I am trying to understand how to use the lorentz transformation to calculate things and I have a few questions about it.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose I have a circle of radius 1 in frame K which is at rest. Frame k' is moving at velocity v relative to frame k. What would the circle look like to someone in frame k' as they pass by it?

Can I just apply lorentz equation straight to the equation of the circle?

Rest frame k

x(u)=Cos(u)

y(u)=Sin(u)

moving frame k'

x'(u)=(cos(u)-v*t)*gamma

y'(u)=Sin(u)

then if I graph the above parametric equation for frame k' would that be what the circle would like to the person as they move by?

I really want to nail this stuff down. I don't understand why this reference frame stuff confuses me so much. It should be simple. Thanks for the help in advance

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# Applying the lorentz transformation

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