Position of the Sun by
            Spreadsheet
            for a month
        
              download  
| Select the table 'input': | |
| 
               Input (red frames): 1) hour UT, min  | 
            ![]()  | 
          
| The table calc performs the calculations, using a lot of auxiliary variables. It should be neglected. | |
| Select elev az to see data and diagrams of elevation and azimuth. | |
| Select E o T for data and diagrams of the Equation of Time. | |
| Select declin dist to see data and diagrams of the declination and distance. | |
| Select orbit to see data and a diagram of the ecliptic orbit. | 

The value
          "elev" is not taking into account the atmospheric refraction.
        
Comparing
          the results "elev" (airless) of the spreadsheet with (4
          decimal places) of HORIZONS
            Web-Interface
          (NASA JPL) the mean absolute error is only (0,0058 ± 0,0011)°.
        


Azimuth is measured North(0°) -> East(90°) -> South(180°)
        -> West(270°) -> North (360°).
      

        
      
| 1991 May, 00:00 UT | mean abs. error | 
            reference | 
          
| azimuth az | 
            (0.036 ± 0.018)° | MICA | 
          
| right ascension RA | 
            (0.0051 ± 0.0012)° | HORIZONS Web-Interface | 
| declination delta | 
            (0.0025 ± 0.0005)° | HORIZONS Web-Interface | 
| ecliptic longitude L | 
            (0.0044 ± 0.0016)° | HORIZONS Web-Interface | 





| sun_month.xlsx
              (Excel, Windows, Mac) sun_month.ods (LibreOffice, recommended, Windows, Mac)  | 
          
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                 | 
            
| 
                 Die Zeitgleichung: Eine einfache Formel zu Sonnenaufgang und Untergang General
                      Solar Position Calculations (PDF) MICA
                  (Multiliyear Interactive Computer Almanac), US
                  Naval Observatory HORIZONS
                      Web-Interface (NASA, JPL)  |