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The Mathematics of the Longitude - Department of Mathematics

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2.6 Horizon Coordinate System<br />

<strong>The</strong> apparent position <strong>of</strong> a body in <strong>the</strong> sky is defined by <strong>the</strong> horizon<br />

coordinate system (Figure 2.10). <strong>The</strong> altitude, H, is <strong>the</strong> vertical angle<br />

between <strong>the</strong> horizontal plane to <strong>the</strong> line <strong>of</strong> sight to <strong>the</strong> body. <strong>The</strong> point<br />

directly overhead <strong>the</strong> observer is called <strong>the</strong> zenith. <strong>The</strong> zenith distance, z,<br />

is <strong>the</strong> angular distance between <strong>the</strong> zenith and <strong>the</strong> body. H and z are<br />

complementary angles (H + z = 90°). <strong>The</strong> azimuth, AzN, is <strong>the</strong> horizontal<br />

direction <strong>of</strong> <strong>the</strong> body with respect to <strong>the</strong> geographic (true) north point on<br />

<strong>the</strong> horizon, measured clockwise through 360°.<br />

Figure 2.10<br />

Each <strong>of</strong> <strong>the</strong> following imaginary horizontal planes parallel to each o<strong>the</strong>r<br />

can be used as <strong>the</strong> reference plane for <strong>the</strong> horizon coordinate system<br />

(Figure 2.11).<br />

<strong>The</strong> true horizon is <strong>the</strong> horizontal plane tangent to <strong>the</strong> earth at <strong>the</strong><br />

observer's position.<br />

<strong>The</strong> celestial horizon is <strong>the</strong> horizontal plane passing through <strong>the</strong> center <strong>of</strong><br />

<strong>the</strong> earth.

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