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Multiple spiral branches on late AGB stars
Qian WangIowa State University
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LL pagasi (Sahai 2010)
Sahai 2006
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Model method
Bowen code Passing planet
+
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Bowen code
• 1-D code with Lagrange zoning.• Hydrodynamic and thermodynamic equation
without magnetic field.• Atmosphere is driven by a sinusoidal piston
below photosphere.• Density dependent thermal relaxation and
Hydrogen cooling at high temperature• Radiation on dust grain and molecules
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Companion characters
• The companion is on a circular orbit. • The mass of the companion ~ 10Mjupiter• The size of the companion is determined by
the average Jupiter density.• The companion has no collision cross section
but only gravity.
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Model parametersMass(Msun) 1
Luminosity(Lsun) 5000
T(K) 2966
R(Rsun) 267.8
Vterminal(km/s at 18R*) 9.35km/s
Mdot(Msun/yr) 1.25e-6
Pulsation period (day) 394
Pulsation Amp.(km/s) 3.974km/s
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Model parametersModel NO. Mp(Mjupit
er)D (Rstar) Porb (days) # of spirals Tss (Ppuls)
1 2 1.01889 522.43 4 60
2 5 1.01889 522.43 4 60
3 5 1.1 586.1 3 60
4 8 1.1 586.1 3 60
5 10 1.1 586.1 3 60
6 12 1.1 586.1 3 60
7 10 1.325 775.082 2 60
8 10 1.339 786.94 2 400
9 10 12.94 23640 1 60
10 20 18.187 39400 1 100
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Origin of super shocksSuper shock clustering Shock speed vs Shock Density
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Shock effectsStrong shocks and Temp. contour Weak shocks and Temp. Contour
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Shock effectsStrong shocks and Molecular accel. contour Strong shocks and dust accel. contour
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Model analysisDensity Profile at time = 700 cycles
Extended density contour of Model 5 at time = 1200 cycles
Model 6
Model 5
Model 4
Model 3
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3 spiral armsDensity color map of Model 5 Kinetic Temperature map of Model 5
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R(cm)
Time (cycle)
Density color map
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4 spiral armsDensity color map of Model 1 Density color map of Model 2
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4 spiral armsDensity Profile at time = 700 cycles Model 1 Density Profile at time = 700 cycles Model 2
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2 spiral armsDensity color map of Model 7 Density color map of Model 8
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2 spiral armsDensity Profile at time = 700 cycles Model 7 Density Profile at time = 700 cycles Model 8
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1 spiral armDensity color map of Model 9 Density color map of Model 10
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1 spiral armDensity Profile at time = 700 cycles Model 9 Density Profile at time = 700 cycles Model 10
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Equation for super shocks
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Pss =Ppuls × Porb
Porb −N × (Porb − Ppuls)
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Observation results
IRC-10216 (Mauron & Huggins 2000)
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Questions and suggestions
Maybe I can explain this