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A plot of hours of daylight as a function of the date for changing latitudes. This plot was created using the simple sunrise equation, approximating the sun as a single point and does not take into account effects caused by the atmosphere or the diameter of the Sun.
The following formulas assume the north-clockwise convention. The solar azimuth angle can be calculated to a good approximation with the following formula, however angles should be interpreted with care because the inverse sine, i.e. x = sin −1 y or x = arcsin y, has multiple solutions, only one of which will be correct.
The United States Naval Observatory states "the Equation of Time is the difference apparent solar time minus mean solar time", i.e. if the sun is ahead of the clock the sign is positive, and if the clock is ahead of the sun the sign is negative. [6] [7] The equation of time is shown in the upper graph above for a period of slightly more than a ...
For example, the solar elevation angle is: 90° at the subsolar point, which occurs, for example, at the equator on a day of equinox at solar noon; near 0° at the sunset or at the sunrise; between −90° and 0° during the night (midnight) An exact calculation is given in position of the Sun. Other approximations exist elsewhere. [6]
Geoscience Australia "Sunrise and sunset times" Compute twilight times. An Excel workbook with VBA functions for twilight (dawn and dusk), sunrise, solar noon, sunset, and solar position (azimuth and elevation) by Greg Pelletier, translated from NOAA's online calculator for sunrise/sunset; Time and Date to find the current state of the sun in a ...
Time of sunrise in 2008 for Libreville, Gabon. Near the equator, the variation of the time of sunrise is mainly governed by the variation of the equation of time. See here for the sunrise chart of a different location. The timing of sunrise varies throughout the year and is also affected by the viewer's latitude and longitude, altitude, and ...
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At solar noon the hour angle is zero degrees, with the time before solar noon expressed as negative degrees, and the local time after solar noon expressed as positive degrees. For example, at 10:30 AM local apparent time the hour angle is −22.5° (15° per hour times 1.5 hours before noon).