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Old 1st Aug 2012, 14:57
  #392 (permalink)  
keith williams
 
Join Date: Jan 2011
Location: England
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Your figures are a mixture of seconds and decimal parts of minutes, so you must take care to convert these to common units. Your figures for longitude are unclear but I have assumed both positions are West.

The N/S error is INS – Ramp = (S53°12.5') – (S53°21'30'') = -9'

This is a N/S error of 9 minutes of latitude so it is equal to a distance of 9 nm.


The E/W error = INS – Ramp = (W002°36.4') – (W002°16'24'') = +20'

This is equal to a distance (20 x Cos mean latitude) nm

Using S53°17' as mean latitude gives an E/W error distance of

20' x Cos 53°17' = 19.9 m.


Now sketch the situation in the form of a right-angled triangle with base = 19.9 nm and vertical side = 9 nm.

The total error is the hypotenuse of this triangle so we have


Error = square root of ( 9 squared + 19.9 squared) = 21.84 nm

Dividing this error by the flight time of 7.5 hours gives an error rate of

21.84 nm / 7.5 hours = 2.9 nm/hour.
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