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Astronomy Principles and Practice Fourth Edition.pdf

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The coelostat 347<br />

be viewed simultaneously with the field which can be seen via the two reflections given by I <strong>and</strong> the<br />

lowerhalfofH .<br />

To permit solar observations, filters of various density are available to cover both the I <strong>and</strong> H<br />

mirrors.<br />

It is obvious that when the mirror faces of I <strong>and</strong> H are parallel, I <strong>and</strong> the transparent half of H<br />

provide identical views of the horizon. By adjusting the lever which carries I, the two images can<br />

be made to overlap, thus allowing the fiducial point or index point to be determined on the graduated<br />

scale.<br />

When the altitude of a celestial object is being determined, the lever carrying I is adjusted until<br />

the object is made to ‘appear’ on the horizon. Since a reflection by a mirror alters the direction of travel<br />

of a beam of light by twice the angle of incidence, an angle read off the graduated scale corresponds<br />

to twice the apparent altitude of the object. This is allowed for in the graduation of the scale, each 10 ◦<br />

of rotation being registered as 5 ◦ . Before an accurate figure of the true altitude is available, corrections<br />

need to be made for any error in the index position, for the observer’s height above the horizon <strong>and</strong> for<br />

atmospheric refraction. The uncertainty in any one determination is likely to lie in the range between<br />

5 <strong>and</strong> 10 seconds of arc.<br />

20.8 The coelostat<br />

The coelostat is a special collector system, usually applied to solar observations, providing an image<br />

which is fixed in space. Such a system allows heavy subsidiary analysing equipment to be used. Most<br />

coelostat systems are placed at the top of a tower with the analysing equipment below the level of<br />

the ground where it is more easily stabilized against temperature fluctuations. The positioning of the<br />

coelostat at a height above the ground is optimum in obtaining the best seeing conditions <strong>and</strong> the<br />

collected radiation’s path to the analysing equipment can be made virtually free from disturbing air<br />

currents by enclosing it in a thermally insulated tube.<br />

The collecting system consists of two circular flat mirrors as illustrated in figure 20.16. The first<br />

mirror is set in a cradle so that the polar axis is parallel to <strong>and</strong> passes through the centre of the front<br />

reflecting face. The second plane mirror reflects the beam into some imaging device, such as a longfocus<br />

objective, although, in some systems, reflection optics are used throughout. Rotation of the first<br />

mirror about the polar axis, at a rate equal to half the rotational speed of the Earth, allows celestial<br />

objects to be followed.<br />

The range of declinations is achieved by adjustment of the relative positions of the two mirrors.<br />

As in the case of a solar tower, the image-forming optics are in a fixed position <strong>and</strong>, consequently,<br />

the movement of the second mirror of the coelostat can only allow adjustment by tilt. The first mirror<br />

<strong>and</strong> its drive are placed on a carriage which can be positioned along the north–south line. For each<br />

declination setting, the position of this carriage <strong>and</strong> the tilt at the second mirror need to be adjusted.<br />

In order to overcome the problem of the second mirror blocking-off some parts of the sky from<br />

the view of the first mirror, two sets of runners are usually provided for the carriage which holds the<br />

first mirror. These runners lie on either side of the meridian which passes through the second mirror.<br />

For solar observations, it is easy to visualize that the runners on the east side would be chosen to hold<br />

the carriage for pre-transit (morning) observations <strong>and</strong> that the carriage would be moved to the runners<br />

on the west side for post-transit (afternoon) observations.<br />

There are also two other collector systems which are sometimes used to provide a solar image.<br />

These are the heliostat <strong>and</strong> the siderostat. The heliostat has the disadvantage that, although the centre<br />

of the solar image is kept in a fixed position, the image rotates slowly. A siderostat is basically a singlemirrored<br />

system but the driving mechanism required to achieve a stationary image is complicated.<br />

The McMath solar telescope, which is a heliostat design, is shown in figure 20.17. The mirror has<br />

a diameter of 1·5 m <strong>and</strong> the system provides a solar image 80 cm across (see figure 20.18).

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