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## Equation Airspeed Movement ##
NCEP.Airspeed <- function(u, v, direction, 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
alpha <- pi - theta*deg2rad - asin((wspd*sin(theta*deg2rad))/airspeed)
## Calculate the wind profit ##
fa <- wspd * cos(theta*deg2rad) + sqrt(airspeed^2 - (wspd * sin(theta*deg2rad))^2) - airspeed
## Calculate the forward and side movements
tailwind <- wspd*(cos(theta*deg2rad))
sidewind <- wspd*(sin(theta*deg2rad))
##
side.move <- ifelse(is.na(fa), NA, 0)
forward.move <- ifelse(is.na(fa), NA, sqrt(wspd^2 + airspeed^2 - 2*wspd*airspeed*cos(alpha)))
## Calculate the bird's ground and air speeds
airspeed <- airspeed
groundspeed <- forward.move
## 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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