A vertical declining dial (south west) in Eyam Derbyshire England. 53°17′03″N 1°40′29″W / 53.28420, -1.67471Top view of an equatorial sundial.  The hour lines are spaced equally about the circle, and the shadow of the gnomon (a thin cylindrical rod) rotates uniformly.  The height of the gnomon is 5/12 the outer radius of the dial.  This animation depicts the motion of the shadow from 3 a.m. to 9 p.m. on mid-summer's day, when the sun is at its highest declination (roughly 23.5°).  Sunset and sunrise occur at 3am and 9pm, respectively, on that day at geographical latitudes near 57.5°, roughly the latitude of Aberdeen or Gothenburg.Benoy Sun Clock showing 6.00pm - 18.00 hoursAny celestial body, such as a star or the Sun, appears to rotate about the celestial axis over the course of a 24-hour day.  Over the course of the year, the stars keep their position on the celestial sphere, but the Sun and planets change their positions.  In particular, the Sun appears to move through the zodiac constellations.An East-facing polar dial in Doubs, France 47°30′N 6°48′E / 47.50, 6.80.  It receives no afternoon sunlight; the hour-lines near noon are spaced widely, as the sun's rays become parallel to the dial's face.
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A sundial is a device that measures time by the position of the Sun. In common designs such as the horizontal sundial, the sun casts a shadow from its style (a thin rod or a sharp, straight edge) onto a flat surface marked with lines indicating the hours of the day. more...

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As the sun moves across the sky, the shadow-edge progressively aligns with different hour-lines on the plate. Such designs rely on the style being aligned with the axis of the Earth's rotation. Hence, if such a sundial is to tell the correct time, the style must point towards true North (not magnetic North) and the style's angle with horizontal must equal the sundial's geographical latitude. However, many sundials do not fit this description, and operate on different principles.

Introduction

Sundials can be categorized in several ways. First, some sundials use a spot of light, or a line of light, to indicate the time, whereas others use the edge or tip of a shadow. In the former case, the spot of light may be formed by allowing the sun's rays through a small hole or reflecting them from a small circular mirror; a line of light may be formed by allowing the rays through a thin slit or focusing them through a cylindrical lens. In the other case, the shadow-casting object — the sundial's gnomon — may be a thin rod, or any object with a sharp tip or a straight edge. Second, sundials employ many types of gnomon. The gnomon may be fixed or moved according to the season; it may be oriented vertically, horizontally, aligned with the Earth's axis, or oriented in an altogether different direction determined by mathematics. Third, sundials may use many types of surfaces to receive the spot or line of light, the shadow-tip or shadow-edge. Planes are the most common surface, but partial spheres, cylinders, cones and even more complicated shapes have been used for greater accuracy or intriguing aesthetics. Fourth, sundials differ in their portability and their need of orientation. The installation of many dials requires knowing the local latitude, the precise vertical direction (e.g., by a level or plumb-bob), and the direction to true North. In contrast, other dials are self-aligning; for example, two dials that operate on different principles, such as a horizontal and analemmatic dial, may be mounted together on one plate, such that their times agree only when the plate is aligned properly.

Sundials indicate the local solar time, unless otherwise corrected. To obtain the standard clock time, three types of corrections need to be made. First, the solar time needs to be corrected for the longitude of the sundial relative to the longitude at which the official time zone is defined. For example, a sundial located west of Greenwich, England but within the same time-zone, shows an earlier time than the official time; it will show "noon" after the official noon has passed, since the sun passes overhead later, since the sundial is further in the west. This correction is often made by rotating the hour-lines by an angle equaling the difference in longitudes. Second, the practice of daylight saving time shifts the official time away from solar time by an hour or, in rare cases, by another amount. This correction is usually made by numbering the hour-lines with two sets of numbers. Third, the orbit of the Earth is not perfectly circular and its rotational axis not perfectly perpendicular to its orbit, which together produce small variations in the sundial time throughout the year. This correction — which may be as great as 15 minutes — is described by the equation of time. A more sophisticated sundial design is required to incorporate this correction automatically; alternatively, a small plaque can be affixed to the sundial giving the offsets at various times of the year.

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