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    Re: Latitude by Venus, Longitude by Sun
    From: Antoine Couëtte
    Date: 2024 Jan 11, 10:07 -0800

     A bit late ...

    Venus 13:40:00 UT  Hs = 44°59.3' : Height correction -5.8', hence Ho = 44°53.5'

    I did not perform parallax correction, neither temp correction, both being [well] under 1'.

    With Venus Dec = -3°40.1' get approximate Latitude at N41°26.4' and "very approximate longitude" = Venus GHA  = W 071°07.8'

    For the Sun at 13:40:35 UT get : GHA = 28°45.3' Dec = -19°42.4'

    With SUN LL Hs 17°05' , get a correction of +8.2' hence Ho = 17°13.2' probably more sensitive to Temp because Refraction is higher. I did not correct for either temp, QNH or Departure from average SD.

    As regards the Sun Ho, and from the well known Height Formula :

    - We know Latitude (N41°26.4')

    - We know Declination (-19°42.4')

    - We know Ho (17°13.2')

    So we can compute "T" (SUN LHA).

    I am assuming this is where you are leading us to, non ?

    Get cos SUN LHA = 0.735689 , hence LHA = 42°38.1' .

    Longitude = SUN GHA + SUN LHA = 28°45.3' + 42°38.1' = W 071°23.4'

    So Observer's approximate position is : N41°26.4' / W071°23.4'

    Overkill method : (i.e. LOP's) 

    Venus 13h40:00 Hs = 44°59.3' / Sun LL 13h40m35,0s Hs = 17°05.0'

    With only this data (+ environmental data of course)

    Get N41°26.4' / W 071°23.4' ...

    Same position. 

    Thanks for the drill

    Kermit

       
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