Use sine formula: [ \sin A = \frac\cos\delta \sin H\cos a ] (\cos\delta = 0.9397,\ \sin H = 0.5,\ \cos a = \cos57.5^\circ \approx 0.5373)
Astronomers use the to find the angular separation ( ) between two points The Formula: spherical astronomy problems and solutions
ϕ≥90∘−31∘53′phi is greater than or equal to 90 raised to the composed with power minus 31 raised to the composed with power 53 prime Use sine formula: [ \sin A = \frac\cos\delta
These formulas and constants are used to calculate the positions of celestial objects and to correct for various effects in spherical astronomy. \ \sin H = 0.5
But simpler classic formula: [ \phi = \fraca_max + a_min2 ] [ \delta = \fraca_max - a_min2 ] Yes – because the pole’s altitude equals the average of the two extreme altitudes of a circumpolar star.