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From: hertz778@gmail.com (rhertz)
Newsgroups: sci.physics.relativity
Subject: Re: Gravitational red-shifting in the biggest star. What are the real
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Date: Sat, 28 Sep 2024 02:34:50 +0000
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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

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

In comparison, Φ(RSun)/c² = 0.000002327



At r = 10,000,000 R = 10,077,800,000,000,000,000 m

Φ(r)/c² = 0.684273659


Δf/f = Δλ/λ = z = 6,842,736


The z-value can be expressed succinctly in terms of the escape velocity
at R, since the gravitational potential is equal to half the square of
the escape velocity, thus:

z = 1/2 (v_escape/c)²

v_escape = 3699.4 c

But then, light can escape from UY Scuti.

Yet, it was discovered in 1860.



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