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Multiple spiral branches on late AGB stars Qian Wang Iowa State University

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LL pagasi (Sahai 2010) Sahai 2006

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Model method Bowen codePassing 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 parameters Mass(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 parameters Model NO.Mp(Mjupit er) D (Rstar)Porb (days)# of spiralsTss (Ppuls) 1 21.01889522.43460 2 51.01889522.43460 3 51.1586.1360 4 81.1586.1360 5 101.1586.1360 6 121.1586.1360 7 101.325775.082260 8 101.339786.942400 9 1012.9423640160 10 2018.187394001100

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Origin of super shocks Super shock clusteringShock speed vs Shock Density

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Shock effects Strong shocks and Temp. contour Weak shocks and Temp. Contour

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Shock effects Strong shocks and Molecular accel. contourStrong shocks and dust accel. contour

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Model analysis Density 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 arms Density color map of Model 5Kinetic Temperature map of Model 5

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R(cm) Time (cycle) Density color map

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4 spiral arms Density color map of Model 1 Density color map of Model 2

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4 spiral arms Density Profile at time = 700 cycles Model 1Density Profile at time = 700 cycles Model 2

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2 spiral arms Density color map of Model 7Density color map of Model 8

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2 spiral arms Density Profile at time = 700 cycles Model 7Density Profile at time = 700 cycles Model 8

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1 spiral arm Density color map of Model 9Density color map of Model 10

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1 spiral arm Density Profile at time = 700 cycles Model 9Density Profile at time = 700 cycles Model 10

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Equation for super shocks

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Observation results IRC-10216 (Mauron & Huggins 2000)

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Questions and suggestions Maybe I can explain this

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