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    Re: Position from a Moon-Venus photo
    From: Antoine Couëtte
    Date: 2025 May 3, 04:17 -0700

    Thanks Frank for your solution at Dhekelia Base UK sovereign zone on Cyprus.

    Thanks also for the extra info : the Photo was taken exactly 46 minutes before sunrise.

    Since from N34°35' / E032°59' on April 25th, 2025 the Sun rose at 03h04m30s, the photo was taken at 02h18m30s.

    At 02h18m30s UT, the Sun was 9.7° below the Horizon, and with S 8.844/99.7, Moon Center 9.727/99.0 and V 12.323/97.5 , we have the following "pseudo-Azimuths" as earlier defined : SV 327.7°, SM 321.6° and V-M 6.1°. 

    This 6.1° value compares extremely well with the 6.0° measured  on the picture.

    On the other hand, on the photo I measured SV 327.2° , SM 321.2° and V-M 321.2° .

    So the tilt in the photo was only 0.5°. Very good starting up assumption, Frank.

    This small "off-vertical" 0.5° tilt brought a quite significant change in the distance between computed fixes : 150 Nm between Dhekelia and N34°/E30°/UT=02:15.

    Lesson learnt :

    (1) - My initially published position at N34°/E30°/UT=02:15 is nowhere in the vicinity of Cairo which is at Latitude 30° and not 34°.

    This earlier position in the south west of Cyprus somewhere in the Med should have better caught my attention about other actually existing places with SV 327.2° and SM 321.2° since it is a land based photo.

    (2) - Solving for Lat / Lon and UT - 3 angles as a matter of fact - from just 2 angles (SV and SM)  as per my early attempt was simply not possible because it actually constitutes an undeterminate problem with an infinity of solutions.

    (3) - Adding up one extra angle, i.e. the time between the photo and the Sunrise, removes all causes for undetermination. Again : 3 angles yield 3 angles. I should have remembered.

    Last but not least :

    (4) - What is your advocated method of using the Moon Horns orientation to solve this problem, Frank ?

    *******

    Thanks Frank for this very interesting problem, and thanks to you too Dave for your various contributions here.

    Kermit

       
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