@@ -147,20 +147,13 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
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* 'simple' - secant(apparent zenith angle) -
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Note that this gives -Inf at zenith=90
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- * 'kasten1966' - See reference [1] -
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- requires apparent sun zenith
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- * 'youngirvine1967' - See reference [2] -
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- requires true sun zenith
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- * 'kastenyoung1989' (default) - See reference [3] -
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- requires apparent sun zenith
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- * 'gueymard1993' - See reference [4] -
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- requires apparent sun zenith
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- * 'young1994' - See reference [5] -
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- requires true sun zenith
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- * 'pickering2002' - See reference [6] -
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- requires apparent sun zenith
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- * 'gueymard2003' - See references [7] and [8] -
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- requires apparent sun zenith
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+ * 'kasten1966' - See [1]_ - requires apparent sun zenith
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+ * 'youngirvine1967' - See [2]_ - requires true sun zenith
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+ * 'kastenyoung1989' (default) - See [3]_ - requires apparent sun zenith
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+ * 'gueymard1993' - See [4]_, [5]_ - requires apparent sun zenith
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+ * 'young1994' - See [6]_ - requires true sun zenith
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+ * 'pickering2002' - See [7]_ - requires apparent sun zenith
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+ * 'gueymard2003' - See [8]_, [9]_ - requires apparent sun zenith
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Returns
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-------
@@ -174,41 +167,57 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
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other models use true (not refraction-adjusted) zenith angle. Apparent
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zenith angles should be calculated at sea level.
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+ Comparison among several models is reported in [10]_.
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+
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References
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----------
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- .. [1] Fritz Kasten. "A New Table and Approximation Formula for the
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- Relative Optical Air Mass". Technical Report 136, Hanover, N.H.:
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- U.S. Army Material Command, CRREL.
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+ .. [1] Fritz Kasten, "A New Table and Approximation Formula for the
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+ Relative Optical Air Mass," CRREL (U.S. Army), Hanover, NH, USA,
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+ Technical Report 136, 1965.
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+ :doi:`11681/5671`
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.. [2] A. T. Young and W. M. Irvine, "Multicolor Photoelectric
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- Photometry of the Brighter Planets," The Astronomical Journal, vol.
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- 72, pp. 945-950, 1967.
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+ Photometry of the Brighter Planets. I. Program and Procedure,"
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+ The Astronomical Journal, vol. 72, pp. 945-950, 1967.
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+ :doi:`10.1086/110366`
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- .. [3] Fritz Kasten and Andrew Young. "Revised optical air mass tables
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- and approximation formula". Applied Optics 28:4735-4738
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+ .. [3] Fritz Kasten and Andrew Young, "Revised optical air mass tables
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+ and approximation formula," Applied Optics 28:4735-4738, 1989.
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+ :doi:`10.1364/AO.28.004735`
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.. [4] C. Gueymard, "Critical analysis and performance assessment of
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clear sky solar irradiance models using theoretical and measured
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data," Solar Energy, vol. 51, pp. 121-138, 1993.
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+ :doi:`10.1016/0038-092X(93)90074-X`
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+
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+ .. [5] C. Gueymard, "Development and performance assessment of a clear
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+ sky spectral radiation model,” in Proc. of the 22nd ASES Conference,
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+ Solar ’93, 1993, pp. 433–438.
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- .. [5] A. T. Young, "AIR-MASS AND REFRACTION," Applied Optics, vol. 33,
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- pp. 1108-1110, Feb 1994.
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+ .. [6] A. T. Young, "Air-Mass and Refraction," Applied Optics, vol. 33,
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+ pp. 1108-1110, Feb. 1994.
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+ :doi:`10.1364/AO.33.001108`
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- .. [6] Keith A. Pickering. "The Ancient Star Catalog". DIO 12:1, 20,
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+ .. [7] Keith A. Pickering, "The Southern Limits of the Ancient Star Catalog
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+ and the Commentary of Hipparchos," DIO, vol. 12, pp. 3-27, Sept. 2002.
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+ Available at `DIO <http://dioi.org/jc01.pdf>`_
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- .. [7 ] C. Gueymard, "Direct solar transmittance and irradiance
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+ .. [8 ] C. Gueymard, "Direct solar transmittance and irradiance
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predictions with broadband models. Part I: detailed theoretical
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performance assessment". Solar Energy, vol 74, pp. 355-379, 2003.
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:doi:`10.1016/S0038-092X(03)00195-6`
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- .. [8] C. Gueymard (2019). Clear-Sky Radiation Models and Aerosol Effects.
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- In: Polo, J., Martín-Pomares, L., Sanfilippo, A. (eds) Solar Resources
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- Mapping. Green Energy and Technology. Springer, Cham.
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+ .. [9] C. Gueymard, "Clear-Sky Radiation Models and Aerosol Effects", in
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+ Solar Resources Mapping: Fundamentals and Applications,
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+ Polo, J., Martín-Pomares, L., Sanfilippo, A. (Eds), Cham, CH: Springer,
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+ 2019, pp. 137-182.
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:doi:`10.1007/978-3-319-97484-2_5`
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- .. [9 ] Matthew J. Reno, Clifford W. Hansen and Joshua S. Stein, "Global
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+ .. [10 ] Matthew J. Reno, Clifford W. Hansen and Joshua S. Stein, "Global
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Horizontal Irradiance Clear Sky Models: Implementation and Analysis"
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- Sandia Report, (2012).
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+ Sandia National Laboratories, Albuquerque, NM, USA, SAND2012-2389, 2012.
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+ :doi:`10.2172/1039404`
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+
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'''
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# set zenith values greater than 90 to nans
@@ -236,7 +245,7 @@ def get_relative_airmass(zenith, model='kastenyoung1989'):
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(np .cos (zenith_rad ) ** 3 +
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0.149864 * (np .cos (zenith_rad ) ** 2 ) +
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0.0102963 * (np .cos (zenith_rad )) + 0.000303978 ))
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- elif 'gueymard1993' == model :
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+ elif 'gueymard1993' == model : # [4], Eq. 22 and [5], Eq. 3b
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am = (1.0 / (np .cos (zenith_rad ) +
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0.00176759 * (z )* ((94.37515 - z ) ** - 1.21563 )))
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elif 'gueymard2003' == model :
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