Path: ...!eternal-september.org!feeder2.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: hertz778@gmail.com (rhertz) 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 01:11:59 +0000 Organization: novaBBS Message-ID: <39b67deb32ae30a9a64228156821d2f1@www.novabbs.com> References: <52e47bd51177fb5ca4e51c4c255be1a6@www.novabbs.com> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Info: i2pn2.org; logging-data="3830010"; mail-complaints-to="usenet@i2pn2.org"; posting-account="OjDMvaaXMeeN/7kNOPQl+dWI+zbnIp3mGAHMVhZ2e/A"; User-Agent: Rocksolid Light X-Spam-Checker-Version: SpamAssassin 4.0.0 X-Rslight-Site: $2y$10$YNBhOFE.vsiTYxC9zkEON.Qa0yGS3QVZfMap354I1ZnE5gPLL/ANm X-Rslight-Posting-User: 26080b4f8b9f153eb24ebbc1b47c4c36ee247939 Bytes: 8508 Lines: 189 On Sat, 26 Oct 2024 20:20:50 +0000, Paul.B.Andersen wrote: > Den 25.10.2024 20:41, skrev rhertz: > https://paulba.no/pdf/GRPerihelionAdvance.pdf > https://paulba.no/pdf/GRPerihelionAdvance.pdf > >> >> 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! 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. 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/ 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. 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. And more yet: LRL vector utilization is based on a CONTINUOUS FLOW OF TIME, as it's based on the N-Body problem. This raise the number higher. Learn something here, brute animal: https://en.wikipedia.org/wiki/Laplace%E2%80%93Runge%E2%80%93Lenz_vector https://www.atlantis-press.com/article/637.pdf https://www.cds.caltech.edu/~marsden/wiki/uploads/projects/geomech/Alemicds205final.pdf 3) Regarding your own supercomputer of 150 GFlops/sec, I recommend posting it in the site 500.org, because it's a beast. It doubles the advertised power of Intel Core i7. But of course that you know that this is THE INVERSE OF THE TIME FOR ADDING TWO NUMBERS, don't you? When multiplications and divisions are measured, the number of GFlops drop 100 times. PLUS: to compute a formula, each operation with variables has to be included so, for something so simple as Newton's law of gravitation, the number of GFlops drop to MFlops, having you to include the single line of code. But you probably got a PC with Intel Core i9, in the range of TFlops. Good luck with your electricity bill, as it get very, very hot. Later, the uP cracks down. I was going to attach some figures about the use of LRL in the precession of Mercury, but you don't worth the effort. You are a delusional, irrecoverable relativist who have no limits to defend yourself by using DECEPTIVE INFORMATION. You even MANUFACTURE IT, pretentious charlatan! You never explained WHY do you sustain a website with your name, full of published papers (I hope you have the CR authorizations), PLUS some stupid papers of your own, which are A PLAGIARISM from other sources, Einstein. Is that you are a fucking vain, narcissist elder? Do you need that so much? Keep laughing, imbecile + ignorant + relativist (I don't know which name is worse). ========== REMAINDER OF ARTICLE TRUNCATED ==========