Introducing the TYCHOS

Simon Shack's (Tycho Brahe-inspired) geoaxial binary system. Discuss the book and website for the most accurate configuration of our solar system ever devised - which soundly puts to rest the geometrically impossible Copernican-Keplerian model.

Re: Introducing the TYCHOS

Postby hoi.polloi on Wed Jul 04, 2018 9:18 pm

Furthermore, it's not true that stars just do a small circle.

The "tiny circles" described by the Copernican system could very well be because they "account" for trochoidal movement of stars (as we see with Vega and others tracked over several years) by "resetting" the loop-de-loops each year claiming they don't know why they have to do so.

The "tiny circles" the stars are doing each year, in the TYCHOS, are related to the loops done by our frame of reference during a person's yearly path on Earth's rotating surface as it moves along the PVP.
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Re: Introducing the TYCHOS

Postby PianoRacer on Tue Jul 10, 2018 8:19 am

In the rare case that anyone is interested, I put the graphs that I've been referencing out on the interwebs:

http://planetgraphs.info

Feedback welcome.
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Re: Introducing the TYCHOS

Postby Skinnylegsandall on Sat Jul 14, 2018 9:47 pm

How do you explain this phenomena?
Happening in 5 days claiming revolving around sun.
https://www.youtube.com/watch?v=p10hTryZ5Fw
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Re: Introducing the TYCHOS

Postby hoi.polloi on Mon Jul 16, 2018 1:15 am

Please elaborate the claim you are talking about, in text. Do you mean "all planets on one side of the Sun"?
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Re: Introducing the TYCHOS

Postby simonshack on Mon Jul 30, 2018 6:26 am

*
A delicious humble pie ^_^

I'm quite happy to eat some (tasty) humble pie regarding this latest realization of mine: Earth's PVP orbit is not, after all, tilted at about 23 degrees in relation to the Sun's orbit (as of my original Tychos configuration). Instead, Earth itself is.

The reason why I'm happy will soon be clear. For a long while, I had tried to find some reliable historical information regarding the observed secular precession of our Southern polar stars. Astronomy literature offered plentiful material concerning the precession of our Northern pole stars - but precious little about the Southern ones (specifically, the rotational direction in which they were observed to precess). As I finally found what I was looking for, it dawned upon me that Earth had to be tilted at 23 degrees - yet not in the "fixed" manner proposed by the heliocentric / Copernican model. I must admit it took me many days (as Hoi and Kham can testify, as we discussed it vividly over brunches & dinners) to wrap my head around the issue and to figure out exactly how to solve it! Ultimately though, not only was the solution disarmingly simple but, to my immense delight, it also simplifies the entire Tychos model's geometry - since it does away with the only awkward or, if you will, 'inelegant' feature of my original model : the PVP orbit's obliquity.

And yes, this also means that our member Seneca (who rightly argued with me last month, via several personal e-mails, the equivalence of the 23-degree tilt) was right all along. So, many respectful hat tips to you, dear Seneca! This has led me to revise the relevant sections in my book (see the revamped chapter 12) and to make a couple of new graphics (see below) to illustrate this wonderful development of the Tychos' geometry.

038_NEW_AxialTilt_ofEarth_01.jpg


TYCHOS_Paths_of_Earth_&_Sun_01.jpg


As 'luck' has it, this development has no disruptive bearings on the TYCHOS' core principles - but simply makes the model even simpler! :)
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Re: Introducing the TYCHOS

Postby simonshack on Fri Nov 02, 2018 2:07 am

Dear Cluesforum readers, it's been a while since I posted any updates of my TYCHOS model - but this is just because I am currently looking ever deeper into the vast volumes of astronomy text books available, in order to find further indications which may go to support / confirm the TYCHOS paradigm. I must say it is a most rewarding experience - which "never stops giving"!


***********************


About "THE GREAT INEQUALITY"


Back in the 18th century, the spiny question of the observed behavior of Jupiter & Saturn ignited a humongous & long-lasting debate among our world's most celebrated astronomers and mathematicians (Halley, Flamsteed, Euler, Lagrange, Laplace and Poincaré - to name just a few). What every astronomy historian will know as the "Great Inequality"  is a 'scientific saga' of epic proportions. In short, the problem was that the motions of Jupiter and Saturn didn't seem to obey either the Newtonian (gravitational) nor the Keplerian (elliptical) theories ... not a trivial problem, you may say. Surely, both Newton and Kepler couldn't possibly be wrong, could they?

Image
http://adsbit.harvard.edu/cgi-bin/nph-i ... lassic=YES

What had been observed, first by Kepler himself and later by Halley, was that Jupiter appeared to accelerate - and Saturn appeared to decelerate. This was terrible news for mankind: it meant that (according to Newtonian theories) Jupiter would end up crashing into the Sun - while Saturn would be driven away into the depths of space !... In any case this is what, by all accounts, was ominously predicted at the time (on the basis of Newton's gravitational theories) : a truly apocaliptic scenario! Make no mistake, this was no petty matter: it was all about the very stability of our solar system - so the stakes were "sky high". In fact, the Paris and Berlin Academies set up special prizes to encourage scientists to resolve the pesky (and embarrassing) matter. Euler (the most acclaimed Swiss mathematician of all times) was the first recipient of such a prize, although his calculations showed BOTH Jupiter and Saturn accelerating - contrary to ANY astronomical observation ever made!...

The magnificent Isaac Newton himself had recognized the problem of the apparent "instability" of our Solar System (on the grounds of the observed behavior of Jupiter & Saturn) - but he never tackled the troublesome matter - while basically saying (freely paraphrasing his words) that "God should take care of this problem in due time - and restore the apparent, chaotic nature of our planetary motions". Kepler, on his side, also "gave up" and admitted that only future generations may eventually unveil the mystery of our Solar System's apparent instability (suggested by Jupiter and Saturn's odd behaviors). Kepler, for once, was right about that...

Enter Lagrange and Laplace, perhaps the two most acclaimed French mathema(g)icians of all times. The two French science icons engaged in a long struggle to try and "justify" the so-called Great Inequality (so as to "rescue" the sacrosanct Newtonian Gravitational Laws). Depending on what old text books one may bump into, it was either Lagrange or Laplace who "solved the problem", basically concluding that, according to their (formidably abstruse) calculations, the so-called Great Inequality (the growing gap between Jupiter's and Saturn's celestial longitudes) was only periodic - i.e. only temporary - and would eventually reverse. In other words, the gap would gradually (in the course of ca. nine hundred years) diminish - and cancel out itself. Our Solar System was, after all, a stable one (*phew!*).

However, it is unclear just how Lagrange & Laplace reached their "mathemagical" conclusions. In academic text books, we may only find some dreadfully complex equations and computational wizardry based on mere assumptions (about how "planetary / gravitational perturbations" and "tidal friction effects" might cause these puzzling "inequalities"...). To be sure, there is no plausible explanation as to why Jupiter's & Saturn's celestial longitudes would (under the Copernican model's configuration) oscillate back and forth, as observed. In time though - and here's where it gets funny - Lagrange and Laplace were "proven right" : the apparent, relative accelerations/decelerations of Jupiter and Saturn were then observed, several decades later, as being reversed :

"In 1773, Lambert used advanced perturbation techniques to produce new tables of Jupiter and Saturn.The result was surprising. From the mid-17th century the Great Anomaly appeared to go backwards: Saturn was accelerating and Jupiter was slowing down! Of course, such behavior was not compatible with a genuinely secular inequality."
https://www.academia.edu/25687069/And_Yet_It_Stands_The_Stability_of_the_Solar_System_in_Eighteenth_Century_Physical_Astronomy


One of the greatest observational astronomers of the times, William Herschel, had also noticed the "back and forth" oscillations of Jupiter & Saturn :

"He [Herschel] describes Saturn's period as increasing [i.e. Saturn seemed to be slowing down] during the seventeenth century, Jupiter's period as diminishing [i.e. Jupiter seemed to be speeding up]: and he adds - "In the eighteenth century a process precisely the reverse seemed to be going on."
https://books.google.com/books?id=S68RA ... 20&f=false


So, after all, there was no apocalyptic scenario for humanity to fear - whatsoever... Nonetheless (as pointed out by a number of independent, contemporary researchers), the "Great Inequality" and its corollary, the very "Stability of our Solar System", both remain - to this day - unsolved riddles. For instance, here's what Antonio Giorgilli (a veteran Italian expert in this peculiar area of astronomical studies), and the author of "LA STABILITA' DEL SISTEMA SOLARE: TRE SECOLI DI MATEMATICA" ("The Stability of the Solar System: Three Centuries of Mathematics") warns the reader with:

Su queste basi cercherò di illustrare che significato si possa dare alla domanda: “il sistema solare è stabile?”(...) Quanto alla risposta, non vorrei deludere nessuno, ma sarà: “non lo sappiamo”. http://www.mat.unimi.it/users/antonio/r ... rs/sns.pdf

On these grounds I will attempt to illustrate what significance we can give to this question: "is the solar system stable?" (...) As for the answer, I don't wish to disappoint anyone, but it will be: "we don't know".

"We don't know..."

Well, we obviously cannot attain any firm knowledge of our solar system's behavior - if we haven't even envisioned its correct geometric layout, can we? As I will presently illustrate, the TYCHOS model's geometric layout provides the simplest imaginable explanation for the "Great Inequality". Now, what you need to know is that, as seen from Earth, Jupiter & Saturn appear to conjuct about every 60 years (or actually a whisker less than 60 years - due to Earth's 1-mph-motion).

Since Jupiter employs 12 years to circle around us - while Saturn employs 30 years to do so, the two will regularly "meet up" every 60 years, i.e. respectively 5 X 12 (=60) and 2 X 30 (=60).

These "60-year conjunctions" move around our celestial sphere in anti-clockwise manner - as illustrated here:
Image
http://adsbit.harvard.edu/cgi-bin/nph-i ... lassic=YES


Let's now see how the TYCHOS model accounts - in the simplest possible way - for the Great Inequality "mystery" :

1: Whenever (in a certain epoch) Jupiter & Saturn are observed - over a 60-year interval - to conjunct in the "upper quadrant" of our celestial sphere, it will seem as if Jupiter is accelerating.

2: Whenever (in a certain epoch) Jupiter & Saturn are observed - over a 60-year interval - to conjunct in the "lower quadrant" of our celestial sphere, it will seem as if Saturn is accelerating.


This, because as Earth moves slowly (at 1 mph) around its PVP orbit, Jupiter & Saturn will alternately conjunct as they proceed in the opposite / or in the same direction as Earth. My below graphic should clarify conceptually what causes the so-called "Great Inequality" (one of astronomy's still-unsolved mysteries):

Image

Antonio Giorgilli then points out something of paramount interest (to the TYCHOS model's paradigm). Here's a paragraph from his afore-mentioned paper ("The Stability of the Solar System: Three Centuries of Mathematics") that I have translated into English, to the best of my capacities:

"The first long-term simulations have been carried out since the end of the 1980s by some researchers, including A. Milani, M. Carpino, A. Nobili, GJ Sussman, J. Wisdom, J. Laskar. Their conclusions can be summarized as follows: the four major planets (Jupiter, Saturn, Uranus and Neptune) seem to move quite regularly even over a period of a few billion years, which is the estimated age of our Solar System. On the other hand, the internal planets (Mercury, Venus, Earth and Mars) present small random orbital variations, in particular of their eccentricity, which cannot be interpreted as periodic movements: we must admit that there is a chaotic component. Not that the orbits change much, at least not in the short term, but there may be, for example, small variations in the eccentricity of the Earth's orbit that have very significant effects on the climate: the glaciations appear to be correlated to these variations. "
http://www.mat.unimi.it/users/antonio/r ... a_2016.pdf


In other words, this nicely goes to confirm that there are TWO distinct groups of celestial bodies in our Solar System (as proposed by the TYCHOS):

1: The Binary group (a.k.a. "the inner planets") composed of the Sun, Mars, Mercury and Venus (and of course, Earth and our Moon)
2: The P-type group (a.k.a. "the outer planets") composed of Jupiter, Saturn, Uranus and Neptune (and Pluto, small as it may be)

And thus, the TYCHOS once more resolves another major / historical, astronomical debate ("The Great Inequality") - in simple fashion.
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Re: Introducing the TYCHOS

Postby simonshack on Fri Nov 02, 2018 3:47 am

Here follow the (boring yet necessary) mathematical demonstrations of the TYCHOS paradigm, in relation to the observed motions of Jupiter & Saturn. I'm just posting them here for the record - you don't need to read them if you are short of time! -_-


GENERAL JUPITER AND SATURN DATA (as of the TYCHOS, the two complete their orbits in exactly 12 and 30 years)
Jupiter Orbit circumference > 4,891,899,584.6 km (5 Jupiter orbits = 24,459,497,923 km)
Saturn Orbit circumference > 8,964,009,501 km (2 Saturn orbits = 17,928,019,002 km)

Jupiter's orbital speed: 46,504.48 kmh (Jupiter completes 1 orbit in 105,192 hours - or  exactly 12 y)
Saturn's orbital speed:  34,086.27 kmh (Saturn completes 1 orbit in 262,980 hours - or exactly 30 y)


Every 12 y, Jupiter advances by 15min of RA, i.e. by 1.25min EACH YEAR.
Since our celestial sphere is made of 1440 minutes of RA, we can easily compute how long it will take for Jupiter to "lap" our Sun's orbit:
1440 / 1.25 = 1152

Ergo, Jupiter will "lap" the Sun's orbit once every 1152 years.

Hence, in one TYCHOS Great Year, Jupiter will "lap" the Sun 22 times : 25344 / 1152 = 22

Every 30 y, Saturn advances by 28.3 min of RA, i.e. by 0.9433(periodic)min EACH YEAR.
Since our celestial sphere is made of 1440 minutes of RA, we can easily compute how long it will take for Saturn to "lap" our Sun's orbit:
1440 / 0.9433 = 1526.5

Ergo, Saturn will "lap" the Sun's orbit once every 1526.5 years.

Hence, in one TYCHOS Great Year, Saturn "laps" the Sun 16.6 times : 25344 / 1526.5 = 16.6)
 
Now...

At intervals of (slightly less than) 60 years, Jupiter and Saturn are observed to regularly conjunct almost at the same place in our skies (yet each time slightly more East vis-à-vis the starry background).

That is, 5 orbits of 12y for Jupiter -  and 2 orbits of 30y for Saturn. Thus, in one TYCHOS Great Year (of 25344y), there will be a total of 422.4 Jupiter-Saturn "60-year conjunctions": 25344 / 60 = 422.4

If we now divide 1440min of RA (i.e. our 360° celestial sphere) by 422.4, we obtain :
1440 min of RA / 422.4 = 3.409(periodic)min of RA (Right Ascension)

Hence, this RA value of 3.409 (periodic) represents the mean distance between ALL of the Jupiter-Saturn conjunctions, if we were to plot (around our 1440-min celestial sphere) each one of those 422.4 Jupiter-Saturn "60-year conjunctions" over one Great Year (of 25344 solar orbits). 

Note for now that 3.409(periodic)min is 0.23674242 % of 1440min (i.e. our 360° celestial sphere).

Let us now use a typical pair of such circa-60-year conjunctions of Jupiter & Saturn to verify whether the TYCHOS model (and its proposed snail-paced orbital speed of Earth, i.e. 1.601169kmh / or circa 1mph) can provide an explanation for their peculiar periodicity. 
 
Typical example of a pair of Jupiter-Saturn "60-year" Great Conjunctions:

2000(May31) >to> 2060(Apr10) = 21,864 days, or 524,736 hours apart (i.e. only 51 days short of 60 full years).
(NOTE : 21,864 days is 0.23326% short of 60 full years)

In this time, Jupiter will cover 46,504.48 kmh X 524,736 h = 24,402,574,817.28 km  - completing 4.9883638 orbits,
(or just 0.23326 % short of 5 full 12-year Jupiter orbits)

In this time, Saturn will cover 34,086.27 kmh X 524,736 h = 17,886,292,974.72 km - completing 1.99534516 orbits,
(or just 0.23328 % short of 2 full 30-year Saturn orbits)

So, the question is: WHY would Jupiter and Saturn conjunct in 524,736 hours, i.e. just a whisker less than 60 full years?

Well, simply because during that time (524,736 h), Earth, moving along at 1.601169 km/h, will have covered the distance of :

1.601169 kmh X 524,736 h =840,191km which, as it "happens", amounts to 0.23619 % of Earth's PVP orbit circumference of 355,724,597 km !

And as we saw earlier, the MEAN distance between each Jupiter-Saturn conjunction is:
3.409(periodic)min , which amounts to 0.23674242 % of 1440min (i.e.360°).

Now, 3.409(periodic)min = 204.54(periodic) seconds of time.

We see that 204.54(periodic) seconds of time equals 3068.18 arcseconds...
http://www.kylesconverter.com/angle/sec ... arcseconds 

...and 3068.18" /51.13636" i.e. the Tychos' all-important ACP (Annual Constant of Precession)= 60 !

In other words, the OBSERVED Jupiter & Saturn conjunctions provide yet another qualitative AND quantitative confirmation of the TYCHOS model's proposed precession rate (51.13636"/year) caused by Earth's 1-mph motion. It is hard to wish for better / more conclusive proof of the correctness of the TYCHOS model.
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Re: Introducing the TYCHOS

Postby pov603 on Fri Nov 02, 2018 6:42 am

Good stuff, Simon.
I haven’t been able to “keep up” with some of the observations but that one made sense to me (that’s my problem not yours!).
Are there any Astronomy publications that would be willing to publish your data?

Edit: typo
Last edited by pov603 on Fri Nov 02, 2018 11:15 am, edited 1 time in total.
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Re: Introducing the TYCHOS

Postby patrix on Fri Nov 02, 2018 10:27 am

Excellent article Simon. This puts an end to the hundreds of years and thousands of hours poured into this dilemma by some of the brightest minds.

Simon's astronomical research needs to become more widely known and I hope we all help out in achieving this and study his work. I’m currently working on a new version of Tychosium 3d. It’s going well, but no need to wait for that. All that's needed to understand the significance and importance of this is laid out in Simon's book and illustrated by his drawings and the existing Tychosium 2d https://codepen.io/simonshack/full/JavqPO/

Please study this material. You do not have to know anything about astronomy beforehand. Just read up on astronomical terms like declination and right ascension (nothing more than the astronomical coordinate system used to describe where a planet/star is located at a certain point in time).
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