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The Mathematics of the Longitude - Department of Mathematics

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(RA) and is measured in hours, minutes, and seconds ra<strong>the</strong>r than in <strong>the</strong><br />

more familiar degrees, minutes and seconds. (<strong>The</strong>re are 360 degrees or 24<br />

hours in a full circle.) <strong>The</strong> right ascension is always measured eastward<br />

from <strong>the</strong> vernal equinox.<br />

Next measure along <strong>the</strong> body's hour circle and <strong>the</strong> angle between <strong>the</strong><br />

celestial equator and <strong>the</strong> position <strong>of</strong> <strong>the</strong> body. This angle is called <strong>the</strong><br />

declination (Dec) <strong>of</strong> <strong>the</strong> body and is measured in degrees, minutes and<br />

seconds north or south <strong>of</strong> <strong>the</strong> celestial equator, analogous to latitude on <strong>the</strong><br />

earth (Figure 2.7).<br />

Right ascension and declination toge<strong>the</strong>r determine <strong>the</strong> location <strong>of</strong> a body<br />

on <strong>the</strong> celestial sphere.<br />

Figure 2.7 shows <strong>the</strong> Dec and RA <strong>of</strong> a celestial body.<br />

2.5 Geographical Position <strong>of</strong> a Celestial Body<br />

Now consider a line connecting <strong>the</strong> center <strong>of</strong> a celestial body and <strong>the</strong> center<br />

<strong>of</strong> <strong>the</strong> earth. <strong>The</strong> point where this line crosses <strong>the</strong> surface <strong>of</strong> <strong>the</strong> earth is<br />

called <strong>the</strong> geographical position (GP) <strong>of</strong> <strong>the</strong> body (Figure 2.8). An

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