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Possible. Links Between Pulsations & Line-Driven Mass Loss in Massive Stars. Stan Owocki Bartol Research Institute University of Delaware. IAU Colloquium #185 Leuven, Belgium July 26-31, 2001. Outline. Key properties of line-driven mass loss Wind variability
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Possible Links Between Pulsations & Line-Driven Mass Loss in Massive Stars Stan Owocki Bartol Research Institute University of Delaware IAU Colloquium #185 Leuven, Belgium July 26-31, 2001
Outline • Key properties of line-driven mass loss • Wind variability • Discrete Absorption Components • Periodic Absorption Modulations • Candidates for Pulsation Wind Connection • BW Vul • EZ CMa = WR 6 • Possible role of pulsation in initiating mass loss • WR winds • Be disks IAUC 185
Lsob Optically Thick Line-Absorption in an Accelerating Stellar Wind For strong, optically thick lines: IAUC 185
0 < a < 1 CAK ensemble of thick & thin lines Mass loss rate Velocity law Wind-Momentum Luminosity Law CAK model of steady-state wind Equation of motion: inertia gravity CAK line-force Solve for: IAUC 185
@ v v = g r ad dg~ dv’ @ t i ( k r ° ! t ) ± v ª e @ g r ad 0 ° i! ± v = ± v ¥ U ik ± v @ v 0 w =k = ° U Abbott speed r 0 @ g g v v r ad r ad U = ª ª ª v @ v 0 v 0 v 0 Inward-propagating Abbott waves IAUC 185
u=v/vth Line-Driven Instability Instability with growth rate W ~ g/vth ~ v/Lsob ~100 v/R =>e100 growth! for l < Lsob:dg/g ~ du IAUC 185
Radius (R*) Radius (R*) Growth and phase reversal of periodic base perturbation IAUC 185
Velocity Density Time snapshot of wind instability simulation CAK IAUC 185
Cranmer 1996, PhD. Wave-leakage into outflowing wind IAUC 185
Pulsation-Induced Wind Variations in BW Vul Steve Cranmer, Harvard-Smithsonian Stan Owocki, Bartol/U. of Del.
BW Vul light curve IAUC 185
Abbott-mode“kinks” Velocity velocity “plateaus” radiative driving modulated by brightness variations Radius shock compression log(Density) wind base perturbed by dr/r ~ 50 Wind variations from base perturbations in density and brightness IAUC 185
Observations Model Radial velocity IAUC 185
C IV Model line Observations vs. Model IAUC 185
Rotational Modulation of Hot-Star Winds Radiation hydrodynamics simulation of CIRs in a hot-star wind • Monitoring campaigns of P-Cygni lines formed in hot-star winds also often show modulation at periods comparable to the stellar rotation period. • These may stem from large-scale surface structure that induces spiral wind variation analogous to solar Corotating Interaction Regions. HD64760 Monitored during IUE “Mega” Campaign IAUC 185
Phase Bowing IAUC 185
kinematic model with m=l=4 NRP Si IV observation HD 64760 (B0Ia) IAUC 185
NIV in WR 6 m=4 dynamical model WR6 - Pulsational model IAUC 185
So disk matter must be launched from star. The Puzzle of Be Disks • Be stars are too old to still have protostellar disk. • And most Be stars are not in close binary systems. • They thus lack outside mass source to fall into disk. How do Be stars do this?? IAUC 185
Key Puzzle Pieces • Stellar Rotation • Be stars are generally rapid rotators • Vrot ~ 200-400 km/s < Vorbit ~ 500 km/s • Stellar Wind • Driven by line-scattering of star’s radiation • Rotation can lead to Wind Compressed Disk (WCD) • But still lacks angular momentum for orbit • Stellar Pulsation • Many Be stars show Non-Radial Pulsation (NRP) with m < l = 1 - 4 • Magnetic Spin-Up • Bdipole < 100 G => moment arm Ra < few R* ~ Rcorotation • Here examine combination of #’s1, 2, & 3 IAUC 185
Launching into Be star orbit • Requires speed of ~ 500 km/sec. • Be star rotation is often > 250 km/sec at equator. • Launching with rotation needs < 250 km/sec • Requires < a quarter of the energy! • Localized surface ejection self selects orbiting material. DV=250 km/sec Vrot = 250 km/sec IAUC 185
Flux Rotation Rotation + NRP Line-Profile Variations from Non-Radial Pulsation Line-Profile with: Wavelength (Vrot=1) NRP-distorted star (exaggerated) IAUC 185
NRP Mode Beating l=3, m=2 l=2, m=1 l=4, m=2 IAUC 185
NonRadial Radiative Driving • Light has momentum. • Pushes on gas that scatters it. • Drives outflowing “stellar wind”. • Pulsations distort surface and brightness. • Could this drive local gas ejections into orbit?? IAUC 185
CIR from Symmetric Bright Spot on Rapidly Rotating Be Star Vrot = 350 km/s Vorbit= 500 km/s Spot Brightness= 10 Spot Size = 10 o IAUC 185
Symmetric Prominence/Filament IAUC 185
Summary • High-freq. p-modes feed line-driven instability • g-modes can “leak” into wind • Radial pulsational light curve modulates mass loss • distinctive Abbott kinks with velocity plateaus • NRP light variations can lead to CIRs • in Be stars NRP resonances might induce “orbital mass ejection” IAUC 185