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## Equation M.Groundspeed ##
NCEP.M.Groundspeed <- function(u, v, direction, p.airspeed,...){
deg2rad = pi/180 # Conversion degrees to radians
rad2deg = 180/pi # Conversion radians to degrees
wdir <- ifelse(u==0 & v==0, direction, atan2(u,v)*rad2deg) ## Calculate wind direction
wspd <- sqrt(u^2 + v^2) ## Calculate wind speed
theta <- wdir-direction ## Calculate angle between wind and bird
## Calculate tail and side wind components and the preferred groundspeed ##
tailwind <- wspd*(cos(theta*deg2rad))
sidewind <- wspd*(sin(theta*deg2rad))
p.groundspeed <- p.airspeed + tailwind
## Calculate forward and sideways movement ##
side.move <- 0
forward.move <- p.groundspeed
## Calculate the bird's airspeed and groundspeed ##
airspeed <- (sqrt(p.groundspeed^2 + wspd^2 - 2 * p.groundspeed * wspd * (cos(theta * deg2rad))))
groundspeed <- p.groundspeed
## Calculate the wind profit ##
fa <- groundspeed - airspeed
## Put all variables in a data.frame and return ##
move <- data.frame(fa, forward.move, side.move, tailwind, sidewind, airspeed, groundspeed)
return(move)
}
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