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Published online by Cambridge University Press: 23 August 2006
A fix is determined by the intersection of at least two position circles. There is no argument when sights are simultaneous. Two transfer techniques are demonstrated in the ANM when sights are not simultaneous, the running fix technique (RFT) and the GHA-Dec updating technique (GD-UT). With RFT/LSQ*1 the transferred position line is thus supposed to represent a transferred position circle as the mathematical locus of all points on the original position circle transferred for a given run. This condition is met with GD-UT but as we will see it is not with RFT/LSQ*.
1 LSQ* stands for the Yallop-Hohenkerk Least-Squares solution program.
2 A numerical due-North model first appeared in K.H. Zevering – “Position Solution Differences in the Sight-run-Sight Case”, The Navigator's Newsletter (NN) – Foundation for the Promotion of Navigation, &num1;86, p9–15.
3 See NN &num1;87, p2–4.
4 Ibid, p4. In this example as well as in his present due-N double sight one, Huxtable is apparently not aware that his argument supports the correctness of RFT/LSQ*.
5 TanDec′*=−(a1c1−a2c2)/(b1−b2); SinH′o=a1c1CosDec′*+b1SinDec′*; a1=Cos45; b1=Sin46; c1=Cos46; a2=Cos60; b2=Sin1; c2=Cos1.