Spherical Astronomy Problems And Solutions //top\\ Link

Earth rotates, but the stars (mostly) stay put. Astronomers have to constantly switch between what they see and where the star actually is.

Worked examples

Define the astronomical triangle with vertices at the Zenith ( ), North Celestial Pole ( ), and the Star ( Identify known sides: Calculate Zenith Distance ( ) using the : spherical astronomy problems and solutions

cosine open paren phi close paren tangent open paren delta close paren equals sine open paren phi close paren cosine open paren cap H close paren plus sine open paren cap H close paren cotangent open paren cap A close paren Step-by-Step Problem: Equatorial to Horizontal Conversion : Find the altitude ( ) and azimuth ( ) of a star with declination and hour angle as seen by an observer at latitude University of Sheffield 1. Define the Triangle Sides Identify the arcs of the PZX triangle: is the hour angle 2. Calculate Zenith Distance Apply the Cosine Rule for sides to find cap Z cap X Earth rotates, but the stars (mostly) stay put