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exoplanet_transits.ejss
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exoplanet_transits.ejss
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<?xml version="1.0" encoding="UTF-16"?>
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<!-- Please, save the file to your hard disk on your Ejs' user directory and open it with Ejs. -->
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<Abstract><![CDATA[[email protected]]]></Abstract>
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<Author><![CDATA[Mario Belloni - Davidson College]]></Author>
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<Comment><![CDATA[radius of star in terms of jupiter radius]]></Comment>
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<Comment><![CDATA[area of star seen]]></Comment>
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<Comment><![CDATA[area of overlap between exoplanet and star]]></Comment>
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<Comment><![CDATA[variable for the absolute value of y coordinate for determining overlap of exoplanet with star]]></Comment>
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<Comment><![CDATA[]]></Comment>
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<Code><![CDATA[
t=0;
Rs = 9.728*Rstar;
azimuth = 0.0;
speed2=5*speed;
angle=angle2*Math.PI/180.0;
]]></Code>
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]]></Code>
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]]></Code>
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<Comment><![CDATA[angle calculation for Kepler's laws for 1 AU, time scaled in plot]]></Comment>
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<Type>EVOLUTION_EDITOR</Type>
<Name>codePhiEvolution</Name>
<Active>true</Active>
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<Comment><![CDATA[]]></Comment>
<Code><![CDATA[
t+= dt;
phi=-Math.PI/2.0+2.0*Math.PI*t;
]]></Code>
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<Active>true</Active>
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<Comment><![CDATA[]]></Comment>
<Code><![CDATA[
speed2=5*speed;
//update dark side angle
phi2=phi+Math.PI;
//make sure that size of star is scaled correctly
Rs = Rstar*9.728;
//compute radial coordinate for planet (Kepler)
r = a*(1-e*e)/(1+e*Math.cos(phi));
//compute x and y coordinates for planet in its orbital plane
x = r*Math.cos(phi);
y = r*Math.sin(phi);
z = 0;
]]></Code>
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<Comment><![CDATA[]]></Comment>
<Code><![CDATA[
//compute overlap area
angle=angle2*Math.PI/180.0;
//transit cannot occur when planet behind star
if (x < 0)
{
overlap = 0;
}
//planet completely outside star's disk [scale+perspective adjustments too]
else if (Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5) > (Rs + Re)/20)
{
//planet still too far away to have an overlap
overlap = 0;
}
//planet completely inside star's disk [scale+perspective adjustments too]
else if (Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5) < (Rs - Re)/20)
{
//second and third contact gives complete overlap
overlap = Math.PI * Re * Re;
}
//planet not completely in or out of star's disk
else
{
//calculate y position of the planet
Y = Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5)*20; //scale Y to Re
//first and fourth contact gives partial overlap
overlap = (Re*Re*Math.acos((Y*Y-Rs*Rs+Re*Re)/(2*Y*Re))+Rs*Rs*Math.acos((Y*Y+Rs*Rs-Re*Re)/(2*Y*Rs))-0.5*Math.pow((-Y+Re+Rs)*(Y+Re-Rs)*(Y-Re+Rs)*(Y+Re+Rs),0.5));
}
]]></Code>
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<Type>CODE_EDITOR</Type>
<Name>ComputeOccultationOverlap</Name>
<Active>true</Active>
<Internal>false</Internal>
<Content>
<Comment><![CDATA[]]></Comment>
<Code><![CDATA[
//now calculate occultation of exoplanet
//compute occultation area
//transit cannot occur when planet in front of star
if (x > 0)
{
//planet not occulted by star
occultation = 0;
}
//planet still too far away
else if (Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5) > (Rs + Re)/20)
{
//planet not occulted by star
occultation = 0;
}
//second and third contact
else if (Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5) < (Rs - Re)/20)
{
//planet completely occulted by star
occultation = 1;
}
//first and fourth contact
else
{
//calculate y position of the planet
Y2 = Math.pow(y*y + r*r*Math.sin(angle)*Math.sin(angle), 0.5)*20; //scale y to Re and Rs
//planet not completely occulted by star's disk
occultation = (1/(Math.PI*Re*Re))*(Re*Re*Math.acos((Y2*Y2-Rs*Rs+Re*Re)/(2*Y2*Re))+Rs*Rs*Math.acos((Y2*Y2+Rs*Rs-Re*Re)/(2*Y2*Rs))-0.5*Math.pow((-Y2+Re+Rs)*(Y2+Re-Rs)*(Y2-Re+Rs)*(Y2+Re+Rs),0.5));
}
//assume exoplanet is at 1 AU [[2092.5 RJ = 1 AU and RJ = 1 unit and Rs = 10 units]]
//calculate the reflection=albedo*area*(phaseCalculation)*(1-occultation)
reflection = albedo*Math.PI*Rs*Rs*(Re*Re/2092.5/2092.5/b/b)*(Math.sin(phi/2)*Math.sin(phi/2)*Math.cos(angle)*Math.cos(angle)+0.5*Math.sin(angle)*Math.sin(angle))*(1-occultation);
]]></Code>
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</Osejs.Model.Constraints.Page>
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<Type>CODE_EDITOR</Type>
<Name>Compute Total Signal</Name>
<Active>true</Active>
<Internal>false</Internal>
<Content>
<Comment><![CDATA[]]></Comment>
<Code><![CDATA[
//total area is star area minus overlap plus reflection
//area of star seen by observer + reflection off exoplanet
area = Math.PI * Rs * Rs - overlap + reflection;
//use arbitrary units
norm = Math.PI*Rs*Rs;
//set graph max/min
max = (1.001*Math.PI*Rs*Rs+1.5*albedo*albedo*Math.PI*Rs*Rs*(Re*Re/2092.5/2092.5/b/b))/norm;
min = (Math.PI*Rs*Rs-1.05*(Math.PI*Re*Re))/norm;
]]></Code>
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<Name>HtmlView Page</Name>
<Active>true</Active>
<Internal>false</Internal>
<Content>
<SizeOption>0</SizeOption>
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<Y>0</Y>
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<Height>600</Height>
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<Name><![CDATA[singleDrawing3DPanel]]></Name>
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<Parent><![CDATA[singleDrawing3DPanel]]></Parent>
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<HtmlView.Element>
<Expanded>true</Expanded>
<Type>Elements.Display3DPanel</Type>
<Name><![CDATA[drawingPanel3D]]></Name>
<Parent><![CDATA[wrappedPanel]]></Parent>
<Property name="Draggable"><![CDATA["NONE"]]></Property>
<Property name="CameraZ"><![CDATA[-0.01]]></Property>
<Property name="CameraY"><![CDATA[0.0]]></Property>
<Property name="CameraX"><![CDATA[6.0]]></Property>
<Property name="Background"><![CDATA["Black"]]></Property>
<Property name="CameraAltitude"><![CDATA[angle2]]></Property>
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<Property name="Enabled"><![CDATA[true]]></Property>
<Property name="CameraFocusZ"><![CDATA[0.0]]></Property>
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<Property name="Lights"><![CDATA[99]]></Property>
<Property name="CameraAzimuth"><![CDATA[azimuth]]></Property>
<Property name="Height"><![CDATA[400]]></Property>
<Property name="DecorationType"><![CDATA["NONE"]]></Property>
<Property name="Width"><![CDATA[400]]></Property>
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<Name><![CDATA[sphere3D]]></Name>
<Parent><![CDATA[drawingPanel3D]]></Parent>
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<Property name="FillColor"><![CDATA["Orange"]]></Property>
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<Property name="DrawLines"><![CDATA[false]]></Property>
<Property name="DrawFill"><![CDATA[true]]></Property>
<Property name="Resolution"><![CDATA[60,60,60]]></Property>
</HtmlView.Element>
<HtmlView.Element>
<Type>Elements.Sphere3D</Type>
<Name><![CDATA[exoplanet3D]]></Name>
<Parent><![CDATA[drawingPanel3D]]></Parent>
<Property name="Radius"><![CDATA[Re/20]]></Property>
<Property name="FillColor"><![CDATA["Red"]]></Property>
<Property name="Transformation"><![CDATA[[[phi2,0,0,1]]]]></Property>
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<Property name="X"><![CDATA[x]]></Property>
<Property name="Y"><![CDATA[y]]></Property>
<Property name="Z"><![CDATA[z]]></Property>
<Property name="MaxAngleU"><![CDATA[180]]></Property>
<Property name="Visibility"><![CDATA[true]]></Property>
<Property name="DrawLines"><![CDATA[false]]></Property>
<Property name="DrawFill"><![CDATA[true]]></Property>
<Property name="Resolution"><![CDATA[60,60,60]]></Property>
</HtmlView.Element>
<HtmlView.Element>
<Type>Elements.Sphere3D</Type>
<Name><![CDATA[exoplanetNight]]></Name>
<Parent><![CDATA[drawingPanel3D]]></Parent>
<Property name="Radius"><![CDATA[Re/20]]></Property>
<Property name="FillColor"><![CDATA["DarkGray"]]></Property>
<Property name="Transformation"><![CDATA[[[phi,0,0,1]]]]></Property>
<Property name="MinAngleU"><![CDATA[0]]></Property>
<Property name="X"><![CDATA[x]]></Property>
<Property name="Y"><![CDATA[y]]></Property>
<Property name="Z"><![CDATA[z]]></Property>
<Property name="MaxAngleU"><![CDATA[180]]></Property>
<Property name="Visibility"><![CDATA[true]]></Property>
<Property name="DrawLines"><![CDATA[false]]></Property>
<Property name="DrawFill"><![CDATA[true]]></Property>
<Property name="Resolution"><![CDATA[60,60,60]]></Property>
</HtmlView.Element>
<HtmlView.Element>
<Type>Elements.Trail3D</Type>
<Name><![CDATA[trail3D]]></Name>
<Parent><![CDATA[drawingPanel3D]]></Parent>
<Property name="Maximum"><![CDATA[1050]]></Property>
<Property name="InputZ"><![CDATA[z]]></Property>
<Property name="Connected"><![CDATA[true]]></Property>
<Property name="LineColor"><![CDATA["White"]]></Property>
<Property name="InputX"><![CDATA[x]]></Property>
<Property name="InputY"><![CDATA[y]]></Property>
</HtmlView.Element>
<HtmlView.Element>
<Expanded>true</Expanded>
<Type>Elements.Panel</Type>
<Name><![CDATA[controlPanel]]></Name>
<Parent><![CDATA[wrappedPanel]]></Parent>
<Property name="CSS"><![CDATA[{"display":"block"}]]></Property>
<Property name="Background"><![CDATA["Gray"]]></Property>
<Property name="BorderStyle"><![CDATA["solid"]]></Property>
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<Expanded>true</Expanded>
<Type>Elements.Panel</Type>
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<Parent><![CDATA[controlPanel]]></Parent>
<Property name="BorderStyle"><![CDATA["solid"]]></Property>
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<Type>Elements.TwoStateButton</Type>
<Name><![CDATA[runPauseButton]]></Name>
<Parent><![CDATA[firstRowPanel]]></Parent>
<Property name="OffClick"><![CDATA[%_pause%]]></Property>
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<Type>Elements.Button</Type>
<Name><![CDATA[resetTraces]]></Name>
<Parent><![CDATA[firstRowPanel]]></Parent>
<Property name="Tooltip"><![CDATA["Clear all traces in all frames."]]></Property>
<Property name="Text"><![CDATA["Clear"]]></Property>
<Property name="OnPress"><![CDATA[
%_view._initialize%
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