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The Geometry of the Heavens: Problems and Solutions in Spherical Astronomy

Astrometry is the branch of astronomy that deals with the measurement of the positions and motions of celestial objects. Astrometry is essential for understanding the fundamental parameters of celestial objects, such as their distances, masses, and orbital parameters. spherical astronomy problems and solutions

Spherical Law of Sines:
$$\frac\sin a\sin A = \frac\sin b\sin B = \frac\sin c\sin C$$ The Geometry of the Heavens: Problems and Solutions

Earth isn’t a perfect top; it wobbles like a toy slowing down. This means "North" changes over thousands of years. $\tan(40) \approx 0