# gsw_melting_ice_equilibrium_SA_CT_ratio_poly

```ratio of SA to CT changes when ice melts into a large
mass of seawater, with both the seawater and ice
temperatures being almost equal to the equilibrium freezing
temperature (polynomial)```

## USAGE:

```melting_ice_equilibrium_SA_CT_ratio = ...
gsw_melting_ice_equilibrium_SA_CT_ratio_poly(SA,p)```

## DESCRIPTION:

```Calculates the ratio of SA to CT changes when ice melts into
seawater with both the seawater and the ice temperatures being almost
equal to the equilibrium freezing temperature.  It is assumed that a
small mass of ice melts into an infinite mass of seawater.  If indeed
the temperature of the seawater and the ice were both equal to the
freezing temperature, then no melting or freezing would occur; an
melting to occur (the three temperatures being (1) the seawater
temperature, (2) the ice temperature, and (3) the freezing
temperature.```
```The output, melting_ice_equilibrium_SA_CT_ratio, is dSA/dCT rather than
dCT/dSA.  This is done so that when SA = 0, the output, dSA/dCT is zero
whereas dCT/dSA would be infinite.```

## INPUT:

```SA  =  Absolute Salinity of seawater                            [ g/kg ]
p  =  sea pressure                                              [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )]```
`p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA is MxN.`

## OUTPUT:

```melting_ice_equilibrium_SA_CT_ratio = the ratio dSA/dCT of SA to CT
changes when ice melts into seawater, with
the seawater and seaice being close to the
freezing temperature.            [ g/(kg K) ]```

## EXAMPLE:

```SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
p =  [     10;      50;     125;     250;     600;    1000;]```
```melting_ice_equilibrium_SA_CT_ratio = ...
gsw_melting_ice_equilibrium_SA_CT_ratio_poly(SA,p)```
`melting_ice_equilibrium_SA_CT_ratio =`
```   0.420209444587263
0.422511664682796
0.424345538275708
0.422475965003649
0.422023755182266
0.423038080717229```

## AUTHOR:

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

## VERSION NUMBER:

`3.05 (16th February, 2015)`

## 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.```
```McDougall, T.J., P.M. Barker, R. Feistel and B.K. Galton-Fenzi, 2014:
Melting of Ice and Sea Ice into Seawater and Frazil Ice Formation.
Journal of Physical Oceanography, 44, 1751-1775.```
`The software is available from http://www.TEOS-10.org`