) a star must have to be circumpolar (never set below the horizon)?
θ=arccos(0.8270)≈34.21∘theta equals arc cosine 0.8270 is approximately equal to 34.21 raised to the composed with power spherical astronomy problems and solutions
cosHs=−tan(51.5∘)tan(23.5∘)cosine cap H sub s equals negative tangent open paren 51.5 raised to the composed with power close paren tangent open paren 23.5 raised to the composed with power close paren ) a star must have to be circumpolar
cosz=sinϕsinδ+cosϕcosδcosHcosine z equals sine phi sine delta plus cosine phi cosine delta cosine cap H Since the star is setting, . Substitute this into the formula: . Substitute this into the formula: