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Astronomy Principles and Practice Fourth Edition.pdf

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418 Practical projects<br />

Figure 24.12. Sweeping the index image to check contact with the horizon image.<br />

the telescope is pointing directly at the centre of the water, when the image will become round <strong>and</strong><br />

sharp.<br />

(e) The I-image will appear in the field of view if two conditions are satisfied:<br />

1. The scale must be twice the Sun’s altitude, i.e. it must be equal to XABin figure 24.11.<br />

2. The plane of the sextant must be vertical.<br />

To find the I-image, set the scale to read twice the estimated altitude of the Sun. With the H-<br />

image in the field of view, move the index arm slowly to <strong>and</strong> fro over this part of the scale <strong>and</strong>, at the<br />

same time, rotate the entire instrument slowly through a few degrees about the telescope axis, so that<br />

the sextant swings backwards <strong>and</strong> forwards through the vertical plane. During these operations, the<br />

I-image will be seen to move sideways through the field. When this occurs, stop the movement of the<br />

index arm <strong>and</strong> bring the sextant into the vertical plane.<br />

(f) Set the two images in contact, the H-image above the I-image, by means of the adjustment<br />

screw <strong>and</strong> observe the relative movement of the two—whether they tend to separate or overlap. For the<br />

forenoon observations, B(i), the altitude is increasing <strong>and</strong> the direction of movement is from the lower<br />

towards the upper limb. If, therefore, the images are separating, it is the lower limb which is being<br />

used to make the contact of images. For the afternoon observations, B(ii), this rule is reversed.<br />

The lower limb should be used for the contact observations.<br />

For the forenoon observations, make the images overlap by means of the adjustment screw <strong>and</strong><br />

observe the chronometer time, to the nearest half-second, at which the last trace of overlapping<br />

disappears. For afternoon observations, set the images slightly apart <strong>and</strong> observe the time at which<br />

the images just come into contact. For observations near to the meridian, the Sun’s altitude is changing<br />

slowly. In this case, put the images in contact by means of the adjustment screw <strong>and</strong> note the time<br />

when they are in contact.<br />

The sextant vernier or micrometer should, in all cases, be read very carefully to the nearest 10<br />

seconds of arc.<br />

(g) For all observations, the plane of the sextant must be vertical. To ensure that this is so, rock<br />

the instrument to rotate round the telescope as axis. The effect of this is to make the I-image move<br />

to <strong>and</strong> fro across the field of view. ‘Contact’ occurs when this image, in passing across the field, just<br />

grazes the H-image (see figure 24.12).<br />

(h) Reduction of observations. Before any calculations can be made using the measured altitudes,<br />

all the observations must be corrected for<br />

(1) the index error,<br />

(2) any scale error (see notes in lid of sextant box) <strong>and</strong><br />

(3) the effect of refraction by the Earth’s atmosphere.<br />

The method for making these corrections is illustrated in the sample set of observations.<br />

(i) Calculations.

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