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Re: Pseudoscience III: Each SR/GR experiment is a FRAUD!

Subject Re: Pseudoscience III: Each SR/GR experiment is a FRAUD!
Newsgroups sci.physics.relativity
References (6 earlier) <vd3m0a$6irg$1@dont-email.me> <39235ef7b6b2134a55a750c1b886e553@www.novabbs.com> <vd4eeh$bpi6$1@dont-email.me> <046d1407bef075dc3d59ff365e1028c5@www.novabbs.com> <fca9f496cf11db9cfc99e192c5d8faf1@www.novabbs.com>
From "Paul B. Andersen" <relativity@paulba.no>
Message-ID <KeyJO.1610016$1pff.1208950@fx05.ams4> (permalink)
Organization Eweka Internet Services
Date 2024-09-27 15:18 +0200

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Den 27.09.2024 00:27, skrev rhertz:
> Paul, more beating on you. I feel bad.
> 
> 1) Check AGAIN the Hafele's chart. from 1971. Use the red line for h=0.
> 
> 2) Check out this comparison: Mudrak 2017 (Galileo) vs. Hafele 1971.
> 
> Feel ashamed or stupid. These are your only choices, old man.
> 
> ************************************************************
> 
> Mudrak's 2017 formula for GNSS Galileo:
> 
> Δf/f₀ = -GMₑ/c²r - (-GMe/c²a (1 + J₂/2)) - (vˢᵃᵗ)²/2c² + (aΩₑ)²/2c²
> 
> J₂/2 = 0.0005413134 (DISCARDED FOR BEING << 1)

But to find Δf/f₀ with a precision 1E-14 you can't
ignore the quadrupole moment.

https://paulba.no/pdf/Clock_rate.pdf

> 
> Δf/f₀ = -GMₑ/c² (1/r - 1/a) - 1/2c² [(vˢᵃᵗ)²+ (aΩₑ)²]
> 
> If a (satellite height) is only "h" times higher than r (i.e. 10 Km),
> then
> 
> Δf/f₀ = gh/c² - [(vˢᵃᵗ)²+ (rΩₑ)²]/2c²   ----- Mudrak 2017

Correcting typo:
Δf/f₀ = gh/c² - [(vˢᵃᵗ)² - (rΩₑ)²]/2c²   ----- Mudrak 2017

> 
> Δτ/τ₀ = gh/c² - (2RΩv + v²)/2c² ------------ Hafele 1971
> 
> Does it rings any bell on the void of your skull, or should I explain?

You don't have to explain, I can guess what your blunder is:

You think the kinematic terms are different in the two equations.

> 
> Who made a fraudulent approximation in GR using Schwarzschild?
> 
> I'll cease to post on this thread, because I'm bored as hell with you.

I can understand why you are frustrated by being proven wrong again and 
again.

And again:

See equation (12)in:
https://paulba.no/pdf/H&K_like.pdf

The kinematic term can be written:  +(v₁² - v₂²)/2c²
where v₁ is the speed in the ECI frame of the clock on the ground.
and v₂ is the speed in the ECI frame of the moving object.

In Mudrak's case v₁ = rΩₑ and v₂ = vˢᵃᵗ, so obviously:

+(v₁² - v₂²)/2c² = - [(vˢᵃᵗ)² - (rΩₑ)²]/2c²

In Hafele's case it is not so obvious because v is the ground speed.
v is positive for the eastward trip and negative for the westward trip.

  v₁ = RΩ and v₂ = RΩ + v

v₁²-v₂² = (RΩ)² - (RΩ + v)² = (RΩ)² -((RΩ)² + 2RΩv + v²) = -(2RΩv + v²)

+(v₁² - v₂²)/2c² = - (2RΩv + v²)/2c²

So the two equations are equal.

-- 
Paul

https://paulba.no/

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Thread

Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-24 22:25 +0000
  Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-09-25 13:48 +0200
    Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-25 15:59 +0000
      Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-25 16:39 +0000
        Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul B. Andersen" <relativity@paulba.no> - 2024-09-25 22:56 +0200
          Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-25 21:54 +0000
            Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-26 01:14 +0000
              Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! tomyee3@gmail.com (ProkaryoticCaspaseHomolog) - 2024-09-26 13:41 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! tomyee3@gmail.com (ProkaryoticCaspaseHomolog) - 2024-09-27 01:24 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-27 02:41 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! tomyee3@gmail.com (ProkaryoticCaspaseHomolog) - 2024-09-27 05:14 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! tomyee3@gmail.com (ProkaryoticCaspaseHomolog) - 2024-09-27 22:02 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! Maciej Wozniak <mlwozniak@wp.pl> - 2024-10-01 23:53 +0200
            Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-09-26 15:04 +0200
              Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-26 16:04 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-09-26 22:01 +0200
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-27 00:47 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul B. Andersen" <relativity@paulba.no> - 2024-09-27 13:53 +0200
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-27 20:13 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-09-28 21:49 +0200
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-28 22:58 +0000
                Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul B. Andersen" <relativity@paulba.no> - 2024-09-27 15:18 +0200
      Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-09-25 21:16 +0200
        Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-25 20:40 +0000
    Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! Richard Hachel <r.hachel@liscati.fr.invalid> - 2024-09-25 16:39 +0000
    Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! Richard Hachel <r.hachel@liscati.fr.invalid> - 2024-09-25 16:46 +0000
  Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! bertietaylor@myyahoo.com (bertietaylor) - 2024-09-26 03:37 +0000
  Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! nospam@de-ster.demon.nl (J. J. Lodder) - 2024-09-30 23:37 +0200
    Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! hertz778@gmail.com (rhertz) - 2024-09-30 23:16 +0000
      Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! "Paul.B.Andersen" <relativity@paulba.no> - 2024-10-01 13:27 +0200
        Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! Maciej Wozniak <mlwozniak@wp.pl> - 2024-10-01 23:57 +0200
          Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! Richard Hachel <r.hachel@liscati.fr.invalid> - 2024-10-01 22:21 +0000
      Re: Pseudoscience III: Each SR/GR experiment is a FRAUD! nospam@de-ster.demon.nl (J. J. Lodder) - 2024-10-05 10:58 +0200

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