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Equation of time
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== Practical use == If the [[gnomon]] (the shadow-casting object) is not an edge but a point (e.g., a hole in a plate), the shadow (or spot of light) will trace out a curve during the course of a day. If the shadow is cast on a plane surface, this curve will be a [[conic section]] (usually a hyperbola), since the circle of the Sun's motion together with the gnomon point define a cone. At the spring and autumnal equinoxes, the cone degenerates into a plane and the hyperbola into a line. With a different hyperbola for each day, hour marks can be put on each hyperbola which include any necessary corrections. Unfortunately, each hyperbola corresponds to two different days, one in each half of the year, and these two days will require different corrections. A convenient compromise is to draw the line for the "mean time" and add a curve showing the exact position of the shadow points at noon during the course of the year. This curve will take the form of a figure eight and is known as an [[analemma]]. By comparing the analemma to the mean noon line, the amount of correction to be applied generally on that day can be determined. The equation of time is used not only in connection with [[sundial]]s and similar devices, but also for many applications of [[solar energy]]. Machines such as [[solar tracker]]s and [[heliostat]]s have to move in ways that are influenced by the equation of time. [[Civil time]] is the local mean time for a meridian that often passes near the center of the [[time zone]], and may possibly be further altered by [[daylight saving time]]. When the apparent solar time that corresponds to a given civil time is to be found, the difference in longitude between the site of interest and the time zone meridian, daylight saving time, and the equation of time must all be considered.<ref name="exactsolarnoon"/>
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