tom mango J _ sS barycentre

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We discuss this here

Readers can contact me at
or via this post in the comments section below..



48 comments on “FOLLOWING.. TOM MANGO

  1. TOM.. Could you please tell the readers in the comments who you are and what you are doing or have done and could you post your contact details so interested people can contact you.. Thanks
    I will keep this post going where we and others can chat about your findings..

    • Hi Tom,
      I am doing my PhD in this topic (just started). I am trying to create a prediction tool of our climate based on solar motion and the movements of the planets more specifically of J/S. I have been reading on Charatova and Ladscheidt (plus other interesting authors such as Scaffeta). I find your plots very interesting and would like to ask you what the pink line represents and why is the dot in the middle moving?
      I would appreciate your answer, I realise this might be a silly question but I am still trying to get my head around this.

      Many thanks

      Maria McCrann

      • Hi Maria,
        Your questions are not silly.

        The black dot represents the estimated location of our solar systems center of mass.
        The entire solar system wobbles around the center of mass.
        Jupiter has a mass of ~318 Earths and Saturn has a mass of ~95, so our solar
        system is a wheel badly out of balance. Jupiter always opposes the Sun (see
        my graph above).
        It is possible for Saturn, Uranus and Neptune to join the Sun in its opposition to
        Jupiter. It is also possible for these giants to join Jupiter in its opposition to the Sun.
        (Or a number of other various combinations.) In a particular point in time,
        the amount of mass that opposes the Sun is variable. The center of mass is
        formed between the Sun and the mass opposing it. Since the opposing mass is
        variable, the center of mass itself is variable and moves.

        Maria, Please get a copy of my 61 year cycle graph(.png version) from Sue.
        It uses the principles of variable mass discussed here.
        Underneath it all, lies the concept of mass-energy equivalence.
        The 61 year graph is expressed in terms of mass (energy).
        Equ(1) is a mathematical representation of the four giants traveling around a stationary Sun in circular orbits. Here the focus is on alignment.
        Equ(2) is a mathematical representation of the four giants traveling around a stationary
        Sun taking into account eccentricity. Here the focus is on eccentricity. Equ(2) is
        a general equation of Equ(1). If the eccentricity values in Equ(2) were replaced
        with zeros, Equ(2) would become Equ(1).
        Equ(3) is the difference between Equ’s (1) and (2). This was a purposeful attempt to assign some kind of energy value to this eccentricity.
        This whole exercise paid off huge for me, because it produced the 61 year temperature
        cycle, Scafetta had written about in many of his papers.

        If you stick around, I’ll try to answer the rest of your questions.

  2. Hi Sue,
    Thanks for posting my graph. I am so grateful that you have been so generous.
    My background is actually in music theory and composition. I don’t have a degree
    in astrophysics. I’m a Roman Catholic that sees God’s handiwork in the creation of our solar system. A solar system regulated by vibration was a theory I couldn’t resist. For the last 12 years, I have been studying celestial mechanics and doing research on planetary influence and climate.
    I apologize for the grainy appearance. This graph is actually quite large (larger than landscape size). It would best be viewed if inserted into microsoft word and printed out.
    I have to log off for a minute… be right back

  3. Hi Sue,
    This graph is a 20 year sample of the solar ephemeris 1841-1861.
    Think of the yellow as the inner core of the sun and not the entire sun.
    This is the best way to emphasize the Jupiter/Sun opposition.
    The two planets are Jupiter(the larger) and Saturn.
    Jupiter and Saturn are super-imposed over the Sun’s territory to show the relationship between an orbiting Sun and the two largest planets.

    Frames 1 & 12 show that the ~19.86 year synodic begins and ends with alignments.
    Frames 1 thru 8 show the Sun completing 1 trip around the center of mass.
    (over long time scales the Sun orbits the C/M averaging ~11.862242 years)
    Frames 1 thru 7 show the Sun moving in closer to the C/M.
    (this is ~9.93 years in which the Sun decelerates)
    Frames 7 thru 12 show the Sun moving away from the C/M.
    (this is ~9.93 years in which the Sun accelerates)

  4. The approximate location of the solar system’s C/M is depicted as a black dot in the heart of the epi-trochoid (in green). I broke down each year into 40 points. Using a three point formula calculated center (h,k) for each of the 40 minor arcs. I was surprised to find that the C/M moved along the path of an epi-cycloid (the large gray backward three).
    The red meter simply remains perpendicular to the green curve and passes through the solar systems C/M.
    I believe there is a second center of mass that is formed by all the objects in the solar system excluding the Sun. This second C/M is located near Jupiter somewhat between Jupiter and Saturn. The red meter points in the direction of this second C/M. Jupiter is so massive that it is always found near this second C/M.

    Frames 1 thru 7 when the Sun is decelerating, Jupiter leads in its opposition to the Sun.

    Frames 8 thru 12 when the Sun is accelerating, Jupiter lags in its opposition to the Sun.

    The Jupiter/Sun opposition is very irregular. Irregular enough that many have simply ignored the binary attribute that exists between the two.

  5. Thanks TOM. Lots to chew over here and chat about and l will get round to interrogating , .thinking and commenting over the coming weeks
    You have had 33 viewers reading your post yesterday from the USA
    So don’t get despondent if no one comments. Most people prefer to lurk.
    Catch up with you here soon

  6. Some more information fromTOM to collate and consider
    ” Hi Sue,
    A 60 year period would produce a three leaf clover of these oval shapes.
    This is what Ivanka Charvatova referred to as a trefoil configuration.
    The smaller planet in the graph is Saturn and the larger is Jupiter.

    Plotting the barycentre over longer time periods is a huge job.
    I’ve written programs to do this for me.
    It requires ‘keying in’ a lot of solar ephemeris data just to do short periods.


    Thanks TOM.
    There is plenty to digest.

    about 20 yrs per oval shape?

    60 yr 3 leaf clover

    and then repeats?

    Is this pattern a constant or does it have a quasi variability?

  7. “Is this pattern a constant or does it have a quasi variability?”

    The pattern is definitely variable. Charvatova found that the 60 year trefoil configurations became disordered in 2402 year cycles. This is one of my favorite subjects. If the Earth/Moon system is regulated by impulses from the Sun, the 2402 year cycle should be at the heart of the physical mechanism. A full understanding of SIM is probably necessary to solve this one.

  8. The trefoil trace of the Jupiter / sun Barycentre on your graph above from map 1 to 12 draws a backward 3 in 20 yrs.
    Then does the pattern repeat?

    The backward 3 appears non symetrical on your graph ( the curve is slightly different on each petal)
    but the years are symetrical ( 10 yrs for each petal) 1841-1851 and then 1851-1861
    is that just a graphical error or is that just different shapes for each leaf?

  9. “Then does the pattern repeat?”

    Yes it does. There is one petal for each deceleration and each acceleration (~9.93 years). An epi-cycloid (the backward 3) is a cycloid that forms around a circle.
    Apparently this circle expands and contracts, because these petals come in both large and small sizes. The larger broader SIM patterns tend to produce larger broader cycloid patterns.
    Now keep in mind that my moving C/M is only an approximation. To graph the C/M precisely, we would have to know the existence of every object in the solar system, their exact mass, velocity and orbit.
    What I did was a bit of reverse engineering. Assuming that JPL had to estimate the location of the C/M for their radius to rotate smoothly, I started out with a perpendicular radius and set out to find their center points.

  10. Hi Sue,
    Sorry. Sometimes I get in a hurry.
    C/M (center of mass),
    SIM (solar inertial motion) is the pattern the Sun carves out orbiting the barycenter.
    JPL (jet propulsion laboratory) are the folks at NASA that calculate the solar ephemeris table(x, y and z coordinates for the Sun’s path around the barycenter).
    The graphing area with grid lines we use for plotting coordinates is called the ecliptic.

    My graph (frames 1 – 12) is only a single 20 year sample (1841 – 1861). The Sun will continually reproduce this ~19.86 year pattern (synodic period). The next synodic period (1861 – 1881) will have the same shape but it will have rotated ~242.7 degrees in a counter-clockwise direction.

    I’ve prepared a new graph (frames 13 -15) to demonstrate how the ~242.7 degree rotation is calculated. I’d like to send it to you, if you’d like. The rotation of the Sun’s patterns is something that is best understood visually. I’ll try to e-mail it today.

  11. Thanks so much Sue for posting frames 13-15.
    In frame 13 notice that the solar minimums 21(1986) & 22(1996) occurred when the Sun passes through the upper left area of the graph. The same is true about solar minimum 23(2009) in frame 14. If we have minimums in 2020 & 2032, these also will occur when the Sun passes through the upper left area in frame 15.

    frames 13-15 are a good illustration of how the ~19.86 year synodic patterns rotate with the alignments of Jupiter and Saturn. Notice the ~242.7 deg counter-clockwise rotation between frames. Over long time scales the Sun travels around the solar systems center of mass averaging ~11.862242 years.
    J = 11.862242 —— S = 29.457784
    J x S / ( S – J ) = 19.85931224
    During the ~19.86 year synodic period, the Sun travels around the center of mass averaging ~1.67 orbits (19.85931224 / 11.862242).
    (19.85931224 / 11.862242 – 1) 360 deg = ~242.7 deg
    The Suns pattern of motion could also be viewed as clockwise rotation of ~117.3 deg.

  12. Some more correspondence from TOM
    “Hi Sue,
    frames 1-12 was a single 20 year sample. So it was possible to show a rotating sun and planets in 12 stages.
    But when we want to show 23 minimums, it would get a little overwhelming to view them individually.
    It might be more practical to divide them into groups that share common characteristics.
    This way we can see the patterns that emerge.
    For a start, I’m experimenting with a graph that has 7 solar minimums superimposed in a single frame.
    These seven minimums all occurred at the same location on the ecliptic.
    This graph has suns to mark the position of the Sun at the solar minimums.
    I’m almost finished with this first stage.”
    TOM said
    “Notice the ~242.7 deg counter-clockwise rotation between frames.”

    If you take the rotation from the POINT where the trace intersects. ( 1986, 1996), (2006,2016),(2026,2035)
    I can see about a 90 deg rotation.
    I can’t see the 242 deg rotation?

  13. Breaking frames 13-15 down in to three separate pieces was a great idea.
    It really helped to make the point about how solar minimums 21(1986), 22(1996) and 23(2009) all occurred in the upper left area. To best view the ~242.7 degree pattern rotation, we could show frames 13-15 in the original form as a single graph.

    When you posted frames 2 & 9, I think you uncovered something very interesting.
    That is, a good number of minimums seem to occur in a kind of shot group. I hope to illustrate this with the new graph (in a feb 7 email). Eleven of the 23 minimums occurred in this grouping. Seven of these minimums occurred in succession (cycles 8-14). Currently we seem to have begun another period of successive minimums occurring in this same shot group (cycle minimums 21-23).

  14. Here is TOM”S new graph ( FEB 2015)showing a succession of solar minimums occuring not randomly but on the ‘western flank’ of the Jupiter/Sun barycentre trace or putting it another way . The solar minimums occur on the negative range of the X axis

    Could you please define the meaning of the X and Y axis TOM and units? any commentary would help me. Thanks
    and feel free to correct me on my commentary or any misunderstandings , thanks
    This graph is stored here

  15. The X and Y coordinates for the Suns motion around the barycentre are provided
    by NASA’s Jet Propulsion Laboratory.

    Since 1843, there have been 16 solar minimums. Ten of the 16 solar minimums fall into this shot group. Over long time scales the Sun travels around the barycentre with an average periodicity of ~11.862242 years. So, the solar cycle length of the minimums that fall into this shot group are generally above the ~11.03 year average SCL. The solar cycle length of minimums that do not fall into this shot group are generally below the ~11.03 year average. For me it was unexpected, that the longer solar cycle lengths occur when the Sun is moving at its greatest speed. I think that I imagined that a more active Sun was a faster moving Sun.
    This is a fast Sun/slow Sun situation. I would like to hear what Vukcevic has to say about this.

  16. TOM said ” The X and Y coordinates for the Suns motion around the barycentre are provided
    by NASA’s Jet Propulsion Laboratory.”
    What does the positive and neg co-ordinates refer to TOM. I noticed some symetry there TOM
    1913 ( -2 +2)
    1843 (-7 +7)

    is this significant?

    Also note that co-ordinates -2 +2 is Jupiter saturn beat (`60.9 yr) trough of 1841
    and coordinates -7 +7 is the J/S beat trough was in 1902 .. 11 yrs shift from end of cycle 14

    Cycle 13 ended in 1902.

    Both cycle 8 and 13 sit on the positive 7 , Y AXIS and they are both troughs of the J/S 60.9 yr beat!

    and as you say. The solar minimums occur in the left quadrant which has a negative x axis
    This is why l enquire.
    What does the X and Y axis represent?

  17. TOM said” This is a fast Sun/slow Sun situation. I would like to hear what Vukcevic has to say about this.”

    I will find some of his stuff on this fast sun / slow sun. He has dates etc.
    I think l can find his email for you from his web site.

    “when the Sun is moving at its greatest speed.”

    Do you mean rotational speed or vector directional speed?

  18. Tom said “the amount of mass that opposes the Sun is variable”

    I would like to see a simple graph of the amount of mass that opposes the sun TOM.
    Is it a sine curve, or a Z shape..
    Can you provide some data on this? on a tine series since mid 1800 to ~2015

    I am interested as you know in the spatial distribution of mass on the solar plane
    Density of spatial solar plane ( say a pie graph section in the earth quadrant) at any given year.
    Does the gravity pull on the earth vary as a result of the shifting mass on the solar plane.. ?
    Acceleration and deceleration of the earth due to amount of mas opposing the sun rather than the effect of the sun on its own
    PaulVaughan has graphs on this maria and so does l think Vukcevic. Just gogle those names. I have link to their site if you do a search on this blog

  19. Hi Sue,
    With Equ’s (1) & (2) of my 61 year graph, I try to show how Saturn, Uranus and Neptune can either join the sun on the same side of the center of mass or oppose it. This is why the graph is expressed as mass and why I believe the solar system’s center of mass has a very complicated wobble.

  20. Thanks for the link Sue. Even the clouds on Jupiter show evidence of Ray’s
    ‘harmonic theory’ and a 144 year cycle.
    I’ve found that our cooling periods seem to show the existence of a very
    irregular 144 year cycle.
    This is an area of study in which I’ve dedicated a considerable amount of time
    If its ok I’d like to e-mail a couple of graphs.

  21. Here are TOMs 4 graphs and explanation below
    This is indeed an outstanding finding.
    I have lots of questions to ask you TOM. To do a refresher and discuss your new discovery.
    This is sensational.
    I am going to leave the graphs and explanation here for a week for visitors to chew over and l will start asking you questions in about a week if that is OK. I am not sure where to start TOM as there are so many angles to take on this. As my interest is linked to climate , l will take this inquiry line.

    If you click on the graphs you can get them bigger

    The first graph is the sixtyoneyear graph which contains equ(3) in orchid.
    If we perform peak-to-peak analysis on equ(3) using every fifth peak we will extract a 2208 year (Hallstatt) cycle.
    Notice that the Hallstatt has a 144 year wave oscillating on it (second and fourth graphs).
    I discovered this wave but I named it after Pierre Bretagnon.
    This peak-to-peak analysis simply measures the change expressed in terms of mass.

    Now… If we analyze every fifth peak we find there is actually five combinations (not demonstrated in the graphs).
    So… There is actually five overlapping Hallstatt cycles produced, each separated by a phase of ~441.6 years (2208 / 5).
    One of the five Hallstatt cycles was in agreement with the Damon and Sonnet 14C data.
    I chose the one that was in agreement and that is the fourth graph.

    The third graph is a climate projection based on the work of others.
    Here I’ve made a huge discovery involving the ~1000 year millennial cycle.
    In my model minimums advance along a 914 year wave and these minimums re-occur at ~1000 year intervals.
    So…. the next minimum scheduled to repeat itself is the Oort minimum, which should happen in 2070.
    It was later that I discovered the Bretagnon wave and that the millennial cycle was really 1008 years (144 x 7).

  22. KEEP TUNED for discussion and please feel free to ask tom questions here
    His email is

  23. Here is a list of the papers that lead me to my conclusions:

    10Be graph:
    ……NRC, 2006. Surface Temperature Reconstructions for the Last 2000 years.
    ……The National Academies Press p.102 fig.10-2.
    ……Frohlich and Lean, 2004. Solar radiative output and its variability: evidence
    ……and mechanisms. Astronomy and Astrophysics Review 12(4), 273-320.
    TSI graph:
    ……Steinhilber and Beer, 2013. Prediction of solar activity for the next 500 years.
    ……Journal of Geophysical Research 118, 1-7.
    Hallstatt cycle:
    …….Dreschhoff, 2007. Paleo-Astrophysical data in relation to temporal characteristics
    …….of the solar magnetic field. Proceedings of the 30th International Cosmic Ray
    …….Conference vol. 1, 541-544.
    …….Dean, 2000. The Sun and Climate.
    …….USGS Fact Sheet August FS-095-00.
    …….Damon and Sonnett, 1991. Solar and terrestrial components of the atmospheric
    …….14C variation spectrum. The Sun in Time. The Univ. of Ariz. Press, 360-388.
    60 and 114 year cycles:
    …….Scafetta, 2012. Multi-scale harmonic model for solar and climate cyclical variation
    …….throughout the Holocene based on Jupiter-Saturn tidal frequencies plus the
    …….11-year solar dynamo cycle. J. Atmos. Sol. Terr. Phys. 80, 296-311.
    …….Ogurtsov et al., 2002. Long-period cycles of the sun’s activity recorded in direct
    …….solar data and proxies. Solar Physics 211, 371-394.

  24. Tallbloke wordpress does some excellent topics.
    Here are some excerpts from: ‘MET Office scientist flunks simple logic test’
    September 21, 2015
    Oldbrew says:
    September 23, 2015 2:00 pm
    TL Mango says: ‘The 61 year beat that Scafetta wrote about in his ‘Multi-scale Harmonic Model……’ 2012 happens to be a powerful solar cycle with very obvious physical mechanisms.’

    It’s the time taken for the position of the Jupiter-Saturn conjunction to move through 360 degrees.
    1 J-S = 117.14703 degrees of retrograde movement from the previous J-S conjunction.
    J-S x (360 / 117.14703) = ~ 61 years.

  25. ……………………
    TLMango says:
    September 23, 2015 3:37 pm
    Hey there OB,
    Yes, the 61 year and the tri-synodic are both close approximations for the
    ‘Jupiter Saturn Great Conjunction’.
    Most people would be surprised to learn that the ‘Jupiter Saturn Great Conjunction’
    had been resolved more than 165 years ago:

    “(721.) The arc 8 deg 6 min is contained 44 4/9 times in the whole circumference of 360 deg; and accordingly, if we trace round this particular conjunction, we shall find it will return to the same point of the orbit in so many times 21760 days, or in 2648 years. But the conjunction we are now considering is only one out of three……. hence a conjunction (one or other of the three) will happen at that point once in one third of this period, or in 883 years;……… ”
    ………………………………………………………….. John F.W. Herschel, 1849
    ………………………………………………………….. ‘Outlines of Astronomy’

    This of course is the J/S beat:
    11.862242 / 2 x 29.457784 / 5 / (11.862242 / 2 – 29.457784 / 5) = 883.2109902 years.

    Herschel used different values for the orbital periods of Jup & Sat, but its the same beat.

  26. ……………………..
    TLMango says:
    September 23, 2015 5:24 pm
    We can prove that Herschel was correct:

    J = 11.862242…………S = 29.457784
    3 (19.85931224) = 59.57793672 ‘the tri-synodic

    The Sun’s pattern of motion rotates with the alignments of Jupiter and Saturn.
    The Sun orbits the center of mass averaging ~11.862242 years.
    59.57793672 / 11.862242 = 5.022485355
    (5.022485355 – 5) 360 deg = 8.09472763 deg

    This 8.09472763 deg is the 8 deg 6 min Herschel was speaking about.
    Herschel used slightly different orbital periods for Jup & Sat, so the 8.09 figure is just
    a smidge smaller than his 8.1 deg.
    As each tri-synodic pattern rotates they are separated by 8.09472763 deg.

    We can also calculate the average number of years that pass with each degree of rotation.
    59.57793672 / 8.09472763 deg = 7.360091586 years/deg

    In an irregular way, the tri-synodic patterns that follow will continue to rotate,
    eventually turning 360 deg in 2649.632971 years.
    (7.360091586 years/deg) 360 deg = 2649.632971 years

    And…….. 2649.632971 / 3 = 883.2109902 years
    End of excerpts from ‘MET Office scientist flunks simple logic test’

  27. The sun’s pattern of motion rotates with the alignments of Jupiter and Saturn. During the ~9.93 year period from J/S alignment to J/S opposition the sun decelerates. During the ~9.93 year period from J/S opposition to J/S alignment the sun accelerates. The sun in its barycentric orbit has an inwardly directed deceleration and an outwardly directed acceleration.
    The 883.2109902 year period is the average amount of time for a J/S conjunction
    to occur in the same location with respect to the stars (Great Conjunction). When the
    sun is accelerating toward the center of the galaxy during a ‘Great Conjunction’ we
    know that ~441.6 years later the sun will be accelerating away from the center of the
    galaxy. The sun will reverse the direction of its acceleration every ~441.6 years. In fact
    the sun will reverse the direction of its acceleration for any odd multiple of 441.6 years.
    The 2208 (441.6 x 5) year Hallstatt cycle is one of these odd multiples of 441.6 years.
    This is the physical mechanism behind the Hallstatt cycle. Our sun is orbiting the
    center of the galaxy at 486000 mph. As the sun races along its orbital path it rocks side
    to side like a freight train on uneven rails. The nearest constellation on our left and
    the nearest constellation on the right will keep our solar system’s galactic compass in line with the center of the galaxy.
    The Hallstatt cycle does not appear to be directly related to temperature change in spite of its agreement with the Damon and Sonnett 14C proxy data. The 144 year Bretagnon wave oscillates on the Hallstatt and has a really nice correlation with the
    10Be proxy of Frohlich and Lean 2004.

  28. Thanks for the info TOM
    I will start my amateur questions .. apologies for the simplicity of my question

    peak to peak on your climate prediction graph above

    a peak at the year 2146 and the peak before was the year 1232
    2146-1232 = 914 yrs

    Is this cycle a constant. That is, does it always remain 914 yrs in length?

    I notice the maunder minimum sits on the troughs of this cycle. Does that mean that a maunder minimum will re-occur every 914 yrs?

    Is the 914 yr peak to peak cycle linked to the earths temperature cycle

    I know the ~60-66yr cycle is linked to earths temperature . But l have always noticed a background longer cycle that is forcing global temp up . This wave superimposes over the 66 yr

    Is this 914 yr cycle the larger of the forcing agents on the earths temp’
    If so..we have more global warming until 2146?

    Could you explain to me in childs terms . What physical factors cause the 914 yr cycle? Planets / sun etc
    Hope you had a great Christmas TOM..
    BTW TOM . My stats reveal you have 25 regular visitors from THE USA that regularly follow this post.
    Please feel free to contribute ‘guys’; and ask TOM some questions

  29. Just a little play with the cycle ratios TOM
    914 yr harmonic and the 3 smaller embedded cycles
    914 / 182 yr harmonic = 5.022
    914 / 114 yr cycle = 8.0175
    914 / 60.948 yr cycle = 15

    Common factors of 15, 8 and 5 are ..
    8 and 15 share no common factors aside from 1.
    in the year 2146 and 1232. these 3 cycles align
    . the 182 cycle, the 114 cycle , the 61 cycle
    year 2146 – year 1232 = 914 yrs peak to peak

  30. The first graph, the SixtyOneYear graph super-imposes Equ’s (1) and (2) to form the 178.7338102 year cycle we usually call the Jose cycle. But this 178 year cycle is not
    consistent. Every fifth cycle it executes a jump of one J/S synodic period or 19.85931224 years. At longer time scales it executes more jumps that eventually cause the five cycle period to approach 914.2257407 years or 60.94838271 x 15.

    Earlier I attempted to show how the 883.2109902 year period was the ‘Jupiter
    Saturn Great Conjunction’. The sun rocks side to side, but not in a simple way.
    These are waves that oscillate on waves that oscillate on waves that oscillate
    on waves that………

    One of these waves is the 60.94838271 year cycle. Every J/S synodic period, the suns pattern of motion rotates ~242.6982425 deg in a counter-clockwise direction. This could also be viewed as a ~117.3017574 deg clockwise rotation every 19.85931224 years.

    360 deg – 117.3017574 (3) deg = 8.09472763 deg
    19.85931224 (3) + (8.09472763 / 117.3017574) (19.85931224) = 60.94838271 yrs
    So the 60.94838271 year cycle is a conjunction cycle and so are all multiples
    of 60.94838271. The 914.2257407 year cycle (60.94838271 x 15) is a conjunction cycle.

    360 deg – 117.3017574 (2) deg = 125.3964852 deg
    360 deg / 125.3964852 deg = 2.870893865
    19.85931224 (2) = 39.71862448 yrs
    (2.870893865) (39.71862448 yrs) = 114.0279553 yrs
    So there is a 114.0279553 year conjunction cycle.

  31. TOM
    Did you know that if you fold your climate prediction graph in half at the year 1689
    ( this is your 914 yr cycle trough)
    The wave form of the 3 smaller wave cycles (182, 144 and 61) whether viewed singularly or as a composite form a mirror image
    Draw a line down the year 1689, fold in half and see the mirrored image
    jose cycle 179 yrs.. is the 182 yr the jose cycle as well?
    at what position is saturn and jupiter , earth and the sun on the solar plane in the year 1689?

  32. OK
    I couldn’t find common factors of the whole numbers but look what we find when we usae the decimal places. This shows how alignment of these cycles is possible as shown on your graph example : 1689. When all 3 cycles( 144, 182, 61 ) align with all cycles in their trough phase

    Common factors of 5.022 and 8.0175
    The factors of 5.022 are:
    1, 5

    The factors of 8.0175 are:
    1, 2, 4, 8

    The common factors are:

    The Greatest Common Factor:

    Excuse my maths ignorance TOM. I am trying to figure out how cycles can align at 1689
    Help me here.. Is the above correct?
    GCF = 1

  33. Hi Sue,
    Yes, the climate projection graph is symmetrical. This is because Equ(4) is based
    solely on the 60.94838271 year cycle. Equ(4) can be found in the upper left margin.
    In the upper right margin there is a breakdown of all five of the periods used in the
    equation: {60.94838271, 114.2782176, 121.8967654, 182.8451481, 914.2257407}.
    These are all multiples of the 60.94838271 year cycle.

    Notice that when minimums reoccur, they advance along the 914 year wave by about
    86 years. This is the difference between the 1000 year re-occurrence and the 914 year wave. For example, when the maunder minimum repeats it won’t be at the exact bottom of the 914 year wave, it will have advanced by ~86 years.

    Earlier I described the 60.94838271 & 114.0279553 year cycles as conjunction cycles. This of course does not mean that Jupiter and Saturn align precisely to these periods.
    Nor does this mean that alignment in itself has dominant significance. In fact, the
    alignment of Jupiter and Saturn is the ~moment when the sun transitions from acceleration to deceleration (acceleration = 0).
    The dominant factors are:
    a) the acceleration of the sun
    b) periodic 180 deg reversals in the direction of that acceleration
    c) an opposing force that resists the sun’s acceleration in a particular direction.
    d) the opposing force should be in line with the center of the galaxy, creating
    the side-to-side vibration I spoke of earlier.

    Acceleration takes place in the ~9.93 year period prior to every J/S alignment,
    so the 60.94838271 & 114.2782176 year conjunction cycles remain valid.
    The emphasis should be on acceleration and not so much alignment.

  34. Correction:
    ‘so the 60.94838271 & 114.0279553 year conjunction cycles remain valid.’

    In the climate projection graph I use the value 114.2782176 which is:
    60.94838271 x ( 15 / 8 ). I wanted the projection graph to be based
    solely on the 60.94838271 year cycle.

    The climate projection graph was completed long before I found the 114.0279553
    conjunction cycle. The 114.0279553 conjunction cycle also happens to be a
    simple J/S beat 57.01397771 (2).
    11.862242 x 29.457784 / 3 / (11.862242 – 29.457784 / 3) = 57.01397771
    60.94838271 x 57.01397771 / (60.94838271 – 57.01397771) = 883.2109902 yrs
    And……. 883.2109902 yrs is the ‘Jupiter Saturn Great Conjunction’


  36. Pingback: Maunder, Dalton , Gliessburg, Oort, MWP wolf , sporer | CRIKEY !#&@ ...... IT'S THE WEATHER CYCLES

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