Am working my way through relativistic mechanics, and one force transform (Fx) I derive has an extra factor in one term. Of the many textbooks I have, the only one that presents those equations is Resnick – Introduction to Special Relativity. And it doesn’t look like even he derived them, but copied them from another ~1960 reference that I can’t find. So it is possible that there could be a typo mistake. Can anyone confirm his results for that transform? I’ll try to type his equation for the x-force (along the common x-axes, prime system has positive relative velocity, etc.)(adsbygoogle = window.adsbygoogle || []).push({});

Fx’ = [Fx – beta u*F/c]/[1-ux v/c^2]

My extra factor is 1/[1-u*u/c^2] in the (beta u*F/c) term.

(u and F are vectors, * is the dot product, v is relative frame velocity along the x-axes, u is the object velocity, ux is the object velocity component parallel to the x-axes, etc.)

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# Relativistic forces

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