On 2024-07-20 7:01 a.m., John Goodman via sundial wrote:
My ultimate objective is to find the sun's hour angle on a given day, in a 
given location, when it reaches a selected azimuth.

John, here's my attempt. I've never used this result so my calculation needs checking.

Cheers,

Steve


/δ/is solar declination

/φ /is latitude

/ω/is hour angle

/γ/is azimuth

Solar position vector S is

//

so

Rearrange:

Above equation is of form:

Using trig identities:

where and

in which case

or

or

We have to watch out for quadrant in inverse functions.
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