The accompanying Sun Rise/Set/Shine charts are for the year 2014. Other years will be VERY similar. The file naming convention is ... 14x2A1 A Equator 0 C Tropic of Cancer 23.5 D Downey 34 H Hillsboro/Portland/Beaverton 45.5 N Nome 64.5 P Arctic Circle 66.5 S Spitzbergen 78.75 (74-81) V N-Pole 90 1 V-8 2 V-11 of Quattro Pro. A first concept 1 first implementation They have been made from the data available from ... http://aa.usno.navy.mil/data/docs/RS_OneYear.html The time zone is GMT-0800. The longitude is 120-deg West, except for D & H. At lower latitudes, the Sun rises and sets once every day. Above the Arctic Circle, the Sun will be UP all day long for a period centered around the Summer Solstice (June 21); likewise the Sun will be DOWN all day long for a period centered around the Winter Solstice (Dec 21). At the North Pole, the Sun will rise once on the Spring Equinox (March 21), remain up all Spring and Summer, then set once on the Atumnal Equinox (Sept 21), and remain down all Fall and Winter. The graphs were expected to be rather good single-cycle sine curves. There are certain anomalies noted which were NOT expected. .- the date of earliest sunrise and the date of latest sunset are NOT the same. .- the separation of these dates gets smaller with higher latitudes. .- unlike the higher latitudes which exhibit a single-cycle sine curve as expected, the graph for the equator exhibits a two(2)-cycle sine curve, albeit VERY shallow. Factors relating to these anomalies are likely ... .- wobble of the Earth's axis as it traverses its annual orbit. .- the perihelion and aphelion resulting from the Earth's orbit being slightly eliptical; albeit the eccentricity is very small -- at 0.01671. .- the prograde or retrograde resulting from the relative directions of the Earth's rotation on its axis and its revolution around the Sun. .- whether the times supplied ... -- are for the leading/trailing edge of the Sun or for its center. -- account for any refraction of the Sun's rays by the Earth's atmosphere. .- the "speed bumps" in the Earth's orbit as it crosses the Equinoxes and Solstices. ;-) Gotta wonder what would be necessary for the graphs to be more pure sine curves. MUCH Much more about these and other factors can be learned from readings beginning at ... https://www.google.com/#q=%22equation+of+time%22