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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: "Paul.B.Andersen" <relativity@paulba.no>
Newsgroups: sci.physics.relativity
Subject: Re: Gravitational red-shifting in the biggest star. What are the real
 colors?
Date: Sun, 29 Sep 2024 13:42:18 +0200
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Den 28.09.2024 04:34, skrev rhertz:
> This link illustrates a bit:
> 
> https://en.wikipedia.org/wiki/Gravitational_redshift
> 
> Using the most common formula from that link: "To first approximation,
> gravitational redshift is proportional to the difference in
> gravitational potential divided by the speed of light squared"
> 
> Δf/f = Δλ/λ = z = GM/c² (1/R - 1/r) = Φ(R)/c² - Φ(r)/c²

  Δλ/λ = GM/Rc²  observed at infinity  (r -> ∞)

https://www.space.com/41290-biggest-star.html
> 
> G = 6.6743E−11 m^3 kg^−1 s^−2
> M = 5E+09 x 1.989E+30 Kg = 9.945E+39 Kg
> R = 1,700 x 634,000 Km = 1,077,800,000,000 m
> 
> 
> Φ(R)/c² = 6,842,736.59

 From whence did you get the idiotic idea that the mass
of UY Scuti was 5 billion solar masses? :-D

M = 30 solar masses =  5.967e31 kg
R = 696340e3⋅1700 m = 57868e6 m
c = 299792458 m/s

Δλ/λ = GM/Rc² = 7.65e-7

Which is less than the red shift from the Sun.

> 
> In comparison, Φ(RSun)/c² = 0.000002327

M = 1.989E+30 kg
R = 696340e3 m

Δλ/λ = GM/Rc² = 2.12e-6



> 
> WHAT IS WRONG WITH MY CALCULATIONS, BASED ON THE WIKI LINK?

Now you know.

-- 
Paul

https://paulba.no/