The newtonian physics velocity transformation is tex2html_wrap115 .

This is not correct relativistically.

tex2html_wrap116

tex2html_wrap117

So, tex2html_wrap118 , tex2html_wrap119 , tex2html_wrap120

This can be rewritten as:

tex2html_wrap121 , tex2html_wrap122 , tex2html_wrap123

This can be further rewritten in the perpendicular and parallel directions.

The angle of the path to the z axis changes under boost to:

tex2html_wrap124

For photons, ths limits to:

tex2html_wrap125

source psfile jl@crush.caltech.edu index