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From: "Paul.B.Andersen" <relativity@paulba.no>
Newsgroups: sci.physics.relativity
Subject: Re: Weakness in the results of the three tests of GR shown in rhe
 lasr century,.
Date: Sun, 27 Oct 2024 19:39:01 +0100
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Den 27.10.2024 02:11, skrev rhertz:
> On Sat, 26 Oct 2024 20:20:50 +0000, Paul.B.Andersen wrote:
> 
>> Den 25.10.2024 20:41, skrev rhertz:
>>>
>>> In ALL THESE CASES, and even today, the total calculation is based on
>>> the influence of every planet on the precession of Mercury BY USING
>>> GAUSS´S MODEL OF TORUS OF GRAVITATIONAL INFLUENCE by each planet on
>>> Mercury.
>>>
>>> KEEP THIS IN MIND: To calculate the gravitational influence of every
>>> planet (and other celestial bodies) over Mercury for the lapse of 100
>>> years IS IMPOSSIBLE EVEN TODAY, with help of supercomputers. This would
>>> require hundred of millions of calculations to be performed, slicing the
>>> 100 years in FRACTIONS of the orbital period of the fastest planet
>>> (Mercury) and APPLIED TO THE SEGMENTED ORBIT OF THE REST OF THE PLANETS.

>>
>> You don't need a supercomputer to make hundreds of millions of
>> calculations.
>> I have simulated the solar system for 10 thousand years,
>> and simulated the perihelion advance for all the planets.
>> It's done in 15 hours on my computer.
>> Hundreds of millions calculations is a GROSS underestimation!
>>
>> https://paulba.no/Application.html
>> https://paulba.no/SolarSystem/GRSolarSystem.jar
>> https://paulba.no/SolarSystem/GRSolarSystem.pdf
>> https://paulba.no/SolarSystem/MercuryAdvance.pdf
>>

>>>
>>> At every step, a calculation of the perturbations of one planet over
>>> each other HAS TO BE COMPUTED. Then, step by step, such result HAS TO BE
>>> APPLIED as the input of the next step in parametric calculations. No
>>> analytical expression can be written to contemplate this N-Body problem,
>>> and the only way is to compute each influence step by step in a
>>> supercomputer, which lead to almost infinite calculations for the 100
>>> years period.

>>
>> Quite.
>> https://paulba.no/SolarSystem/GRSolarSystem.pdf
>> See equations (11) to (20)
>>
>> This calculation is done every 5. second true time.
>> That's 61.5 billion times to simulate 10 thousand years.
>>
>> And this is not the calculation that costs most calculations.
>> To determine the point of perihelion, the distance planet-sun
>> has to be compared to the previous distance to find the minimum.
>> This has to be done for _all_ the planets.
>>
>> My computer can make 150 billion flops/second.
>> So in 15 hours it can make 8100 terra flops.
>>
>> You have to update you knowledge of what a modern computer,
>> which is NOT a supercomputer, can do!

> 
> Pathetic, Paul. Really pathetic.
> But what to expect from a narcissist idiot like you?
> 
> You are IGNORANT, imbecile, deceiver, vain and arrogant IDIOT!

Your well formulated arguments are as lethal as always.
Well done, Richard. :-D

> 
> 1) Your stupid, childish paper "Simulation of the solar system according
> to GR", which you posted last year, is based on ISOLATED parameters for
> Keplerian orbits and State Vectors (xyz position and velocity of
> planets), which is available FOR FREE at the site of NASA JPL Horizon.
> It only contemplates orbital parameters of each planet, DISMISSING the
> influence of the other planets on the target planet. Any HS kid could
> have done such a paper, and probably better, looking LESS IDIOTIC.

What are you talking about? :-D

A _simulation_ starts with finding the initial positions and velocities
of all the planets and Sun in the centre of gravity frame of reference
at a specific time, in this case EPOCH J2000.

Then the acceleration of each of the nine bodies
caused by the pull of the other 8 bodies, is calculated,
and the new velocity and position of each body is found.

As explained here:
https://paulba.no/SolarSystem/GRSolarSystem.pdf
See equations (11) to (20)

You can even see the code:
https://paulba.no/SolarSystem/Code.pdf

> 
> Here, go to gather more reliable data, imbecile. They resolve orbits of
> planets, moon, comets and asteroids with less than 1 second resolution,
> and over hundred of years. You can download Megabytes of data there:
> 
> https://ssd.jpl.nasa.gov/horizons/

The data to find the initial positions and velocities:
https://paulba.no/pdf/Simon.pdf

"Provided by the NASA Astrophysics Data System"
A very reliable source of data.

> 
> 2) You are completely IGNORANT of the tiny effects of the remaining
> planets over Mercury's precession, which REQUIRES the impossible
> solution of the 8-Body problem (even more with pseudo-planets). This
> problem, I repeat, has no analytical solution and ONLY BY NUMERICAL
> CALCULATIONS (which are recursive, due to the influence of one planet
> over others) it could be APPROXIMATED.

You are so funny when you make a fool of yourself by demonstrating
that you haven't understood anything of what I have told you. :-D
It is not an analytical solution.

I have _simulated_ the precession of Mercury for 10 thousand years.
Here it is _again_:
https://paulba.no/SolarSystem/MercuryAdvance.pdf

It's a nine body problem, and no problem to _simulate_.
Why do you believe it is impossible? :-D

The perihelion advance of Mercury is ~574"/century.
~73 "/century is caused by Sun, the rest ~501"/century
is caused by the pull from the other 7 planets.

Why do you find 501"/century to be a tiny effect?

> 
> To do such parametric calculations, the orbit of planets has to be
> decomposed IN TEMPORAL SEGMENTS based on the Period of Mercury, over 100
> years or more. Being the period of Mercury 87.97 days, units of temporal
> calculations should be about 1 hour, during which Mercury moved 170,000
> Km on his perimeter.
> 
> This represents 876,172 complex calculations upon Mercury over 100
> years. Each calculation has to include first order (decoupled) and
> second order calculations from the other 8 planets, including Pluto.
> Each complex calculation involves 266,391,926 calculations, giving the
> huge number of 233,405,146,750,829 parametric calculations over 100
> years.
> 
> 3) But such large number IS NOT ENOUGH. It only contemplates the
> position and velocity (xyz state vectors) for Mercury's orbit over 100
> years. NOW, it's necessary to contemplate the EFFECTS OVER PRECESSION.
> 
> Additional calculations, based on LRL (Laplace–Runge–Lenz) vector, have
> to be applied to each instance, driving the number of total calculations
> to ABSURDLY HUGE numbers.
> 
> Now, try to do the above with your fucking PC.

I _have_ done the simulation on my PC.

You have yet again made a fool of yourself by
claiming that it can't be done.

-- 
Paul

https://paulba.no/