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Solar Angles

Solar Angles. Describe the sun position relative to a vertical surface. Solar Altitude: β (beta). Vertical angle to sun position. Solar Azimuth: Φ (phi). Horizontal bearing angle from south. Surface Azimuth: Ψ (psi). Surface horizontal bearing angle from south.

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Solar Angles

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  1. Solar Angles Describe the sun position relative to a vertical surface

  2. Solar Altitude: β (beta) Vertical angle to sun position

  3. Solar Azimuth: Φ (phi) Horizontal bearing angle from south

  4. Surface Azimuth: Ψ (psi) Surface horizontal bearing angle from south

  5. Surface Solar Azimuth: γ (gamma) Angle between solar and surface azimuths γ = Φ - Ψ

  6. Sign Conventions Angles east of south are negative Angles west of south are positive 90º -90º + - S 45º -45º 0º

  7. 30º -45º Calculating Surface Solar Azimuth γ = Φ – Ψ For example: Building façade is oriented south east (Ψ =-45º) Solar azimuth (ϕ) is 30º west of south γ = 30º – (-45º) = 75º Note: |γ|≥ 90º, façade in shade

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