The Tridecadal Korean (astralblue) wrote,
The Tridecadal Korean
astralblue

I Hate Trigs

Care to reduce?

2sin−1(sqrt((1−cosφ1cosφ2cos(θ1θ2)−sinφ1sinφ2)/2))

Reducing this would work too. _-_ (P=cos(θ1θ2))

2sin−1(sqrt((1−Pcosφ1cosφ2−sinφ1sinφ2)/2))

By the way, the formula above is the angle ∠AOB where A and B are two points with spherical coordinates (ρ,(π/2)−φ1,θ1) and (ρ,(π/2)−φ2,θ2), ρ≠0, and O is the origin.  ((π/2)−φ means that φ is the latitude, not the azimuth.)

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