I've been reading the Scott and Viner AJP paper from 1965 "The Geometrical Appearance of Large Objects Moving at Relativistic Speeds" and I am having a little trouble following their derivation of the expression for x in the appendix of the paper.(adsbygoogle = window.adsbygoogle || []).push({});

I understand how they get the expression for t:

[tex]t = -[(x^2+y^2+(z-d)^2)^{1/2}-d]/c[/tex]

Which they put into the Lorentz transformation for x':

[tex]x'=\gamma(x-vt)=\gamma[x+\beta[(x^2+y^2+(z-d)^2)^{1/2}-d]][/tex]

But, then they say that they want to get an expression for x, y, z in terms of x',y',z' which implies that they just solve the above expression for x. But, when I do that, I don't get anything at all like what they get.

I have looked at dozens of papers that reference this one and they all just start with Scott and Viner's results with no discussion of how they get there.

I feel like I'm missing something very simple, but I just don't see it.

Thanks!

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# Trouble following the derivation of Scott and Viner 1965

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