Coriolis bank angle for eastward flight ($\tan \theta =2\Omega v\sin \lambda /g$)

For a locally eastward aircraft velocity at northern latitude $\lambda$, the horizontal Coriolis acceleration is southward with magnitude $2\Omega v\sin \lambda$. Banking to direct part of the lift northward cancels this acceleration. If vertical lift balances weight, the force ratio gives the displayed angle. Including vertical Coriolis acceleration replaces $g$ by $g-2\Omega v\cos \lambda$. This is a local rotational correction, not a full navigation model of motion along a curved latitude circle.