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tomlouden committed Apr 28, 2017
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Brightness maps
=====================================

Zhang and Showman 2017
-----------------------

main parameters:

**xi**
Ratio of radiative to advective timescale (unit: Unitless)

**T_n**
Temperature of the nightside of the planet (unit: Kelvin)

**delta_T**
Day-night temperature contrast (unit: Kelvin)

An example square plot:

.. figure:: images/zhang_t_square.png
:width: 800px
:align: center
:alt: alternate text
:figclass: align-center

An example four phase plot:

.. figure:: images/zhang_t_temp_map.png
:width: 800px
:align: center
:alt: alternate text
:figclass: align-center

The resulting lightcurves for several parameter values

.. figure:: images/zhang_change_eta.png
:width: 800px
:align: center
:alt: alternate text
:figclass: align-center


Offset hotspot
--------------------

Expand Down Expand Up @@ -81,14 +120,14 @@ The hotspot can either be specified as "hotspot_b", to directly specify the frac
Or as "hotspot_t" to specify in terms of brightness temperature, in which case the following parameters are used instead. In this case the wavelength range to integrate over must be specified.

**spot_T**
The surface brightness of the hotspot as a fraction of the surface brightness of the star, typically of order ~1e-4 for hot Jupiters (unitless)
The surface brightness of the hotspot as a fraction of the surface brightness of the star, typically of order ~1000 K for hot Jupiters (unit: kelvin)

**p_T**
The brightness temperature of the planet that is not in the hotspot as a fraction of the surface brightness of the star. This value will depend strongly on the physics of heat transport in the planets atmosphere and may be several orders of magnitude fainter than the spot (unitless)
The brightness temperature of the planet that is not in the hotspot. This value will depend strongly on the physics of heat transport in the planets atmosphere and may be significantly cooler than the spot (unit: degrees)

.. note:: Because there is a sharp contrast in flux levels between *spot* and *not spot* regions, this brightness model can have issues with quantisation, which produces unphysical "steps" in the lightcurve. This can be for the time being be solved by including a numerical integration step in regions with sharp contrasts with the optional paramter "grid_size"


cont

**grid_size**
This model has a sharp boundary, so can have quantization issues. Regions with sharp changes in brightness are for now integrated numerically instead of analytically, this sets the number of grid points to use in the integration along each direction, to the total number of additional function calls will be this value squared. Setting this too high can significantly slow the code down, however if it is too low fits may be numerically unstable. Use caution. This is a temporary fix and is intended to be removed in a future version (default: 10)
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