gsw_pt_first_derivatives

first derivatives of potential temperature

Contents

USAGE:

[pt_SA, pt_CT] = gsw_pt_first_derivatives(SA,CT)

DESCRIPTION:

Calculates the following two partial derivatives of potential
temperature (the regular potential temperature whose reference sea
pressure is 0 dbar)
 (1) pt_SA, the derivative with respect to Absolute Salinity at
     constant Conservative Temperature, and
 (2) pt_CT, the derivative with respect to Conservative Temperature at
     constant Absolute Salinity.
TEOS-10 
Click for a more detailed description of the first
derivatives of potential temperature.

INPUT:

SA  =   Absolute Salinity                                       [ g/kg ]
CT  =   Conservative Temperature                               [ deg C ]
SA & CT need to have the same dimensions.

OUTPUT:

pt_SA =  The derivative of potential temperature with respect to
         Absolute Salinity at constant Conservative Temperature.
                                                             [ K/(g/kg)]
pt_CT =  The derivative of potential temperature with respect to
         Conservative Temperature at constant Absolute Salinity.
         pt_CT is dimensionless.                            [ unitless ]

EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262;  6.8272;  4.3236;]
[pt_SA, pt_CT] = gsw_pt_first_derivatives(SA,CT)
pt_SA =
   0.041863223165431
   0.041452303483011
   0.034682095247246
   0.018711079068408
   0.014079958329844
   0.010577326129948
pt_CT =
   0.997192967140242
   0.997451686508335
   0.998357568277750
   0.999996224076267
   1.000283719083268
   1.000525947028218

AUTHOR:

Trevor McDougall and Paul Barker              [ help@teos-10.org ]

VERSION NUMBER:

3.01 (26th May, 2011)

REFERENCES:

IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
 seawater - 2010: Calculation and use of thermodynamic properties.
 Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
 UNESCO (English), 196 pp.  Available from the TEOS-10 web site.
  See Eqns. (A.12.6), (A.12.3), (P.6) and (P.8) of this TEOS-10 Manual.
McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2011:  A 
 computationally efficient 48-term expression for the density of 
 seawater in terms of Conservative Temperature, and related properties
 of seawater.  To be submitted to Ocean Science Discussions. 
This software is available from http://www.TEOS-10.org