Encyclopedia  |   World Factbook  |   World Flags  |   Reference Tables  |   List of Lists     
   Academic Disciplines  |   Historical Timeline  |   Themed Timelines  |   Biographies  |   How-Tos     
Sponsor by The Tattoo Collection
Main Page | See live article | Alphabetical index


A sundial measures apparent solar time, usually by measuring the position of the shadow of the sun as it changes through the day. A set of markings are made on the surface on which the shadow is cast, allowing the user to read the time. There are a few commonly seen designs, such as the 'ordinary' or standard garden sundial. However, sundials can be designed for any surface where a fixed object casts a predictable shadow.

Minor design variations can measure standard and daylight saving time, as well.

Sundials are known from ancient Egypt, and were developed further by other cultures, including the Greeks and Romans.

Installation of standard sundials

Tilting the style or gnomon of a standard sundial is the only practical way to install a mass-produced garden sundial so that it will keep time. Some mass-produced garden sundials are improperly designed, and unable to keep time. Many sundials are made to be used at 45 degrees north.

A sundial can be adjusted to another latitude by tilting it so its style or gnomon(s) is (are) parallel the Earth's axis of rotation. That is, the end of a gnomon should point at the north celestial pole in the northern hemisphere, or the south celestial pole in the southern hemisphere.

A sundial can be rotated around its style or gnomon (which must still point at the celestial pole) a maximum of 7.5 degrees to the east or west to adjust to the local standard time zone (time zones are 360 degrees/24 hours = 15 degrees wide). Tilt the sundial so that it is oriented as if it were at the longitude of the center of your local time zone.

To correct for daylight saving time, a face needs two sets of numerals or a correction table, and must be adjusted for longitude from the center of the time zone. The admittedly informal standard is to have numerals in hot colors for summer, and in cool colors for winter. Twisting the face of the sundial will not work because sundials (except at the north and south pole) do not have equal hour angles.

Ordinary sundials do not correct apparent solar time to clock time. There is a 15 minute variation through the year, known as the equation of time, because the Earth's orbit is slightly eilliptical and its axis is tilted relative to the plane of its orbit. A quality sundial will include a permanently-mounted table or graph giving this correction for at least each month of the year. Some more-complex sundials have curved hour-lines, curved gnomons or other arrangements to directly display the clock time.

Design & Principles of Operation

Equatorial sundial

The simplest sundial is a disk mounted on a bar. The bar must be parallel to the Earth's axis of rotation. The disk forms a plane parallel to the plane of the Earth's equator. The disk is marked so that one edge of the shadow of the bar shows the time as the Earth rotates. Usually noon will be at the bottom of the disk, 6AM on the western edge, and 6PM on the eastern edge. In the winter, the north side of the disk will be shaded, and hard to read. In the summer, the south side will be shaded.

The 'shadow-maker' of the sundial is called a gnomon. In common speech, the term gnomon is used to refer to the entire shadow making bar, but technically it is a point on that bar (which should be called the 'style'). In the above design, the bar is the style, and the distal point of the bar is the gnomon. The disk in the above design is called the face. In general, the best material for a face is a very light color to give a high contrast with the shadow. The numerals should be dark, visible on the unshaded portion of the face. The gnomon should be sturdy, preferably metal, because gnomons are usually thin, and can break easily. The traditional luxury materials are a white marble face, with markings inlaid in black marble. Traditional styles are thick bronze to prevent corrosion.

A series of circles can be drawn on the face which plot the path of the shadow of the gnomon on specific days, thus the dial can be used as a calendar as well as clock. The style shows the time and the gnomon the date. Disadvantage of design with solid face is that near equinox, when sun is just on equator, dial is hard to read.

The Garden Sundial

The classic garden sundial uses the same principle, except the lines of the disk are projected, using trigonometry, onto a face that is parallel to the ground. The advantage of the garden sundial is that it keeps time all year, and its face is never completely shaded in the daytime (as vertical sundials are). For use in a public area, this sundial can be made visible by placing it in a square, or making the face of frosted glass, elevated high in the air, and visible from underneath. The top edge of the gnomon is parallel with the axis of the Earth's rotation. The shadow will cross time markings on the face.The markings of each edge are aligned with the edge of the gnomon that produces the shadow. The angle of the face markings from the root of the gnomon (the substyle) are calculated from the formula face-angle = arctan(sin(latitude)*tan(hour-angle)). The angle of the style (gnomon)= 90 - latitude.

Vertical Sundials

Although they are rare in modern life, sundials on vertical south-facing walls (north-facing in the southern hemisphere) are a traditional ancient convenience. They are easy to see from large distances and inexpensive to arrange. One sturdy method is to paint the sundial on the wall, and construct the gnomon as a tripod of metal bars. Fancy sundials used to have faces of inlaid stone.

A problem is that vertical sundials only keep time for the part of the year in which the sun illuminates the wall. They are very similar to garden sundials. The formula for a south-facing sundial face is face-angle = arctan(cos(latitude)*tan(hour-angle)). The angle of the style (gnomon)= latitude.

It used to be traditional to place four sundials on the roof or sides of a tower to provide the time. In this way, the time was available to all for the entire year. In principle, sundials can be placed on any surface, at any angle, given the correct trigonometric projection of the face. For example, sundials on roofs are harder to calculate but quite practical.

Portable Sundials, for Navigation and Time

During the middle ages advanced yet portable astronomical instruments were developed: the astrolabe whose functions included that of a sundial.

Diptych sundial

One of popular portable sundial design was called a diptych. It consisted of two small flat faces, joined by a hinge. The gnomon was a string between the two faces. When the string was tight, the two faces formed both a vertical and horizontal sundial. The best material was white ivory, inlaid with black lacquer markings. The best gnomons were black braided silk or linen.

If the hinge of a diptych is level (parallel to the ground), and both faces show the same time, the diptych shows the local apparent solar time. Additionally, the hinge will point north (in the northern hemisphere), and the diptych will be angled so the gnomon is parallel to the Earth's axis of rotation. At solar noon, sunrise and sunset, the latitude adjustment of the diptych can't affect the time of either sundial, but at 9am and 3pm, each degree of latitude error (from holding the sundial at the wrong angle) creates four minutes of difference between the two faces.

This means that a diptych with a levelling arrangement can also act as a compass and even measure latitude. Some diptychs included a small scale and a plumb-bob to read the latitude. Some others included a compass rose to measure angles to geographic features. Large (meter-sized) diptychs were used for navigation in ancient times. Diptychs usually folded into little flat boxes suitable for a pocket.

Elevation sundial

An even smaller design was the ring. It had a small handle, or was a fob or the decoration of a necklace. When held by its handle, a hole would cast a shadow on the inside of the ring, telling the time by markings on the inside. The user had to know if it was morning or evening. Usually the hole was mounted in a sliding lockable piece of metal, which was adjusted to correct date.

In recent times, U.S. Special Forces have taken to engraving a simple sundial on their knife-blade. It works even when a watch fails.

Precision Sundials (Heliochronometers)

The classic shape for a heliochronometer is an equatorial bow sundial, a semicircle of temperature-invariant steel invar, with markings on the inner surface. A bar, slot or stretched wire parallel to the earth's axis forms the gnomon. This pattern, built a couple of meters wide, was used to keep the trains running on time in France before World War I.

One of the simplest sundials that reads clock time is an equatorial bow with a gnomon shaped like two vases. The vase-shape directly shades the hour line in the correct place as the year passes, and the sun changes elevation.

The most precise sundials ever made are monumental equatorial bows constructed of masonry by a Mogul Caliph in Jaipur, India to keep the Islamic religious calendar.

Precision Noonmarks

In modern times, some Oriental countries' post offices have set their clocks from a precision noon-mark, a sundial that determined local noon. These in turn provided the times for the rest of the society. The typical noon-mark sundial was a lens set above an analemmatic plate. The plate has an engraved figure-eight shape. When the edge of the sun's image touches the part of the shape for the current month, it is noon.

Ancient Greek Sundials

The ancient Greekss used a type of sundial sometimes referred to as pelekinon (axe-like, apparently because shape of the hour and day lines suggest the ancient double-headed ax (pelekus). The gnomon was a rod or pole upright in a horizontal face or half-spherical face. The shadow of the tip of the rod sweeps out hyperbolic curves on a flat face, or circles on a spherical face. The advantage of these dials is that they can be marked to tell the exact time for all times of year.

Analemmatic Sundials

A fun version of the sundial is to lay out the hour marks on concrete, and then let the user stand in a square marked with the month. The month squares are arranged to correct the sundial for the time of year. The user's head then forms the gnomon of the dial. If the sundial is molded into the concrete, it is almost perfectly immune to vandalism, as well as truly fun and reasonably accurate.

Very accurate dials of this type fit nicely in a public square, using a flagpole as the gnomon, with the face painted on or inlaid in the pavement.

The geometrical construction of an analemmatic sundial is simple if you know how to construct an equatorial sundial. First paint an imaginary equatorial sundial floating in the air: a vertical bar directed towards the pole and a ring in the plane perpendicular to the bar. Label the lowest point of the ring "12", and the other hour marks as usual. At a certain time and date, the shadow of a certain point A on the bar (which falls here or there depending on the time of year) falls on a certain point B of the ring (which depends on the hour). Now draw the point B' in the ground just below B and the point A' just below A. Now if you stand at A' your shadow will point at B', because the sun is somewhere in the plane A B A' B'.

In middle latitudes, the ellipse with the hour-marks should be about six meters wide, so the shadow of the head of the beholder will fall near it most of the time.

Some analemmatic dials carry an analemma, a figure-eight curve, apparently with the intention of misleading people as to where to stand. Standing on the eight does not correct the time to mean time at all. You should stay just under the imaginary bar.

Reflection Sundials

Isaac Newton invented a sundial for a south-facing window. He placed a tiny mirror on the windowsill, and painted the sundial's face in a mirror-image on the ceiling and walls. The mirror formed the gnomon by reflecting a spot of light. This provides a large, accurate, perfectly correctable sundial with minimal material, and no wasted space at all.

Analog Calculating Sundials

A last, interesting variation accurately keeps clock time, while still resembling a conventional garden sundial. It is a horizontal sundial with a face cut on a cardioid (a sort of heart-shape). A cardioid is the shape that connects the intersections between the solar-time marks of a conventional sundial, and the equal-angles of a true clock-time face. The place where the shadow crosses the cardioid's edge is the place where clock time can be read on the underlying clock-time dial. The sundial is adjusted for daylight saving time by rotating the underlying equal-angle clock-time face. The sun-time face does not move.

External links