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Old 02-04-11, 02:06 AM   #11
goldorak
Admiral
 
Join Date: Apr 2005
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For those wishing to implement Ekelund ranging on a scientific programmable calculator here is the formula :

The input fields are 8 (4 for the first leg and 4 for the second leg)
  • OwnSpeed_1
  • OwnCourse_1
  • TrgBearing_1
  • BearingRate_1
  • ---
  • OwnSpeed_2
  • OwnCourse_2
  • TrgBearing_2
  • Bearing Rate_2

For leg 1 :

OOA_1 :

Calculate X = TrgBearing_1 - OwnCourse_1
If X > 180 then 360 - X
If X < 0 then X + 360
Else X

Once calculated OOA_1, calculate sin (OOA_1)*OwnSpeed_1

The calculation for OOA_2 is the same as OOA_1 mutatis mutandis.

Ekelund Range = 0.955 * [ |sin(OOA_1)*Ownspeed_1 - sin(OOA_2)*OwnSpeed_2| ] / [ |BearingRate_2 - BearingRate_1| ].

Speeds expressed in knots, bearing rate in degrees/min and distance is yards.
Numerator and denominator in the formula have to be positive so absolute values are used.
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