# gsw_melting_ice_SA_CT_ratio_poly

```ratio of SA to CT changes when ice melts into
seawater (polynomial)```

## USAGE:

`melting_ice_SA_CT_ratio = gsw_melting_ice_SA_CT_ratio_poly(SA,CT,p,t_Ih)`

## DESCRIPTION:

```Calculates the ratio of SA to CT changes when ice melts into seawater.
It is assumed that a small mass of ice melts into an infinite mass of
seawater.  Because of the infinite mass of seawater, the ice will always
melt.```
```The output, melting_seaice_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 ]
CT   =  Conservative Temperature of seawater (ITS-90)          [ deg C ]
p    =  sea pressure                                            [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )
t_Ih =  in-situ temperature of the ice at pressure p (ITS-90)  [ deg C ]```
```SA, CT and t_Ih must have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA, CT and t_Ih
are MxN.```

## OUTPUT:

```melting_ice_SA_CT_ratio = the ratio of SA to CT changes when ice melts
into a large mass of seawater
```

## EXAMPLE:

```SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [ 3.7856;  3.4329;  2.8103;  1.2600;  0.6886;  0.4403;]
p =  [     10;      50;     125;     250;     600;    1000;]
t_Ih = [-10.7856; -13.4329; -12.8103; -12.2600; -10.8863; -8.4036;] ```
`melting_ice_SA_CT_ratio = gsw_melting_ice_SA_CT_ratio_poly(SA,CT,p,t_Ih)`
`melting_ice_SA_CT_ratio =`
```   0.373840908629278
0.371878512745054
0.377104658031030
0.382777681212224
0.387133812279563
0.393947267481204```

## 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`