Difference between revisions of "TrueWind"

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(calculate True Wind from Apparent Wind)
(calculate True Wind from Apparent Wind)
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** <code>TWD = ATAN ( TWx / TWy )</code>
 
** <code>TWD = ATAN ( TWx / TWy )</code>
 
* <b>STW</b> Speed Trough Water <b>navigation.speedThroughWater</b>
 
* <b>STW</b> Speed Trough Water <b>navigation.speedThroughWater</b>
** <b>DFT</b> Current Drift (relative to ground) <b>environment.current.drift</b>
+
** <b>DFT</b> Current Drift (speed relative to ground) <b>environment.current.drift</b>
 
** <code>DFTx = SOG * Sin (COG) - STW * Sin (H)</code>
 
** <code>DFTx = SOG * Sin (COG) - STW * Sin (H)</code>
 
** <code>DFTy = SOG * Cos (COG) - STW * Cos (H)</code>
 
** <code>DFTy = SOG * Cos (COG) - STW * Cos (H)</code>
 
** <code>DFT= SQRT (DFTx*DFTx  + DFTy*DFTy)</code>
 
** <code>DFT= SQRT (DFTx*DFTx  + DFTy*DFTy)</code>
** <b>SET</b> Current Set (relative to true north) <b>environment.current.setTrue</b>
+
** <b>SET</b> Current Set (direction relative to true north) <b>environment.current.setTrue</b>
 
** <code>SET = ATAN ( DFTx / DFTy )</code>
 
** <code>SET = ATAN ( DFTx / DFTy )</code>
  

Revision as of 08:09, 30 October 2018

calculate True Wind from Apparent Wind

  • AWA Apparent Wind Angle (relative to H) environment.wind.angleApparent
  • H Heading (relative to true north) navigation.headingTrue
    • AWD Apparent Wind Direction (relative to true north) environment.wind.directionTrue
    • AWD = MOD(H+AWA;360)
  • AWS Apparent Wind Speed environment.wind.speedApparent
  • COG Course Over Ground navigation.courseOverGroundTrue
  • SOG Speed Over Ground navigation.speedOverGround
    • TWS True Wind Speed (relative to ground) environment.wind.speedOverGround
    • TWx = SOG * Sin (COG) - AWS * Sin (AWD)
    • TWy = SOG * Cos (COG) - AWS * Cos (AWD)
    • TWS= SQRT (TWx*TWx + TWy*TWy)
    • TWD True Wind Direction (relative to true north) ???
    • TWD = ATAN ( TWx / TWy )
  • STW Speed Trough Water navigation.speedThroughWater
    • DFT Current Drift (speed relative to ground) environment.current.drift
    • DFTx = SOG * Sin (COG) - STW * Sin (H)
    • DFTy = SOG * Cos (COG) - STW * Cos (H)
    • DFT= SQRT (DFTx*DFTx + DFTy*DFTy)
    • SET Current Set (direction relative to true north) environment.current.setTrue
    • SET = ATAN ( DFTx / DFTy )

simplified, assuming H=COG

  • COG Course Over Ground navigation.courseOverGroundTrue
  • SOG Speed Over Ground navigation.speedOverGround
  • AWA Apparent Wind Angle (relative to H) environment.wind.angleApparent
  • AWS Apparent Wind Speed environment.wind.speedApparent
    • AWx = AWS * Cos (AWA)
    • AWy = AWS * Sin (AWA)
    • TWA True Wind Angle (relative to H) environment.wind.angleTrueGround
    • ATAN2(AWy, -SOG + AWx)
    • TWS True Wind Speed (relative to ground) environment.wind.speedOverGround
    • SQRT (POWER(AWy,2) POWER(-SOG + AWx,2))

see also