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The sunrise equation or sunset equation can be used to derive the time of ... The sign convention is ... latitude = 33.00801 longitude = 35.08794 elevation = 0 print ...
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.
Sunrise seen over the Atlantic Ocean through cirrus clouds on the Jersey Shore at Spring Lake, New Jersey, U.S. Sunrise (or sunup) is the moment when the upper rim of the Sun appears on the horizon in the morning, [1] at the start of the Sun path. The term can also refer to the entire process of the solar disk crossing the horizon.
This corresponds with the sign of the equation of time, which is positive in the westward direction. The further west the Sun is, compared with its mean position, the more "fast" a sundial is, compared with a clock. (See Equation of time#Sign of the equation of time.) If the analemma is a graph with positive declination (north) plotted upward ...
While the formula can be derived by applying the cosine law to the zenith-pole-Sun spherical triangle, the spherical trigonometry is a relatively esoteric subject.. By introducing the coordinates of the subsolar point and using vector analysis, the formula can be obtained straightforward without incurring the use of spherical trigonometry.
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By this formula, if one has observed the sun rising 10000 times previously, the probability it rises the next day is /. Expressed as a percentage, this is approximately a 99.990002 % {\displaystyle 99.990002\%} chance.