.4Ma on won side.
    Harmonics down the other side close in DO.

    2364963.50364963 = (74619.9907876555)*(72337.575351641) / (74619.9907876555 – 72337.575351641)
    36730.5294184333 = (74619.9907876555)*(72337.575351641) / (74619.9907876555 + 72337.575351641)
    73461.0588368666 = (74619.9907876555)*(72337.575351641)/((74619.9907876555+72337.575351641)/2)

    Placed in broader context:

    45884.2272968667 = 1 / g_6
    49188.0648348793 = 1 / s_6
    68753.3156498674 = 1 / s_3
    72337.575351641 = 1 / g_4
    72993.5229512813 = 1 / s_4
    74619.9907876555 = 1 / g_3
    173913.043478261 = 1 / g_2
    183829.787234043 = 1 / s_2

    36750.3379015986 = 1/(g_6+s_6+s_3+5*g_4+s_4+5*g_3+g_2+s_2)

    4-most guests at The Party IT F(IT)’s’ better than 36750:
    1. The JSN EV cycles (see AI less tee AI hearts AB O V-E) hit the 5th harmonic.
    2. JSN hit harm O nuke 5^2 (“just beat IT” No. acts see a11).

    Slip UN on Jewel Eye in Ear 4 Ref 4 UNs

    ⌊ 1.00001743371442 / 1 ⌉ = ⌊1.00001743371442⌉ = 1
    1.00001743371442 / 1 = 1.00001743371442
    i.e. harmonic of 1.00001743371442 nearest 1 is 1.00001743371442 / 1 = 1.00001743371442
    57361.1227907044 = (1.00001743371442)*(1) / (1.00001743371442 – 1)

    ⌊ 1 / 0.999978614647502 ⌉ = ⌊1.00002138580984⌉ = 1
    1 / 1 = 1
    i.e. harmonic of 1 nearest 0.999978614647502 is 1 / 1 = 1
    46759.9781077872 = (1)*(0.999978614647502) / (1 – 0.999978614647502)

    ⌊ 1.00002638193018 / 1 ⌉ = ⌊1.00002638193018⌉ = 1
    1.00002638193018 / 1 = 1.00002638193018
    i.e. harmonic of 1.00002638193018 nearest 1 is 1.00002638193018 / 1 = 1.00002638193018
    37905.7322539203 = (1.00002638193018)*(1) / (1.00002638193018 – 1)

    Miss directed green dreams putt last car mystery fact tour in the line of Hale phi ‘or’.

    Vein US so low side door real state US:
    1470: AB sent
    5*1470: PR saint
    5*5*1470: AB sent

  34. Paul Vaughan says:

    To Clear Riff Phi Vein US Point 5

    59737.4859872943 = 36750.3379015986 / 0.615197263396975
    11947.4971974589 = 7350.06758031972 / 0.615197263396975
    2389.49943949177 = 1470.01351606394 / 0.615197263396975

    1470.01351606394 = 36750.3379015986 / 5 / 5

    ⌊ 1470.01351606394 / 0.615197263396975 ⌉ = ⌊2389.49943949177⌉ = 2389
    1470.01351606394 / 2389 = 0.615325875288382
    i.e. harmonic of 1470.01351606394 nearest 0.615197263396975 is 1470.01351606394 / 2389 = 0.615325875288382
    2943.32654962006 = (0.615325875288382)*(0.615197263396975) / (0.615325875288382 – 0.615197263396975)

    1471.66327481003 = 2943.32654962006 / 2
    __

    59736.9367299768 = 36750 / 0.615197263396975
    11947.3873459954 = 7350 / 0.615197263396975
    2389.47746919907 = 1470 / 0.615197263396975

    1470 = 36750/5/5

    ⌊ 1470 / 0.615197263396975 ⌉ = ⌊2389.47746919907⌉ = 2389
    1470 / 2389 = 0.615320217664295
    i.e. harmonic of 1470 nearest 0.615197263396975 is 1470 / 2389 = 0.615320217664295
    3078.73262369749 = (0.615320217664295)*(0.615197263396975) / (0.615320217664295 – 0.615197263396975)

    1539.36631184874 = 3078.73262369749/2
    IT’s knot as tie IT.
    __

    Word less con pare eyes zone 4 those who can fall O.

  35. oldbrew says:

    Venus, Mercury and 980 years (= 2/3 of 1470):

    1593 V = 4069 Me = 2476 V-Me
    2476/4 = 619 = 980y/4 i.e.:
    619 V-Me = 245 years (1/4 of 980, 1/6 of 1470)

    Earth-Mars in 980 years = 459 (521 Mars) or 3/4 of 612
    Venus-Earth equivalent is 613 (1593 – 980)

    These are the neighbour pairs of the inner solar system.

  36. Paul Vaughan says:

    No. Trees Pass Sing

    It’s not just about beats.

    Also look at axial periods (left as a reader exercise) and jovian splits of harmonic mean = 2/(Earth+Venus) slipping on the beat = 1/(Venus-Earth).
    ___

    7350.06758031972 = 5 * 1470.01351606394 = 36750.3379015986 / 5 / 5

    818.00107546489 = 7350.06758031972 / 8.9854008763283
    408.007529707536 = 7350.06758031972 / 18.0145390590912
    331.992895998055 = 7350.06758031972 / 22.1392314983835

    574.003977706564 = 7350.06758031972 / 12.8049070490538
    ___

    7350 = 5*1470/5 = 36750/5/5

    817.993554340274 = 7350 / 8.9854008763283
    408.003778275457 = 7350 / 18.0145390590912
    331.989843483801 = 7350 / 22.1392314983835

    573.998700017357 = 7350 / 12.8049070490538
    ___

    These slip cycles fit (.01% threshhold ducked) at 7350 and 36750 but not at 980 & 1470.

    Clearly differentiated aggregation criteria are piling up for concise taxonomic summary.

  37. Paul Vaughan says:

    99 Phi’11’eye’V-E

    Communication style change looks likely, but 2 old messages will be released as they were written (one 3 months ago and one a few weeks ago).

    They will need to be read with that in mind. On the record let them reflect the temporal context in which they were written rather than the temporal context in which they were released.

    Meanwhile here are a few more bull’s eyes for the equinox.

    21.1746788367349 = (84.016845922161)*(16.9122914926352) / (84.016845922161 – 16.9122914926352)

    ⌊ 21.1746788367349 / 19.8650360864628 ⌉ = ⌊1.06592702598535⌉ = 1
    21.1746788367349 / 1 = 21.1746788367349
    i.e. harmonic of 21.1746788367349 nearest 19.8650360864628 is 21.1746788367349 / 1 = 21.1746788367349
    321.183589283115 = (21.1746788367349)*(19.8650360864628) / (21.1746788367349 – 19.8650360864628)

    ⌊ 321.183589283115 / 16.9122914926352 ⌉ = ⌊18.9911337220613⌉ = 19
    321.183589283115 / 19 = 16.9043994359534
    i.e. harmonic of 321.183589283115 nearest 16.9122914926352 is 321.183589283115 / 19 = 16.9043994359534
    36225.3012487524 = (16.9122914926352)*(16.9043994359534) / (16.9122914926352 – 16.9043994359534)

    36224.2646260243 = (173804.240903943)*(29976.553895592) / (173804.240903943 – 29976.553895592)

    29976.553895592 = (179.333323110834)*(178.266850068779) / (179.333323110834 – 178.266850068779)
    29977.2637721539 = (173804.240903943)*(36225.3012487524) / (173804.240903943 + 36225.3012487524)

    Last cart able V: g_2 = 1 / 173804.240903943

    __

    Review (to help understand 2 fits above with less than .01%error)

    ⌊ 18.6129709123853 / 8.84735293159855 ⌉ = ⌊2.10378980654299⌉ = 2
    18.6129709123853 / 2 = 9.30648545619264
    i.e. harmonic of 18.6129709123853 nearest 8.84735293159855 is 18.6129709123853 / 2 = 9.30648545619264
    179.333323110834 = (9.30648545619264)*(8.84735293159855) / (9.30648545619264 – 8.84735293159855)

    23.3931082603448 = (61.0464822565173)*(16.9122914926352) / (61.0464822565173 – 16.9122914926352)

    ⌊ 19.8650360864628 / 11.6965541301724 ⌉ = ⌊1.69836653303036⌉ = 2
    19.8650360864628 / 2 = 9.93251804323141
    i.e. harmonic of 19.8650360864628 nearest 11.6965541301724 is 19.8650360864628 / 2 = 9.93251804323141
    65.8581963269421 = (11.6965541301724)*(9.93251804323141) / (11.6965541301724 – 9.93251804323141)

    ⌊ 65.8581963269421 / 9.93251804323141 ⌉ = ⌊6.63056397585119⌉ = 7
    65.8581963269421 / 7 = 9.40831376099174
    i.e. harmonic of 65.8581963269421 nearest 9.93251804323141 is 65.8581963269421 / 7 = 9.40831376099174
    178.266850068781 = (9.93251804323141)*(9.40831376099174) / (9.93251804323141 – 9.40831376099174)

    __

    Readers: Develop your understanding of split harmonic means. Otherwise you will be totally lost trying to algebraically sense the attractors. The cost: failing to see the forest for the trees ….where trees represent events and the forest is the dynamic attractor (of events considered collectively) in aggregate.

    There’s a monstrous amount of slip cycle taxonomy to summarize.
    Only glimpses of the iceberg are posted.

    Complete algebraic decode is entirely feasible at AI levels.
    No. doubt some have long possessed IT.

    Divine Define Sharp Pen

    Tip: Don’t just look at integers. Look at 1/2 & 1/5 — i.e. things ending in .2 and .5. Bilateral and pentagonal symmetry. 2 & 5 have special properties (previously outlined in Suggestions).

    Here are a few examples for JSN EV:
    81.800107546489 = 735.006758031972 / 8.9854008763283
    40.8007529707536 = 735.006758031972 / 18.0145390590912
    33.1992895998055 = 735.006758031972 / 22.1392314983835
    114.800795541313 = 735.006758031972 / 6.40245352452692
    These are all ~1/5 = 0.2 from a whole number.
    This is systematic ….and it’s primorially rooted.

    A few more:
    17.4966520098346 = 1470.01351606394 / 84.016845922161
    2389.49943949177 = 1470.01351606394 / 0.615197263396975
    919.511550776886 = 1470.01351606394 / 1.59868955949705
    7573.5115507698 = 1470.01351606394 / 0.194099329777153
    3859.48732820666 = 1470.01351606394 / 0.380883104686082
    All opposed — i.e. ~1/2 = 0.5 from whole.
    The primorial roots are there for U too, as previously outlined.

    Note: There have been a few typos (e.g. “/5” & “1/” where they shouldn’t appear) scattered sparsely through my recent comments, but alert readers will have no trouble.

    I’ll share 1 more key primorial root soon, in one of those nostalgia-styled messages to mark for any future readers how rapidly the broader pyscho-social context changed over less than an Earth season.

  38. Paul Vaughan says:

    Moderators: Calculation-laden comment is queued for moderation.

  39. Paul Vaughan says:

    Adding 2 more notes for the equinox.
    __

    33052.0234507106 = (36750.3379015986)*(30030)/((36750.3379015986+30030)/2)
    33052.6240615815

    -0.001817135214 = %error

    __

    36301.5839003812 = (45884.2272968667)*(30030)/((45884.2272968667+30030)/2)
    36301.5839003812 = (45884.2272968667)*(13*11*7*5*3*2)/((45884.2272968667+13*11*7*5*3*2)/2)

    45885.4350229255 = (173804.240903943)*(36301.5839003812) / (173804.240903943 – 36301.5839003812)
    173821.570729874 = (45884.2272968667)*(36301.5839003812) / (45884.2272968667 – 36301.5839003812)

    0.002632115936 = %error 46ka
    0.009970887845 = %error 173ka

    Primorial mystery story star tall start a11 stir tell

  40. Paul Vaughan says:

    Peace-by-Piece

    Alert readers reviewing my comments from the last few weeks have the minimal info to primorially construct g_2 & g_5 from base lunar cycles.

  41. oldbrew says:

    On the solar simulator (link below), the Sun will be in almost the same position relative to the solar system barycentre every 1470 years. Jupiter, Saturn and Neptune will be most of the reason for this, i.e. their positions will also be similar every 1470 years.

    Any slight deviation between positions mostly relates to where Uranus is relative to the Sun, which won’t be the same as 1470 years earlier, or later, than before. For example, if the Sun is slightly further to the left, Uranus will be over to the right – and vice versa.

    The simulator spans 3000 years. Anyone can download it and input dates etc.

    Arnholm’s Solar Simulator 2
    http://arnholm.org/astro/sun/sc24/sim2/index.html

    Simulator view:

  42. Paul Vaughan says:

    Cars 10 was Auriga-lore con tribute tor wei back in bar eye sent tor intro duct tory daze (13 ears a go), but E-V UN so we DOn’t halve a 11ist of SIM U-late tor mod 11 parameters 4 sense IT IV IT test sing.

    1/2 = 0.5

    17.4966520098346 = 1470.01351606394 / 84.016845922161

    Lost UN. Hole numb brr sov. jewel eye yen nears.

  43. Paul Vaughan says:

    ⌊ 980.009010709296 / 19.8650360864628 ⌉ = ⌊49.3333617137062⌉ = 49
    980.009010709296 / 49 = 20.0001838920265
    i.e. harmonic of 980.009010709296 nearest 19.8650360864628 is 980.009010709296 / 49 = 20.0001838920265
    2939.77673624844 = (20.0001838920265)*(19.8650360864628) / (20.0001838920265 – 19.8650360864628)
    1469.88836812422 = 2939.77673624844 / 2

    ⌊ 980.009010709296 / 9.93251804323141 ⌉ = ⌊98.6667234274123⌉ = 99
    980.009010709296 / 99 = 9.89908091625552
    i.e. harmonic of 980.009010709296 nearest 9.93251804323141 is 980.009010709296 / 99 = 9.89908091625552
    2940.52775177142 = (9.93251804323141)*(9.89908091625552) / (9.93251804323141 – 9.89908091625552)
    1470.26387588571 = 2940.52775177142 / 2

    ⌊ 980.009010709296 / 4.9662590216157 ⌉ = ⌊197.333446854825⌉ = 197
    980.009010709296 / 197 = 4.9746650289812
    i.e. harmonic of 980.009010709296 nearest 4.9662590216157 is 980.009010709296 / 197 = 4.9746650289812
    2939.02610424877 = (4.9746650289812)*(4.9662590216157) / (4.9746650289812 – 4.9662590216157)
    1469.51305212439 = 2939.02610424877 / 2

    1469.88836812425 = (1470.26387588571)*(1469.51305212439)/((1470.26387588571+1469.51305212439)/2)

    __

    ⌊ 490.004505354648 / 4.9662590216157 ⌉ = ⌊98.6667234274123⌉ = 99
    490.004505354648 / 99 = 4.94954045812776
    i.e. harmonic of 490.004505354648 nearest 4.9662590216157 is 490.004505354648 / 99 = 4.94954045812776
    1470.26387588571 = (4.9662590216157)*(4.94954045812776) / (4.9662590216157 – 4.94954045812776)

    ⌊ 490.004505354648 / 9.93251804323141 ⌉ = ⌊49.3333617137062⌉ = 49
    490.004505354648 / 49 = 10.0000919460132
    i.e. harmonic of 490.004505354648 nearest 9.93251804323141 is 490.004505354648 / 49 = 10.0000919460132
    1469.88836812422 = (10.0000919460132)*(9.93251804323141) / (10.0000919460132 – 9.93251804323141)

    ⌊ 490.004505354648 / 19.8650360864628 ⌉ = ⌊24.6666808568531⌉ = 25
    490.004505354648 / 25 = 19.6001802141859
    i.e. harmonic of 490.004505354648 nearest 19.8650360864628 is 490.004505354648 / 25 = 19.6001802141859
    1470.07609802557 = (19.8650360864628)*(19.6001802141859) / (19.8650360864628 – 19.6001802141859)

    1470.07609802558 = (1470.26387588571)*(1469.88836812422)/((1470.26387588571+1469.88836812422)/2)

  44. Paul Vaughan says:

    Call UN Door Primorial Links UN Year

    Communication style is switching to crude (4 now).

    ⌊ 1470 / 19.8650360864628 ⌉ = ⌊73.9993621759259⌉ = 74
    1470 / 74 = 19.8648648648649
    i.e. harmonic of 1470 nearest 19.8650360864628 is 1470 / 74 = 19.8648648648649
    2304710.7497202 = (19.8650360864628)*(19.8648648648649) / (19.8650360864628 – 19.8648648648649)
    576177.687430051 = 2304710.7497202 / 4

    19.8643454852672 = 4/(1/(2*(13*11*7*5*3)^(1/4))+1/(2*(7*5*3)^(1/4)))
    571394.811376846 = (19.8650360864628)*(19.8643454852672) / (19.8650360864628 – 19.8643454852672)
    2285579.24550738 = 4 * 571394.811376846

    19.8648634316622 = (2285579.24550738)*(19.8650360864628) / (2285579.24550738 + 19.8650360864628)
    1469.999893943 = 74 * 19.8648634316622
    0.999999927852383 = 1469.999893943 / 1470
    365.249973648083 = 365.25 * 0.999999927852383

    47482.5 = 130 * 365.25
    47482.4965742508 = 130 * 365.249973648083

    Net-search “365.249973” sea turns see cue lore trail:

    47478.7405787809 = (49188.0648348793)*(45884.2272968667)/((49188.0648348793+45884.2272968667)/2)

    Day see Luke UNca11 US sea:
    “Here ayaM” — Bo s-g ‘or’

    Dawns-goreD-O‘s car buy psych all 4 pneumatic mnemonic Mayan-D poll ace

    1.59868955949705 = (1.00001743371442)*(0.615197263396975) / (1.00001743371442 – 0.615197263396975)
    0.380883104686082 = (1.00001743371442)*(0.615197263396975) / (1.00001743371442 + 0.615197263396975)
    0.761766209372164 = (1.00001743371442)*(0.615197263396975)/((1.00001743371442+0.615197263396975)/2)

    0.771391995073592 = (61.0464822565173)*(0.761766209372164) / (61.0464822565173 – 0.761766209372164)
    ⌊ 1.59868955949705 / 0.771391995073592 ⌉ = ⌊2.07247361873975⌉ = 2
    1.59868955949705 / 2 = 0.799344779748523
    i.e.harmonic of 1.59868955949705 nearest 0.771391995073592 is 1.59868955949705 / 2 = 0.799344779748523
    22.0589172625393 = (0.799344779748523)*(0.771391995073592) / (0.799344779748523 – 0.771391995073592)

    ⌊ 22.0589172625393 / 0.380883104686082 ⌉ = ⌊57.9151897029402⌉ = 58
    22.0589172625393 / 58 = 0.380326159698953
    i.e.harmonic of 22.0589172625393 nearest 0.380883104686082 is 22.0589172625393 / 58 = 0.380326159698953
    260.097158331813 = (0.380883104686082)*(0.380326159698953) / (0.380883104686082 – 0.380326159698953)

  45. Paul Vaughan says:

    4 the Love of J-S:
    Wan Over Phi Route 5,
    Polar Motion, Mayan Pregnant 3s,
    Chandler Wobble, QBO (Quasibiennial Oscillation),
    and the Silver Disc Rhymin’ Ant (√8) Four Nine Eleven

    396 = 4*9*11 = 18*22 = ⌊1/SEV⌉*⌊1/JEV⌉ (Jupiter-Saturn-Earth-Venus discretion )

    6.40941557613347 = 1/22 + 9/√2
    6.40941557613347 = 18*(1/396+1/√8)

    Draconic (Nodal) Lunar Month & 1/2 (node-crossing)
    0.0745030006844627 = 27.212221 / 365.25
    0.0372515003422313 = 0.0745030006844627 / 2

    Tropical Year & 1/2 (semi-annual)
    0.999978614647502 = 365.242189 / 365.25
    0.499989307323751 = 0.999978614647502 / 2

    ⌊ 0.999978614647502 / 0.0372515003422313 ⌉ = ⌊26.843982268114⌉ = 27
    0.999978614647502 / 27 = 0.0370362449869445
    i.e. harmonic of 0.999978614647502 nearest 0.0372515003422313 is 0.999978614647502 / 27 = 0.0370362449869445
    6.40939079526111 = (0.0372515003422313)*(0.0370362449869445) / (0.0372515003422313 – 0.0370362449869445)

    0.000386633818 = %error
    0.000208117405 = log scale %error
    _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __

    19.864995192266 = √(396-Φ√5)
    19.8650360864628 = 1/(J-S)

    -0.000205860169 = %error
    -0.000068873554 = log scale %error
    _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __

    “How do you think he does it? Eye don’t know.
    What makes him so good?”
    — The Who
    _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __ _ __

    1.18486285365318 = 1/(1-1/18/(1/396+1/√8))
    1.18486285365318 = 1/(1-1/(1/22+9/√2))

    2.36972570730636 = 2/(1-1/18/(1/396+1/√8))
    2.36972570730636 = 2/(1-1/(1/22+9/√2))

    1.18483283087588 = 1/(1/0.999978614647502-1/(1/22+9/√2))
    1.18483283087588 = 1/(1/0.999978614647502-1/18/(1/396+1/√8))

    2.36966566175177 = 2/(1/0.999978614647502-1/(1/22+9/√2))
    2.36966566175177 = 2/(1/0.999978614647502-1/18/(1/396+1/√8))

    ⌊ 0.499989307323751 / 0.0372515003422313 ⌉ = ⌊13.421991134057⌉ = 13
    0.499989307323751 / 13 = 0.0384607159479808
    harmonic of 0.499989307323751 nearest 0.0372515003422313 is 0.499989307323751 / 13 = 0.0384607159479808
    1.18483367770519 = (0.0384607159479808)*(0.0372515003422313) / (0.0384607159479808 – 0.0372515003422313)

    ⌊ 0.999978614647502 / 0.0745030006844627 ⌉ = ⌊13.421991134057⌉ = 13
    0.999978614647502 / 13 = 0.0769214318959617
    harmonic of 0.999978614647502 nearest 0.0745030006844627 is 0.999978614647502 / 13 = 0.0769214318959617
    2.36966735541038 = (0.0769214318959617)*(0.0745030006844627) / (0.0769214318959617 – 0.0745030006844627)

    -0.000071472420 = %error
    -0.000082842631 = log scale %error

  46. Paul Vaughan says:

    DO View Super-Tight Ext. Ended 5:1 Fit:
    Saturn Secular, Jupiter-Earth-Venus, Earth-Moon

    683093.88377724 = (49188)*(45884) / (49188 – 45884)
    341546.94188862 = 683093.88377724 / 2

    Apse (tight split doesn’t differentiate be low nail-wholes)
    8.84735293159855
    8.84758211731794 = (341546.94188862)*(8.84735293159855) / (341546.94188862 – 8.84735293159855)
    8.84712375775239 = (341546.94188862)*(8.84735293159855) / (341546.94188862 + 8.84735293159855)
    17.6942475155048 = (341546.94188862)*(8.84735293159855)/((341546.94188862+8.84735293159855)/2)

    Node-Crossing (looser split italicizes well-differentiated below UNfit)
    9.30648545619264
    9.30837343984792 = (45884)*(9.30648545619264) / (45884 – 9.30648545619264)
    9.30459823824782 = (45884)*(9.30648545619264) / (45884 + 9.30648545619264)
    18.6091964764956 = (45884)*(9.30648545619264)/((45884+9.30648545619264)/2)

    Review Link

    None fits wholes in DO ….UNless:

    1660.30600629444 = 36750.3379015986 / 9.30648545619264 / 2.37841423000544
    1659.96925244342 = 36750.3379015986 / 9.30837343984792 / 2.37841423000544
    1660.64276014546 = 36750.3379015986 / 9.30459823824782 / 2.37841423000544
    830.321380072732 = 36750.3379015986 / 18.6091964764956 / 2.37841423000544

    166.030600629444 = 36750.3379015986 / 10 / 9.30648545619264 / 2.37841423000544
    165.996925244342 = 36750.3379015986 / 10 / 9.30837343984792 / 2.37841423000544
    166.064276014546 = 36750.3379015986 / 10 / 9.30459823824782 / 2.37841423000544
    83.0321380072732 = 36750.3379015986 / 10 / 18.6091964764956 / 2.37841423000544

    1660.01241840139 = 36750.3379015986 / 8.84735293159855 / 2.50228427928455
    1659.96941782391 = 36750.3379015986 / 8.84758211731794 / 2.50228427928455
    1660.05541897886 = 36750.3379015986 / 8.84712375775239 / 2.50228427928455
    830.027709489432 = 36750.3379015986 / 17.6942475155048 / 2.50228427928455

    166.001241840139 = 36750.3379015986 / 10 / 8.84735293159855 / 2.50228427928455
    165.996941782391 = 36750.3379015986 / 10 / 8.84758211731794 / 2.50228427928455
    166.005541897886 = 36750.3379015986 / 10 / 8.84712375775239 / 2.50228427928455
    83.0027709489432 = 36750.3379015986 / 10 / 17.6942475155048 / 2.50228427928455

    Scaling factors nail LNC & LAC to system frame primorially:

    2.37841423000544 = 2^(5/4) = 2√√2
    = 22.1391697297859 / 9.30837423123527

    2.50228427928455 = φ(11*13/25)^(1/4) = φ√√11√√13/√5
    = 22.1391697297859 / 8.84758375100207

    Primorial’Or’igins

    1/JEV
    22.1391697297859 = 2*(13*11*7*5*3)^(1/4)

    1/LNC & 2/LNC (node-crossings) offset by Saturn secular (see above + review-link)
    18.6167484624705 = (13*11*7*5*3*2*2*2)^(1/4)
    9.30837423123527 = (13*11*7*5*3/2)^(1/4)

    1/LAC offset by Saturn secular (see above + review-link)
    8.84758375100207 = 2*Φ√5*(7*5*3)^(1/4)

    Summary:
    Saturn secular periods gear Jupiter-Venus–Earth-Moon spatio-tempo-aggregate primorially.

    Who seize why they ca11 IT a pen DO won?
    Lunar AIignment moves in DO/2 steps of 1/5 = 0.2 at 735.006758031972 year intervals.

    33.1993850488683 = 36750.3379015986 / 50 / 9.30837343984792 / 2.37841423000544

    33.2002483680278 = 36750.3379015986 / 50 / 8.84735293159855 / 2.50228427928455
    33.1993883564782 = 36750.3379015986 / 50 / 8.84758211731794 / 2.50228427928455
    33.2011083795773 = 36750.3379015986 / 50 / 8.84712375775239 / 2.50228427928455

    735.006758031972 = 36750.3379015986 / 50

    Cryptic Triage
    That’s quick and dirty to fit fragmented time and space, but the elements are all outlined precisely.

  47. Paul Vaughan says:

    Moderators: Primorial DO-lunar alignment scaling derivation is cued for moderation (calculation-laden comment).

  48. Paul Vaughan says:

    36750.3379015986 = 8*60*60*360 / (1*28.245+1*26.347855+1*18.85+5*17.916+1*17.755+5*17.368+1*7.452+1*7.05)

    36750.3379015986 = 8 / (1/45884.2272968667+1/49188.0648348793+1/68753.3156498674+5/72337.575351641+1/72993.5229512813+5/74619.9907876555+1/173913.043478261+1/183829.787234043)

    36750.3379015986 = harmean(45884.2272968667/1, 49188.0648348793/1, 68753.3156498674/1, 72337.575351641/5, 72993.5229512813/1, 74619.9907876555/5, 173913.043478261/1, 183829.787234043/1)

  49. Paul Vaughan says:

    8*1 = 36750.3379015986*1*28.245/60/60/360 + 36750.3379015986*1*26.347855/60/60/360 + 36750.3379015986*1*18.85/60/60/360 + 36750.3379015986*5*17.916/60/60/360 + 36750.3379015986*1*17.755/60/60/360 + 36750.3379015986*5*17.368/60/60/360 + 36750.3379015986*1*7.452/60/60/360 + 36750.3379015986*1*7.05/60/60/360

    1 = (36750.3379015986*1*28.245/60/60/360 + 36750.3379015986*1*26.347855/60/60/360 + 36750.3379015986*1*18.85/60/60/360 + 36750.3379015986*5*17.916/60/60/360 + 36750.3379015986*1*17.755/60/60/360 + 36750.3379015986*5*17.368/60/60/360 + 36750.3379015986*1*7.452/60/60/360 + 36750.3379015986*1*7.05/60/60/360) / (8*1)

    1 = average(36750.3379015986*1*28.245/60/60/360, 36750.3379015986*1*26.347855/60/60/360, 36750.3379015986*1*18.85/60/60/360, 36750.3379015986*5*17.916/60/60/360, 36750.3379015986*1*17.755/60/60/360, 36750.3379015986*5*17.368/60/60/360, 36750.3379015986*1*7.452/60/60/360, 36750.3379015986*1*7.05/60/60/360)

    1 = harmean(60*60*360/28.245/1/36750.3379015986, 60*60*360/26.347855/1/36750.3379015986, 60*60*360/18.85/1/36750.3379015986, 60*60*360/17.916/5/36750.3379015986, 60*60*360/17.755/1/36750.3379015986, 60*60*360/17.368/5/36750.3379015986, 60*60*360/7.452/1/36750.3379015986, 60*60*360/7.05/1/36750.3379015986)

    http://www.scholarpedia.org/article/Stability_of_the_solar_system

  50. oldmanK says:

    Re the link of the DO events to a 1470 cycle, I have failed to find data. One of the latest papers on the subject is here: https://www.clim-past.net/15/811/2019/

    Page 6 has a link at the top for a supplement. It is an XL sheet giving dates. I cannot find any relationship to a 1470 gaps in events.
    What am I missing?

  51. oldbrew says:

    oldmanK – some of these researchers are shy of using a specific number when they can’t explain its origin, or so it seems anyway.

    We could help them perhaps but we’re outside their circles.

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