Offline Hoid

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Coincidences in astronomy.
« on: January 08, 2016, 03:46:19 PM »
If the earth is flat, how come,
1. Elliptic orbits around the sun can perfectly predictic the future movements of the planets.
2. Spherical star maps can accurately tell you what stars you will see at a time, and there is no distortion when you compair the map to the sky at night.

And has the flat earth model got a star map, and a way to work out the future position of a planet.
« Last Edit: January 08, 2016, 03:48:48 PM by Hoid »

Re: Coincidences in astronomy.
« Reply #1 on: January 08, 2016, 06:27:08 PM »
The clockwork accuracy which is completely predictable, as it is being applied to celestial mechanics, is a hallmark of the Flat Earth Aether/Ether Mechanics and NOT of the heliocentrical astrophysics.


In the RET model, NOT EVEN the three body problem can be explained/described mathematically by a set of differential equations.

That is, the three body problem cannot be explained using the conventional approach: attractive gravity. A system consisting of a star (Sun), a planet (Earth), and a satellite of the planet (Moon) cannot be described mathematically; this fact was discovered long ago by Henri Poincare, and was hidden from public view:

http://www.theflatearthsociety.org/forum/index.php?topic=30499.msg987360#msg987360

(KAM theory, homoclinic orbits, Smale horseshoes)


The quote from Henri Poincare, the greatest mathematician in the world at the end of the 19th century (S. Ramanujan was to appear some ten years later on the scene), has been deleted/censored from textbooks on the celestial mechanics at the undergraduate/graduate level.

A differential equation (initial value d.e.) approach to celestial mechanics IS IMPOSSIBLE.

As Poincare experimented, he was relieved to discover that in most of
the situations, the possible orbits varied only slightly from the initial
2-body orbit, and were still stable, but what occurred during further
experimentation was a shock. Poincare discovered that even in some of the
smallest approximations some orbits behaved in an erratic unstable manner. His
calculations showed that even a minute gravitational pull from a third body
might cause a planet to wobble and fly out of orbit all together.

Here is Poincare describing his findings:

While Poincare did not succeed in giving a complete solution, his work was so impressive that he was awarded the prize anyway. The distinguished Weierstrass, who was one of the judges, said, 'this work cannot indeed be considered as furnishing the complete solution of the question proposed, but that it is nevertheless of such importance that its publication will inaugurate a new era in the history of celestial mechanics.' A lively account of this event is given in Newton's Clock: Chaos in the Solar System. To show how visionary Poincare was, it is perhaps best if he described the Hallmark of Chaos - sensitive dependence on initial conditions - in his own words:

'If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of that same universe at a succeeding moment. but even if it were the case that the natural laws had no longer any secret for us, we could still only know the initial situation approximately. If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by laws. But it is not always so; it may happen that small differences in the initial conditions produce very great ones in the final phenomena. A small error in the former will produce an enormous error in the latter. Prediction becomes impossible, and we have the fortuitous phenomenon.' - in a 1903 essay 'Science and Method'


That is why the conspirators had to invent a very complicated new theory, called chaos theory, with the help of G.D. Birkhoff and N. Levinson; their work was the inspiration for S. Smale's horseshoe map, a very clever way to describe Poincare's original findings as "workable" and "manageable". The formidable implications are, of course, that chaotical motion of the planets predicted by the differential equation approach of the London Royal Society is a thing that could happen ANYTIME, and not just some millions of years in the future, not to mention the sensitive dependence on initial conditions phenomenon.

Even measuring initial conditions of the system to an arbitrarily high, but finite accuracy, we will not be able to describe the system dynamics "at any time in the past or future". To predict the future of a chaotic system for arbitrarily long times, one would need to know the initial conditions with infinite accuracy, and this is by no means possible.

This is why the computer model of Jacques Laskar is pure fantasy, as it is completely detached from reality.


http://ptrow.com/articles/ChaosandSolarSystem5.htm


http://web.archive.org/web/20090108031631/http://essay.studyarea.com/old_essay/science/chaos_theory_explained.htm


And there is more.

HOW EINSTEIN MODIFIED HIS FORMULA RELATING TO MERCURY'S ORBIT IN ORDER TO FIT THE RESULTS:

http://www.gravitywarpdrive.com/Rethinking_Relativity.htm

Fact:  The equation that accounted for Mercury’s orbit had been published 17 years earlier, before Relativity was invented.  The author, Paul Gerber, used the assumption that gravity is not instantaneous, but propagates with the speed of light.  After Einstein published his General Relativity derivation, arriving at the same equation, Gerber’s article was reprinted in *Annalen der Physik* (the journal that had published Einstein’s Relativity papers).  The editors felt that Einstein should have acknowledged Gerber’s priority.  Although Einstein said he had been in the dark, it was pointed out that Gerber’s formula had been published in Mach’s Science of Mechanics, a book that Einstein was known to have studied.  So how did they both arrive at the same formula?

Tom Van Flandern was convinced that Gerber’s assumption (gravity propagates with the speed of light) was wrong.  So he studied the question.  He points out that the formula in question is well known in celestial mechanics.  Consequently, it could be used as a “target” for calculations that were intended to arrive at it.  He saw that Gerber’s method “made no sense, in terms of the principles of celestial mechanics.”  Einstein had also said (in a 1920 newspaper article) that Gerber’s derivation was “wrong through and through.”

So how did Einstein get the same formula?  Van Flandern went through his calculations, and found to his amazement that they had “three separate contributions to the perihelion; two of which add, and one of which cancels part of the other two; and you wind up with just the right multiplier.”  So he asked a colleague at the University of Maryland, who as a young man had overlapped with Einstein at Princeton’s Institute for Advanced Study, how in his opinion Einstein had arrived at the correct multiplier.  This man said it was his impression that, “knowing the answer,” Einstein had “jiggered the arguments until they came out with the right value.”



The existence of ether shows the fallacy of the entire RE celestial mechanics "theory".

Aether = medium through which ETHER flows

Ether = scalar waves consisting of subquarks strings

The density of aether can vary.


RE theory requires a full void, otherwise the equations which "describe" the orbits of the planets will have to include friction terms.


KEPLER MOTION

In an appropriate coordinate system, the motion of a planet around the sun (considered as fixed) with the attractive force being proportional to the inverse square of the distance /z/ of the planet from the sun is given by the solution of the second order conservative system with the potential function -/z/^-1 for z =/0.

A mechanical system without friction can be described in the Hamiltonian formulation.

References for Celestial Mechanics and Hamiltonian mechanics:

V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, 1978

C.L. Siegel and J. Moser, Lectures on Celestial Mechanics, Springer-Verlag, 1971

J. Moser, Stable and Random Motions in Dynamical Systems, Princeton Univ. Press, 1973

Area Preserving Maps, Nonintegrable/Nearly Integrable Hamiltonians, KAM Theory:

http://www.math.rug.nl/~broer/pdf/kolmo100.pdf

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Offline Roundy

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Re: Coincidences in astronomy.
« Reply #2 on: January 08, 2016, 06:41:34 PM »
I know his posts can be terse and difficult to follow, but sandokhan is definitely on to something there.

All I really have to add is that history is full of examples where we think we've worked out the mathematics of this or that and thought it proved the other thing, but were actually wrong.  Newton's law of gravitation is probably the best example.  It was so perfect mathematically that it was taken for granted that it was correct, and then people started noticing problems with it, and Einstein essentially proved it completely wrong.  And as sandokhan pointed out, RET has its own inconsistencies to deal with, despite the precision the op seems to think exists with its corollaries, the lack of a solution to the 3 body problem being a prime example.
Dr. Frank is a physicist. He says it's impossible. So it's impossible.
My friends, please remember Tom said this the next time you fall into the trap of engaging him, and thank you. :)

Re: Coincidences in astronomy.
« Reply #3 on: January 08, 2016, 07:19:30 PM »


One has to know bifurcation theory very well in order to understand "the lack of a solution to the 3 body problem", that is why I was the first (and so far the only one) to bring this to the attention of the FE/RE.

Here is an introduction to homoclinic tangles/orbits, explained visually:

http://www.math.umn.edu/~rmoeckel/presentations/PoincareTalk.pdf




Re: Coincidences in astronomy.
« Reply #4 on: January 08, 2016, 07:51:50 PM »
Now, let us get more technical in describing the stability of the heliocentrical solar system.

Two of the greatest Soviet mathematicians of the 20th century, A.N. Kolmogorov and V.I. Arnold asked the following question: to what extent the geometric structure of the quasi-periodic dynamics of a Hamiltonian system persists under small perturbations that destroy the toroidal symmetry?

This led to the famous KAM theory (Kolmogorov-Arnold-Moser); however, it is valid for "sufficiently" small perturbations.

In reality, the perturbations in the solar system are far too large to apply KAM theory.

So, the mathematicians have to rely on computing Lyapunov exponents, in order to try to predict any region of instability/chaos.

Even in this case, the measured Lyapunov exponent may have no relation to the true exponent: great care has to be taken in computing such quantities.

In 1989, J. Laskar proudly announced that the exponential divergence time for the solar system is 5 million years.

However, again, this calculation DOES NOT take into account the sensitivity of the results due to uncertainties of the knowledge of true masses and the INITIAL CONDITIONS of the planets.


Jack Wisdom (MIT): It is not possible to exclude the possibility that the orbit of the Earth will suddenly exhibit similar wild excursions in eccentricity.

The exponential divergence of chaotic trajectories precludes long-term prediction given the limited knowledge of the state of our solar system.

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Offline Luke 22:35-38

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Re: Coincidences in astronomy.
« Reply #5 on: January 09, 2016, 03:21:59 AM »
This should be interesting.
Isaiah 40:22 "It is he that sitteth upon the CIRCLE of the earth"

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