#' Function density
#'
#' @description
#' Equation of State is from Millero & Poisson (1981) DSR V28: 625-629.
#'
#' INPUT: Salinity (S) in g/kg or pss.
#' Temperature (T) in degrees C.
#'
#' OUTPUT: Density [rho] in g/cc.
#'
#' DEFINE CONSTANTS FOR EQUATION OF STATE
#'
#' @param S Salinity in g/kg or pss (numeric)
#'
#' @param T_C Temperature in degrees C (numeric)
#'
#' @return Density in g/cc
#'
#' @export
#'
DENSITY <- function( S, T_C) {
R0 <- 9.99842594E2
R1 <- 6.793952E-2
R2 <- -9.095290E-3
R3 <- 1.001685E-4
R4 <- -1.120083E-6
R5 <- 6.536332E-9
A0 <- 8.24493E-1
A1 <- -4.0899E-3
A2 <- 7.6438E-5
A3 <- -8.2467E-7
A4 <- 5.3875E-9
B0 <- -5.72466E-3
B1 <- 1.0227E-4
B2 <- -1.6546E-6
C <- 4.8314E-4
# CALCULATE RHO
SR <- sqrt(S)
RHO0 <- R0 + T_C * (R1 + T_C * (R2 + T_C * (R3 + T_C *(R4 + T_C * R5))))
A <- A0 + T_C * (A1 + T_C * (A2 + T_C * (A3 + T_C * A4)))
B <- B0 + T_C * (B1 + T_C * B2)
RHO <- RHO0 + S * (A + B * SR + C * S)
# CONVERT KG/M3 TO g/cc
DENSITY <- RHO / 1000
return( DENSITY )
}
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