# Tag Info

First we can use the definitions of w, u, alpha, and beta to define $$\frac{w}{u} = \tan\alpha$$ $$u = Vcos(\alpha)cos(\beta)$$ Now lets look closer at the first equation you provided using the definitions above: \frac{d\alpha}{dt} = \frac{1}{1+\frac{w^2}{u^2}} \left(\frac{w'}{u}-\frac{u'w}{u^2}\right) = \frac{1}{1+\tan^2\alpha} \left(\frac{w'}{...