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                # -*- coding: utf-8 -*-  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # vim:fileencoding=utf-8  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Copyright (c) 2019 Stefan Bender  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # This file is part of pynrlmsise00.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # pynrlmsise00 is free software: you can redistribute it or modify it  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # under the terms of the GNU General Public License as published by  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # the Free Software Foundation, version 2.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # See accompanying LICENSE file or http://www.gnu.org/licenses/gpl-2.0.html.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """NRLMSISE-00 python wrapper for the C version [#]_  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                .. [#] https://www.brodo.de/space/nrlmsise  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from __future__ import absolute_import, division, print_function  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from functools import wraps  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ._nrlmsise00 import gtd7, gtd7d  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                __all__ = ["gtd7_flat", "gtd7d_flat", "msise_model", "msise_flat", "scale_height"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _doc_param(*sub):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	def dec(obj):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		obj.__doc__ = obj.__doc__.format(*sub)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return obj  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	return dec  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def vectorize_function(pyfunc, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""Function decorator acting like :class:`numpy.vectorize`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	All arguments are passed to :class:`numpy.vectorize`. Unlike  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	:class:`numpy.vectorize`, this decorator does not convert the decorated  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	function into an instance of the :class:`numpy.vectorize` class. As a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	result, the decorated function's docstring will be taken into account  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	properly by doc generators (pydoc or Sphinx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	wrapped = np.vectorize(pyfunc, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	@wraps(pyfunc)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	def run_wrapped(*args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return wrapped(*args, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	run_wrapped.__doc__ = wrapped.__doc__  # preserve np.vectorize's `doc` arg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	return run_wrapped  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @_doc_param(gtd7.__doc__)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _gtd7_flat(*args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""Flattened variant of the MSIS `gtd7()` function  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	Returns a single 11-element :class:`numpy.ndarray` instead of  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	the two lists. All arguments except the keywords `flags` and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	`ap_a` can be :class:`numpy.ndarray` to facilitate calculations  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	at many locations/times.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	{0} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	ds, ts = gtd7(*args, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	return np.asarray(ds + ts)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @_doc_param(gtd7d.__doc__)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _gtd7d_flat(*args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""Flattened variant of the MSIS `gtd7d()` function  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	Returns a single 11-element :class:`numpy.ndarray` instead of  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	the two lists. All arguments except the keywords `flags` and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	`ap_a` can be :class:`numpy.ndarray` to facilitate calculations  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	at many locations/times.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	{0} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	ds, ts = gtd7d(*args, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	return np.asarray(ds + ts)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                gtd7_flat = vectorize_function(_gtd7_flat,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		signature='(),(),(),(),(),(),(),(),(),()->(n)',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		excluded=["ap_a", "flags"])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                gtd7d_flat = vectorize_function(_gtd7d_flat,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		signature='(),(),(),(),(),(),(),(),(),()->(n)',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		excluded=["ap_a", "flags"])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def msise_model(time, alt, lat, lon, f107a, f107, ap,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		lst=None, ap_a=None, flags=None, method="gtd7"):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	"""Interface to `gtd7()` [1]_ and `gtd7d()` [2]_  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	Calls the C model function using a :class:`datetime.datetime`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	instance to calculate the day of year, seconds and so on.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	The `method` keyword decides which version to call, the difference  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	being that `gtd7d()` includes anomalous oxygen in the total  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	mass density (`d[5]`), `gtd7()` does not.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	.. [1] https://git.linta.de/?p=~brodo/nrlmsise-00.git;a=blob;f=nrlmsise-00.c#l916  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	.. [2] https://git.linta.de/?p=~brodo/nrlmsise-00.git;a=blob;f=nrlmsise-00.c#l1044  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	time: datetime.datetime  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		Date and time as a `datetime.dateime`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	alt: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		Altitude in km.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	lat: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		Latitude in degrees north.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	lon: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		Longitude in degrees east.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    112
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                	f107a: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		The observed f107a (81-day running mean of f107) centred at date.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	f107: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		The observed f107 value on the previous day.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	ap: float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		The ap value at date.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	lst: float, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		The local solar time, can be different from the calculated one.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	ap_a: list, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		List of length 7 containing ap values to be used when flags[9] is set  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		to -1, otherwise no effect.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	flags: list, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		List of length 24 setting the NRLMSIS switches explicitly.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	method: string, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		Set to "gtd7d" to use `gtd7d()` (which includes anomalous oxygen  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                		in the total mass density) instead of the "standard" `gtd7()` function  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    128
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                		without it.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                	Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                	-------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                	densities: list of floats  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                		0. He number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                		1. O number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                		2. N2 number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                		3. O2 number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                		4. AR number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                		5. total mass density [g cm^-3] (includes d[8] in gtd7d)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                		6. H number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                		7. N number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                		8. Anomalous oxygen number density [cm^-3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                	temperatures: list of floats  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                		0. Exospheric temperature [K]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                		1. Temperature at `alt` [K]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                	Note  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                	----  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                	No date and time conversion will be attempted, the input needs to be  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                	converted before, `dateutil` or `pandas` provide convenient functions.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                	The local solar time is calculated from time and longitude, except when  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                	`lst` is set, then that value is used.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                	The solar and geomagnetic indices have to be provided, so far the values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                	are not included in the module.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                	"""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                	year = time.year  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                	doy = int(time.strftime("%j")) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                	sec = (time.hour * 3600.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                			+ time.minute * 60.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                			+ time.second  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                			+ time.microsecond * 1e-6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                	if lst is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                		lst = sec / 3600. + lon / 15.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                	kwargs = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                	if ap_a is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                		kwargs.update({"ap_a": ap_a}) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                	if flags is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                		kwargs.update({"flags": flags}) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                	if method == "gtd7d":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                		return gtd7d(year, doy, sec, alt, lat, lon, lst, f107a, f107, ap, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                	return gtd7(year, doy, sec, alt, lat, lon, lst, f107a, f107, ap, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                def _msise_flat(*args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                	ds, ts = msise_model(*args, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                	return np.asarray(ds + ts)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                _msise_flatv = np.vectorize(_msise_flat,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                		signature='(),(),(),(),(),(),(),(),(),()->(n)',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                		excluded=["method"])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                @_doc_param(msise_model.__doc__.replace("Interface", "interface")) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                def msise_flat(*args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                	"""Flattened {0} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                	Additional note for the `flat` version  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                	--------------------------------------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                	This flattened version returns a single 11-element array instead of two  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                	separate lists."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                	# Set keyword arguments to None if not given to make `np.vectorize` happy  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                	lst = kwargs.pop("lst", None) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                	ap_a = kwargs.pop("ap_a", None) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                	flags = kwargs.pop("flags", None) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                	return _msise_flatv(*args, lst=lst, ap_a=ap_a, flags=flags, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                def scale_height(alt, lat, molw, temp):  | 
            
            
                                                        
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                	"""Atmospheric scale height  | 
            
            
                                                        
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                	Extracted from the C-code for easy access, with  | 
            
            
                                                        
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                	constants updated to the standard SI values.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                	It is reasonably fast and :mod:`numpy`-broadcasting compatible.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                	Parameters  | 
            
            
                                                        
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                	----------  | 
            
            
                                                        
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                	alt: float or array_like  | 
            
            
                                                        
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                		Altitude in [km].  | 
            
            
                                                        
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                	lat: float or array_like  | 
            
            
                                                        
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                		Geodetic latitude in [degrees N].  | 
            
            
                                                        
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                	molw: float or array_like  | 
            
            
                                                        
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                		Molecular mass at alt in [kg / mol].  | 
            
            
                                                        
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                		Can be derived by dividing the total mass density by  | 
            
            
                                                        
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                		the sum of number densities, e.g. from :func:`gtd7()`,  | 
            
            
                                                        
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                		multiplied by Avogadro's constant (6.0221407e23 / mol).  | 
            
            
                                                        
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                	temp: float or array_like  | 
            
            
                                                        
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                		Temperature at alt in [K].  | 
            
            
                                                        
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                	Returns  | 
            
            
                                                        
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                	-------  | 
            
            
                                                        
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                	scale_height: float or array_like  | 
            
            
                                                        
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                		Scale height in [m].  | 
            
            
                                                        
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                	"""  | 
            
            
                                                        
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                	# Rgas = 8.31446261815324  # J / K / mol  | 
            
            
                                                        
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                	# dgtr = 1.7453292519943295e-2  # rad / deg  | 
            
            
                                                        
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                	c2 = np.cos(2. * 1.7453292519943295e-2 * lat)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                	gsurf = 9.80665 * (1.0 - 0.0026373 * c2)  # m / s2  | 
            
            
                                                        
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                	# re in [km]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                	re = 2. * gsurf / (3.085462e-6 + 2.27e-9 * c2) * 1.0e-3  | 
            
            
                                                        
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                	g = gsurf / (1 + alt / re)**2  | 
            
            
                                                        
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                	return 8.31446261815324 * temp / (g * molw)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                 |