def kasten96_lt(airmass_absolute, precipitable_water, aod_bb):
<EOL>delta_cda = -<NUM_LIT> + <NUM_LIT> * airmass_absolute ** (-<NUM_LIT>)<EOL>delta_w = <NUM_LIT> * airmass_absolute ** (-<NUM_LIT>) * precipitable_water ** <NUM_LIT><EOL>delta_a = aod_bb<EOL>lt = -(<NUM_LIT> + <NUM_LIT> * airmass_absolute) * np.log(<EOL>np.exp(-airmass_absolute * (delta_cda + delta_w + delta_a))<EOL>) / airmass_absolute<EOL>return lt<EOL>
Calculate Linke turbidity factor using Kasten pyrheliometric formula.

Note that broadband aerosol optical depth (AOD) can be approximated by AOD
measured at 700 nm according to Molineaux [4] . Bird and Hulstrom offer an
alternate approximation using AOD measured at 380 nm and 500 nm.

Based on original implementation by Armel Oumbe.

.. warning::
    These calculations are only valid for air mass less than 5 atm and
    precipitable water less than 5 cm.

Parameters
----------
airmass_absolute : numeric
    airmass, pressure corrected in atmospheres
precipitable_water : numeric
    precipitable water or total column water vapor in centimeters
aod_bb : numeric
    broadband AOD

Returns
-------
lt : numeric
    Linke turbidity

See also
--------
bird_hulstrom80_aod_bb
angstrom_aod_at_lambda

References
----------
[1] F. Linke, "Transmissions-Koeffizient und Trubungsfaktor", Beitrage
zur Physik der Atmosphare, Vol 10, pp. 91-103 (1922)

[2] F. Kasten, "A simple parameterization of the pyrheliometric formula for
determining the Linke turbidity factor", Meteorologische Rundschau 33,
pp. 124-127 (1980)

[3] Kasten, "The Linke turbidity factor based on improved values of the
integral Rayleigh optical thickness", Solar Energy, Vol. 56, No. 3,
pp. 239-244 (1996)
:doi:`10.1016/0038-092X(95)00114-7`

[4] B. Molineaux, P. Ineichen, N. O'Neill, "Equivalence of pyrheliometric
and monochromatic aerosol optical depths at a single key wavelength",
Applied Optics Vol. 37, issue 10, 7008-7018 (1998)
:doi:`10.1364/AO.37.007008`

[5] P. Ineichen, "Conversion function between the Linke turbidity and the
atmospheric water vapor and aerosol content", Solar Energy 82,
pp. 1095-1097 (2008)
:doi:`10.1016/j.solener.2008.04.010`

[6] P. Ineichen and R. Perez, "A new airmass independent formulation for
the Linke Turbidity coefficient", Solar Energy, Vol. 73, no. 3, pp. 151-157
(2002)
:doi:`10.1016/S0038-092X(02)00045-2`