It's #WinterSolstice, that is the shortest daytime in the Northern Hemisphere. Today's daytime in hours is given by this function
Daytime (Φ) = 24×cos⁻¹(tan(Φ)tan(23.5°))/180°,
where 0°<Φ<66.5° is the latitude measured in degrees.
#Maths #Trigonometry #WinterSolstice2018
Daytime (Φ) = 24×cos⁻¹(tan(Φ)tan(23.5°))/180°,
where 0°<Φ<66.5° is the latitude measured in degrees.
#Maths #Trigonometry #WinterSolstice2018
Try to derive the above formula by calculating the length of the sunny arc on any given circle of latitude.
And of course, assume that the Earth is a sphere.
And of course, assume that the Earth is a sphere.
By the way the #WinterSolstice daytime function
Daytime(Φ)=24×cos⁻¹(tan(Φ)tan(23.5°))/180°
works in the Southern Hemisphere (i.e. for -66.5°<Φ<0) as well.
Daytime(Φ)=24×cos⁻¹(tan(Φ)tan(23.5°))/180°
works in the Southern Hemisphere (i.e. for -66.5°<Φ<0) as well.
• • •
Missing some Tweet in this thread? You can try to
force a refresh
