A Brief History of the Analemma Sundial

 

 

 

     The instrument was designed by Ronald Rosensweig and Hans Muller when they were engineering students at the University of Cincinnati in the early 1950s.  The construction and installation of the original sundial at the Baldwin Quadrangle was underwritten by the Class of 1955. 

 

 

 

How the Sundial Works

 

Important Features

 

 

 

 

     The working section consists of two circular bronze strips mounted perpendicular to one-another.  The analemma engraving is mounted on one bronze circle, while the hour engraving is made on the other circle.  A small focusing lens is mounted in the junction of the circular strips opposite the analemma engraving (in the top photograph, it is the junction against a window).   The working section can rotate about an axis indicated by the stainless steel fixtures. 

 

     The Hour Circle is calibrated with reference to Greenwich Mean Time.  There are 12 engraving lines per hour, so each engraved unit represents 5 minutes of time.

 

Reading time with the Sundial

 

 

     On a sunny day, a visitor who wishes to read the local time rotates the working section until the lens focuses an image of the sun on the analemma at the current month and day.   The visitor then reads the time, directly to 5 minutes and estimating the nearest minute, by using the Index Arc. 

 

Improved Resolution

 

    If the Index Arc were built closer to the Hour Circle, a vernier scale could be engraved on the Index Arc, and time could be read directly to the minute, with an estimate of a fraction of a minute.  This improvement is scheduled to be installed on the original instrument in 2005, and it will be included in the replica installed at Blandair.

 

Technical Details

 

     The analemma is a means of accounting for the change in the location of the apparent path of the sun across the sky during the year.  It is formed from images of the sun at its highest point projected onto a horizontal surface at the equator.  This change is indicative of the fact that the earth’s axis of rotation is not perpendicular to the plane of its orbit about the sun.

 

    Note that the two lobes of the analemma are not the same size.  This is because the earth’s orbit is elliptical and not truly circular.  During the months indicated by the smaller lobe, the earth is closer to the sun than during the months indicated by the larger lobe.   Since the orbital speed of the earth increases as it gets closer to the sun, “solar days” are shorter on the smaller lobe than they are on the larger lobe.  Thus, local solar time, as measured by blade sundials, requires further correction to correspond with solar time as measured by mechanical, electronic, or atomic clocks, and there are tables for making this correction.  However, after initial calibration, an analemma sundial reads local solar time directly, since the analemma makes this correction automatically.

 

Aligning and Calibrating the Sundial

 

     The axis of rotation of the sundial is to be aligned parallel to the earth’s axis of rotation.  One way of doing this is described here.  First, place the instrument on a horizontal surface and raise what will be the northerly end of the instrument’s axis and lower what will be the southerly end until the instrument’s axis is inclined with the horizontal by the local latitude (in the northern hemisphere); this can be set  in the manufacturing process.[1]  Next, the instrument’s axis must be contained in a plane that contains the geographic north and south poles.  This can be done at the installation site.  Ensure that the base on which the dial is to be set is horizontal.  In the absence of the dial, suspend a plumb line so that its shadow falls across the base when the sun is on the overhead meridian (12:00 noon LST),[2] lightly scribe the line of the shadow across the base. This line is oriented North-South.  Mount the dial on the base with its axis parallel to the scribed line.

 

    Once the sundial’s axis of rotation is aligned with that of the earth, the Index Arc can be engraved to read local solar time.  Focus the image of the sun on the analemma at the current month and date.  Reading the time from the calibrated watch, engrave the index line on the Index Arc opposite the local solar time on the Hour Circle.  Complete engraving the vernier scale on the Index Arc with the length of 5 vernier scale units equal to the length of 4 units on the Hour Circle.

 

Funds for the Garden

 

Donations may be sent to:

 

The Blandair Foundation

Attn. Garden Fund

6425 Little John Circle

Centerville, OH 45459

 

Analemma Sundial T-shirts are available from our web site store

 

The Blandair Foundation is a 501(c)(3), non-profit organization.

 

 

 

 

 

 

 

 



[1] The latitude of the installation at Blandair is 39.216º N

[2] The time at which that occurs can be determined with an accurate watch that has been set for local solar time (LST) using Greenwich Mean  Time (GMT) as computed by:

LST = GMT + Longitudinal Correction

The longitude of the installation at Blandair is -76.827º; the Longitudinal Correction of Blandair’s Solar time is -5hr7.3min.