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No rush; thank you. I appreciate you applying your brain to my concerns!

> On Jul 20, 2024, at 12:11 PM, Steve Lelievre 
> <steve.lelievre.can...@gmail.com> wrote:
> Oh, no! I think I may have my initial term for tan gamma inverted, so my 
> result would be an angle relative to EW.
> 
> I have to go out for the day now, but will check my calculation when I get 
> home.
> 
> Steve
> 
> 
> 
> On 2024-07-20 8:50 a.m., Steve Lelievre wrote:
>> 
>> 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.
>> 
> -- 
> https://www.gnomoni.ca <https://www.gnomoni.ca/>
> https://www.youtube.com/@gnomonica
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> 


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