By Gouet R., Lopez F.J., Sanz G.
Read or Download A Characteristic Martingale Relatedtothe Counting Process of Records PDF
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Extra info for A Characteristic Martingale Relatedtothe Counting Process of Records
Now return to the situation that occurs when the declination is across the equator from the AP (declination and AP contrary name). As declination increases-that is, as you go from one declination column to the other in the sight reduction table-the computed altitude (He) decreases. You can see it quite plainly in figure 7-5 by looking from the 7° to the 8° column. As you scan up or down the column, you see also that d (the amount the computed altitude changes for a 1° change in declination) is tagged with a minus sign.
The left half of the refraction/semidiameter table and the dip table are what are called critical-type, which simply means that the values of refraction/semidiameter and dip are valid for a range of altitudes and eye heights, respectively. 3' for altitudes of the lower limb (edge) of the sun from 28°33' through 30°00'. 5 ') is the combined correction if you need a sight of the sun when its lower edge is in a cloudbank. You bring the upper limb (edge) to the horizon; now the semidiameter has to be subtracted because you've measured too large an angle.
Instead of being 60 miles from the DR, you are 40 miles from the AP. But you still end up on the same line. Although the AP is a different distance from the GP, the line representing the edge of the circle on which you must be-the line of position, or LOP-is the same. It has to be. You are there. You are that distance from the GP and on that line by actual measurement with your sextant, so whatever reference point you choose to use, be it DR or AP, has to put you that distance from the GP and, therefore, produce that line.