The Mathematics of the Longitude - Department of Mathematics
The Mathematics of the Longitude - Department of Mathematics
The Mathematics of the Longitude - Department of Mathematics
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
(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