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               GeoAstro Applets  | 
            
               Astronomy  | 
            
               Chaos Game  | 
            
               Java  | 
            
               Miscel- laneous  | 
          
  Daylight
          Applet / Tageslicht-Applet 
The
graphic
          lines for sunrise, sunset and twilight times don't take into
          account daylight saving time.
          During Daylight Savings the lines shift up by 1 hour, except
          for the Sun position marker. 
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                 Select your location from the menu list,  | 
            
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                 in the location database (Heavens Above): 2 million towns and villages world-wide, or in my small database here Select latitude (northern positive, southern negative),and longitude (eastern positive, western negative) from the menus.  | 
            
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                 Find the time zone (and Coordinates) of cities worldwide: The World Clock Interactive time zone map of countries around the world.  | 
            
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                 you may use the keys "h", "d", "m" to increase the hour, date, or month,  | 
            
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                 you may enter your home location and change the horizon view image  | 
            
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                 can be written to a data window  | 
            
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                 Select from the menu to see the horizon at the selected location and time, or the word map showing day and night regions, or the sunshine hours per month.  | 
            
Compare:
        Night
Hours
              Applet
      
Compare: Solstice Daylight Applet
Select "Month" or "Year" from the
            "Write..." menu to open the data window
            showing sunrise, sunset and twilight times: 

      
 
 

      
Select "Summary Year" from the "Write..." menu:

      
The longest day (sommer
            solstice) is not
            the day of earliest surise and/or latest sunset,
          the shortest day (winter
            solstice) is not the day of latest
            surise and/or
            earliest sunset !
          
      
Select "Seasons" from the "Write..." menu:

      
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Daylight
            hours 2005 Berlin (52.51° N):
          mean of 12.29 hours per day, total 4485.56 hours.
        

        
Daily
            difference of daylight 2005 Berlin (52.51° N):
          near the equinoxes the absulute
            difference is a maximum (4 minutes).
          

           Select "Draw Daylight" from the
            "Write/Draw" menu
      

      
Select "Duration of Sunlight" from the "View" menu
            (calculating for 1 or 2 minutes):
          Duration of Sunlight depending on the Date and the Latitude
          Computed using the diurnal arc of the Sun
            (arc described by the Sun while above the horizon):
            α = arcos((cos(z)-sin(latitude)*sin(declination)/(cos(latitude)*cos(declination))
            z=distance from the zenith (90.833° at rise/set)
          duration
            of daylight: T=2*(α/360°)*24h
            
          

      
Difference
            of daylight per week 2005 Berlin (52.51° N):
          near the equinoxes the absolute
            difference is a maximum (30 minutes).
          
Select "Sunrise/Lat." from the "Write/Draw"
            menu:
          
            
            
          
          
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                 Due to the excentricity of the Earth's path, the percentage of daylight hours over a year is greater than 50 % for all latitudes ! (semidiameter of the Sun and atmospheric refraction taken into account). 
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                 The latest sunrise and the earliest sunset do not occur on the day of winter solstice. The dates are different and depend on the geographical latitude. 
 The sunrise/sunset diagram is for Berlin (52.51° N, 13.41° E): Latest sunrise (2002): Earliest sunset (2002): For higher northern latitudes the date of latest sunrise will be earlier, and the date of earliest sunset will be later.  | 
            
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                 Shortest day: 
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                 Longest day 2004:  | 
            
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                 Earliest sunrise 2004:  | 
            
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                 Latest sunset 2004:  | 
            
 Look for details and explanations:
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                 civil twilight: nautical twilight: astronomical twilight:  | 
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                 twilight diagram 
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                 Twilight duration at 0° N (minutes before rise): 
 
 
 
 Twilight duration at 30° N (minutes before rise): 
 
 
 Twilight duration at 60° N (minutes before rise):  | 
              
                
 
 
 
 
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                 the elevation (above horizon) and azimuth angle of
                  the sun 0º = N, 90º = E 
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                 enter latitude, and
                  press return key  | 
              
                 - degrees latitude as  | 
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                 enter longitude, and
                  press return key  | 
              
                 - degrees longitude as
                  a  | 
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                 Look up your coordinates:  | 
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                 The coordinates of the user location are stored (during applet lifetime) and can be recalled by the location menu item "User Input".  | 
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                 Change the parameter values of "location", "latitude" and "longitude" parameters: 
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                 <APPLET CODE="daylightxxx.class"
                  archive="Applet/JavaClasses.jar" <PARAM name="email" value="replace"> </APPLET>  | 
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                 time difference between zone time and Greenwich Time (GMT ) e.g. -5 h is the value computed from the longitude, which may differ from the actual time zone offset. If necessary, select the correct time zone offset from the menu.  | 
              
                 Central European Daylight Time = GMT + 2 hours  | 
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                 the declination and Greenwich-Hour-Angle (GHA) are the coordinates (latitude and longitude) of the sun's Geographical Position (GP), where the line from the sun to the centre of the earth intersects it's surface. 
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                 The Equation of time is the difference between the time determined by a sundial and the clock time. It is due to the obliquity and the unequal motion of the sun (ellipse).  | 
              
                 For detailed information:  | 
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                 The total of daylight hours per month and per year is written to the diagram.  | 
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                 Length of Day (Herbert Glarner) Comparative
                        Lengths of Days and Nights Frühester Sonnenuntergang, kürzester Tag, spätester Sonnenaufgang - ein Rätsel?  | 
            
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Last
            Modified: 2023, Oct 04