# gsw_cabbeling

    cabbeling coefficient (48-term equation)

## Contents

- USAGE:
- DESCRIPTION:
- INPUT:
- OUTPUT:
- EXAMPLE:
- AUTHOR:
- VERSION NUMBER:
- REFERENCES:

## USAGE:

    cabbeling = gsw_cabbeling(SA,CT,p)

## DESCRIPTION:

    Calculates the cabbeling coefficient of seawater with respect to
    Conservative Temperature.  This function uses the computationally-
    efficient 48-term expression for density in terms of SA, CT and p
    (McDougall et al., 2011)

    Note that the 48-term equation has been fitted in a restricted range of
    parameter space, and is most accurate inside the "oceanographic funnel"
    described in McDougall et al. (2011).  The GSW library function
    "gsw_infunnel(SA,CT,p)" is avaialble to be used if one wants to test if
    some of one's data lies outside this "funnel".

    Click for a more detailed description of the cabbeling
    coefficient.

## INPUT:

    SA  =  Absolute Salinity                                        [ g/kg ]
    CT  =  Conservative Temperature                                [ deg C ]
    p   =  sea pressure                                             [ dbar ]
           ( i.e. absolute pressure - 10.1325 dbar )

    SA & CT need to have the same dimensions.
    p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

## OUTPUT:

    cabbeling  =  cabbeling coefficient with respect             [ 1/(K^2) ]
                  to Conservative Temperature.

## 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;]
    p =  [     10;      50;     125;     250;     600;    1000;]

    cabbeling = gsw_cabbeling(SA,CT,p)

    cabbeling =

    1.0e-004 *

       0.086714418929414
       0.086896846098803
       0.092576793986774
       0.108971394410689
       0.112995099379498
       0.115427535671542

## AUTHOR:

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

## VERSION NUMBER:

    3.01 (11th 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. (3.9.2) and (P.4) 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.

    The software is available from http://www.TEOS-10.org