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Handbook of Magnetic Compass Adjustment - Maritime Safety ...

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Substituting deviation data algebraically, east being plus and west minus,<br />

√2 1<br />

B = 8<br />

(20.0 – 1.2 + 8.0 + 6.8) + 4<br />

(11.5 + 12.5)<br />

B = +12<br />

√2 1<br />

C = 8<br />

(20.0 + 1.2 + 8.0 – 6.8) + 4<br />

(10.5 + 5.5)<br />

C = +8<br />

502. Reasons for analysis. This method <strong>of</strong> estimating approximate coefficients is convenient for:<br />

(1) Analyzing an original deviation curve in order to anticipate necessary corrections.<br />

(2) Analyzing a final deviation curve for the determination <strong>of</strong> additional refinements.<br />

(3) Simplifying the actual adjustment procedure by anticipating effects <strong>of</strong> certain corrector changes on the deviations at<br />

all other headings.<br />

503. Approximate and exact coefficients. It is emphasized that the above estimations are for the approximate coefficients<br />

and not for exact coefficients. Approximate coefficients are in terms <strong>of</strong> angular deviations that are caused by certain magnetic<br />

forces, and as stated before, some <strong>of</strong> these deviations are subject to change with changes in the directive force, H. The exact<br />

coefficients are expressions <strong>of</strong> magnetic forces, dealing with: (a) arrangements <strong>of</strong> s<strong>of</strong>t iron, (b) components <strong>of</strong> permanent<br />

magnetic fields, (c) components <strong>of</strong> the earth's magnetic field, and (d) the shielding factor λ. Thus, the exact coefficients are<br />

expressions <strong>of</strong> magnetic force which produce the deviations expressed by the approximate coefficients. The exact coefficients<br />

are for mathematical considerations, while the approximate coefficients are more practical for adjustment purposes. For this<br />

reason, the exact coefficients and the associated mathematics are not expanded further in this text.<br />

504. <strong>Compass</strong> heading and magnetic heading. When deviations are large, there is an appreciable difference in the deviation<br />

curve if it is plotted on cross-section paper against compass headings or against magnetic headings <strong>of</strong> the ship. Not only is<br />

there a difference in the shape <strong>of</strong> the curves, but if only one curve is available, navigators will find it difficult in applying<br />

deviations when converting from magnetic heading to compass heading, and vice versa. When deviations are small no<br />

conversion is necessary. Figure 504 illustrates the differences mentioned above by presenting the deviation values used in<br />

figure 501 as plotted against magnetic headings as well as against compass headings.<br />

Figure 504 – Comparison <strong>of</strong> deviation curves (magnetic heading vs. compass heading).<br />

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