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Twilight: Civil, nautical, astronomical; southernmost / northernmost latitudes.

The extreme southernmost / northernmost latitudes in the Northern / Southern Hemispheres that Civil, Nautical, and Astronomical Twilight can last through local solar midnight or twilight all night, at the Northern / Southern Hemisphere's solstices, also the Arctic, and Antarctic latitudes for these dates and times; calculated using the PHP Science Labs Website, Obliquity of the Ecliptic and Nutation in Obliquity (using IAU 2000B nutation series); i.e true obliquity of the ecliptic, as used by the National Land Survey of Finland, Finnish Geodetic Institute, and the GIT Barents website:                  
        
2013 Northern Hemisphere, summer solstice:
Arctic / Antarctic Circle         66° 33’ 52.049” N / S                  
Civil twilight                           60° 33’ 52.049” N
Nautical twilight                     54° 33’ 52.049” N
Astronomical twilight             48° 33’ 52.049” N

2013 Southern Hemisphere, summer solstice:              
Antarctic / Arctic Circle         66° 33’ 53.249” S / N       
Civil twilight                           60° 33’ 53.249” S 
Nautical twilight                     54° 33’ 53.249” S
Astronomical twilight             48° 33' 53.249” S

2014 Northern Hemisphere, summer solstice: 
Arctic / Antarctic Circle         66° 33’ 54.232” N / S
Civil twilight                           60° 33’ 54.232” N
Nautical twilight                     54° 33’ 54.232” N
Astronomical twilight             48° 33’ 54.232” N

2014 Southern Hemisphere, summer solstice:
Antarctic / Arctic Circle         66° 33’ 55.178” S / N
Civil twilight                           60° 33’ 55.178” S
Nautical twilight                     54° 33’ 55.178” S
Astronomical twilight             48° 33’ 55.178” S

2015 Northern Hemisphere, summer solstice:
Arctic / Arctic Circle               66° 33’ 55.571” N / S
Civil twilight                           60° 33’ 55.571” N
Nautical twilight                     54° 33’ 55.571” N
Astronomical twilight             48° 33’ 55.571” N 

2015 Southern Hemisphere, summer solstice:
Antarctic / Arctic Circle         66° 33’ 55.890” S / N
Civil twilight                           60° 33’ 55.890” S
Nautical twilight                     54° 33’ 55.890” S
Astronomical twilight             48° 33’ 55.890” S

2016 Northern Hemisphere, summer solstice:          Length:
Arctic / Antarctic Circle         66° 33’ 55.941” N / S    15,982.926417462362 km or 9,931.330043460169 miles. 
Civil twilight                           60° 33’ 55.941” N         19,744.162762640396 km or 12,268.453955549836 miles.
Nautical twilight                     54° 33’ 55.941” N         23,286.147101212778 km or 14,469.340986894522 miles.
Astronomical twilight             48° 33’ 55.941” N          26,570.194478309322 km or 16,509.953420964891miles.
                                                                               


2016 Southern Hemisphere, summer solstice:         Length:
Antarctic / Arctic Circle         66° 33’ 55.524” S / N   15,983.000884214218 km or  9,931.376314954552 miles.
Civil twilight                           60° 33’ 55.524” S        19,744.233388049778 km or 12,268.497840144666 miles.
Nautical twilight                     54° 33’ 55.524” S        23,286.213111060426 km or 14,469.382003512255 miles.
Astronomical twilight             48° 33’ 55.524” S        26,570.255154469880 km or 16,509.991123383118 miles. 
                                                                             


2017 Northern Hemisphere, summer solstice:         Length:      
Arctic / Antarctic Circle          66° 33’ 55.078” N / S  15,983.081 km or 9,931.426 international miles.
Civil twilight                           60° 33’ 55.078” N        19,744.309 km or 12,268.545 international miles.
Nautical twilight                     54° 33’ 55.078” N        23,286.284 km or 14,469.426 international miles.
Astronomical twilight             48° 33’ 55.078” N        26,570.320 km or 16,510.031 international miles.

2017 Southern Hemisphere, summer solstice:         Length:     
Antarctic / Arctic Circle         66° 33’ 54.374” S / N    15,983.206 km or 9,931.504 international miles.
Civil twilight                           60° 33’ 54.374” S         19,744.428 km or 12,268.619 international miles.
Nautical twilight                     54° 33’ 54.374” S         23,286.395 km or 14,469.495 international miles.
Astronomical twilight             48° 33’ 54.374” S         26,570.422 km or 16,510.095 international miles.
                                                                                  

2018 Northern Hemisphere, summer solstice:        Length:      
Arctic / Antarctic Circle         66° 33’ 53.296” N / S  15,983.399 km or 9,931.624 international miles.
Civil Twilight                         60° 33’ 53.296” N / S   19,744.611 km or 12,268.732 international miles.
Nautical Twilight                   54° 33’ 53.296” N / S   23,286.566 km or 14,469.601 international miles.
Astronomical Twilight           48° 33’ 53.296” N / S   26,570.579 km or 16,510.192 international miles.
                                                                                  

2018 Southern Hemisphere, summer solstice:       Length:
Antarctic / Arctic Circle         66° 33’ 52.385” S / N  15,983.561 km or 9,931.724 international miles.
Civil twilight                           60° 33’ 52.385” S       19,744.765 km or 12,268.828 international miles.
Nautical twilight                     54° 33’ 52.385” S       23,286.710 km or 14,469.691 international miles.
Astronomical twilight             48° 33’ 52.385” S       26,570.712 km or 16,510.275 international miles.

2019 Northern Hemisphere, summer solstice:        Length:
Arctic / Antarctic Circle         66° 33’ 51.083” N / S  15,983.794 km or 9,931.869 international miles.
Civil twilight                           60° 33’ 51.083” N       19,744.986 km or 12,268.965 international miles.
Nautical twilight                     54° 33’ 51.083” N       23,286.916 km or 14,469.819 international miles.
Astronomical twilight             48° 33’ 51.083” N       26,570.901 km or 16,510.392 international miles.
Area, calculated in the WGS84 ellipsoid:
Arctic / Antarctic  21,204,911.158404 km² or 8,187,261.969961 miles².
Civil Twilight and above i.e. 60° 33’ 51.083” N to 66° 33’ 51.083” N   11,958,971.290329 km² or 4,617,384.629143 miles².
Nautical Twilight and above i.e. 54° 33’ 51.083” N to 60° 33’ 51.083” N  14,390,453.065933 km² or 5,556,184.991160 miles².
Astronomical Twilight and above i.e. 48° 33’ 51.083” N to 54° 33’ 51.083” N 16,656,552.760405 km² or 6,431,130.974669 miles².

2019 Southern Hemisphere, summer solstice:       Length:
Antarctic / Arctic Circle         66° 33’ 49.748” S / N  15,984.032 km or 9,932.017 international miles.
Civil twilight                           60° 33’ 49.748” S       19,745,212 km or 12,269.106 international miles.
Nautical twilight                     54° 33’ 49.748” S       23,287.127
km or 14,469.950 international miles.
Astronomical twilight             48° 33’ 49.748” S       26,571.096 km or 16,510.514 international miles.

2020 Northern Hemisphere, summer solstice:         Length:
Arctic / Antarctic Circle         66° 33’ 48.571” N / S   15,984.243 km or 9,932.148 international miles.
Civil twilight                           60° 33’ 48.571” N        19,745.411 km or 12,269.230 international miles.
Nautical twilight                     54° 33’ 48.571” N        23,287.314 km or 14,470.066 international miles.
Astronomical twilight             48° 33’ 48.571” N        26,571.267 km or 16,510.620 international miles.
Area, calculated in the WGS84 ellipsoid:
Above Arctic / Antarctic Circle 21,206,154.924556 square km or 8,187,742.190757 square miles.
Civil Twilight and above to Arctic Circle, i.e. 60° 33’ 48.571” N to 66° 33’ 48.571” N 11,959,262.667275 square km or or 4,617,497.130411 square miles.
Nautical Twilight and above to lowest latitude for Civil Twilight, i.e. 54° 33’ 48.571” N to 60° 33’ 48.571” 14,390,726.713755 square km or 5,556,290.647175 square miles.
Astronomical Twilight and above to lowest latitude for Nautical Twilight, i.e. 48° 33’
48.571” N to 54° 33’ 48.571” N 16,656,805.720382 square km or 6,431,228.643062 square miles.

2020 Southern Hemisphere, summer solstice:        Length:
Antarctic / Arctic Circle         66° 33’ 47.077” S / N  15,984.509 km or 9,932.313 international miles.  
Civil twilight                           60° 33’ 47.077” S       19,745.664 km or 12,269.387 international miles.      
Nautical twilight                     54° 33’ 47.077” S       23,287.550 km or 14,470.213 international miles.        
Astronomical twilight             48° 33’ 47.077” S       26,571.484 km or 16,510.755 international miles.

2021 Northern Hemisphere, summer solstice:         Length:
Arctic / Antarctic Circle         66° 33’ 45.883” N / S   15,984.723 km or 9,932.446 international miles.
Civil twilight                           60° 33’ 45.883” N        19,745.866 km or 12,269.512 international miles.
Nautical twilight                     54° 33’ 45.883” N        23,287.739 km or 14,470.330 international miles.
Astronomical twilight             48° 33’ 45.883” N        26,571.658 km or 16,510.863 international miles.
Area, calculated in the WGS84 ellipsoid:
Above Arctic / Antarctic Circle 21,207,485.872096 square km or 8,188,256.072475 square miles.
Civil Twilight and above to Arctic Circle, i.e. 60° 33’ 48.571” N to 66° 33’ 48.571” N 11,959,574.457086 square km or or 4,617,617.513130 square miles.
Nautical Twilight and above to lowest latitude for Civil Twilight, i.e. 54° 33’ 48.571” N to 60° 33’ 48.571” 14,391,019.531873 square km or 5,556,403.704883 square miles.
Astronomical Twilight and above to lowest latitude for Nautical Twilight, i.e. 48° 33’
48.571” N to 54° 33’ 48.571” N  16,657,076.400827 square km or 6,431,333.153366 square miles.

2021 Southern Hemisphere, summer solstice:        Length:
Antarctic / Arctic Circle         66° 33’ 44.848” S / N  15,984.907 km or 9,932.561 international miles.  
Civil twilight                           60° 33’ 44.848” S       19,746.042 km or 12,269.621 international miles.      
Nautical twilight                     54° 33’ 44.848” S       23,287.903 km or 14,470.432 international miles.        
Astronomical twilight             48° 33’ 44.848” S       26,571.809 km or 16,510.956 international miles.

Distances personally calculated in the WGS84 ellipsoid, using Charles Karney's Online rhumb line calculations using the RhumbSolve utility: "RhumbSolve is accurate to about 15 nanometers (for the WGS84 ellipsoid)" or 0.000015 of a millimetre/millimeter or 0.00000059 of an inch. In emails to me from Charles Karney: "The accuracy of 15 nanometers that I quote is for paths up to half-way round the earth." "The accuracy for the Airy" [1830] "ellipsoid will be (very nearly) the same as for the WGS84 ellipsoid because the parameters are roughly the same." On RhumbSolve online: "RhumbSolve performs rhumb line calculations". "The path with a constant heading between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the rhumb line (or loxodrome)". "NOTE: the rhumb line is not the shortest path between two points; that is the geodesic and it is calculated by GeodSolve."

​Areas personally calculated in the WGS84 ellipsoid, using Charles Karney's geodesic polygon calculations using the Planimeter utility. "The result for the area is accurate to about 0.1 m² per vertex."

See also:  
http://www.gandraxa.com/length_of_day.xml      






         


















 


 






















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