$$\frac\sin a\sin A = \frac\sin b\sin B = \frac\sin c\sin C$$

$$0 = \sin\phi \sin\delta + \cos\phi \cos\delta \cos H$$

$$ \cos(90^\circ - h) = \cos(90^\circ - \phi)\cos(90^\circ - \delta) + \sin(90^\circ - \phi)\sin(90^\circ - \delta)\cos(H) $$ Simplified: $$ \sin h = \sin \phi \sin \delta + \cos \phi \cos \delta \cos H $$

where P is the orbital period, a is the semi-major axis, G is the gravitational constant, and M is the mass of the central body.

The date was November 14th. The wind howled against the aluminum siding, rattling the observation deck, but Elias didn't hear it. He was staring at the clock.