Intercept method: Difference between revisions

Revision as of 18:37, 26 June 2011

Revision as of 19:24, 6 December 2011

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: <math>\mathrm{ haversin(\overline{Hc}) = haversin(LHA) \cdot cos(lat) \cdot cos(dec) + haversin(lat \pm dec) }</math>

Where {{overline|Hc}} is the zenith distance, or complement of Hc: {{overline|Hc}} = 90º° - Hc.

The relevant formula for Z is

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==Running fix==

A fix is called a ''running fix'' when one or more of the LOPs used to obtain it is an LOP advanced or retrieved over time. It must be remembered that in order to get a fix the LOP must cross at an angle, the closer to 90º° the better. This means the observations must have different azimuths. During the day, if only the Sun is visible, it is possible to get an LOP from the observation but not a fix as another LOP is needed. What may be done is take a first sight which yields one LOP and, some hours later, when the Sun's azimuth has changed substantially, take a second sight which yields a second LOP. Knowing the distance and course sailed in the interval, the first LOP can be advanced to its new position and the intersection with the second LOP yields a ''running fix''.

Any sight can be advanced and used to obtain a ''running fix''. It may be that the navigator due to weather conditions could only obtain a single sight at dawn. The resulting LOP can then be advanced when, later in the morning, a Sun observation becomes possible. The precision of a running fix depends on the error in distance and course so, naturally, a running fix tends to be less precise than an unqualified fix and the navigator must take into account his confidence in the exactitude of distance and course to estimate the resulting error in the running fix.