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Orbital evolution of compact Black-hole binaries and white dwarf binaries Wencong Chen Astro-ph/0511760 Astro-ph/0510331
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Astro-ph/0511760 1.Introduction: Conventional magnetic braking (MB): radiative envelopes inoperative, Md<1.5 solar mass Author’s suggestion: Compact binaries with Ap & Bp stars Irradiation driven stellar wind Lead to significant MB Magnetic braking of Ap/Bp stars: application to compact BH X-ray binaries
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9 of 17 compact BH X-ray binaries: P<1d, Md<1 solar mass Galactic: 1000 short period BH binaries (Wijers, 96; Romani, 98) How to form short period and low donor mass BH binaries? Intermediate mass (IM) star with Strong magnetic field, irradiation driven wind A plausible AM loss mechanism Produce short period low mass BH binaries
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Loss rate of AM due to MB: 2. Assumptions and derivations: Assume wind corotates out to magnetospheric radius
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2.1 estimate of the required wind loss rate Mass conservative If adot<0
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For a typical mass ratio Mass –radius relation of donor star
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2.2 Irradiation driven winds Irradiation stellar wind loss rate Stellar wind was driven irradiation in compact binaries ( Ruderman 89) Wind driving parameter maximum
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2.3 analytic results for MB torque: Total AM of system Mass conservative and adot=0
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2.4 effects on the canonical LMXB population
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3. BH binary populations Suggest part of IM star possess strong magnetic field (Ap,Bp stars) New MB in strong field systems via irradiation induced stellar wind Cause a subset of BH binaries to evolve to short periods Assume Bs is a constant, even during mass loss Use an updated version of Eggleton’s code Initial conditions:
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3.1 long and short period: population statistics Ap stars ~5% in A stars Zero magnetic field: 0.2-0.4Gyr Strong field: 10Gyr
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3.2 observational test: spectral types
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4. Summary and conclusions New MB can cause BH binaries involving Ap/Bp donor stars to evolve to short periods (P<10hr) BH binaries with IM donor star is reasonable than ones with low mass donor star Author’s model is successful at reproducing the short periods and low donor mass Shortcoming: Calculative effective temperatures are significantly higher that for those of the observed donor stars.
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Astro-ph/0510331 1.introduction : CVs: white dwarf primary low mass main sequence secondary Main period distribution: 1.3-10 hours Two major features: Period gap 2-3 hours period minimum 1.3 hour Standard model Detection of a period decrease in NN Ser with ULTRACAM: evidence for strong magnetic braking or an unseen companion
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In this paper: Measure mid-eclipse timing find period change To calculate AM loss Pdot~5*10^(-4) s /yr Contamination of light curve by accretion process So choose pre-CV NN ser NN ser: WD and M dwarf with ~0.15 solar mass High time resolution of ULTRACAM ~0.15S Deeply eclipsing >4.8mag, strong reflection effect ~0.6mag Orbital period 0.13days
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2. Analysis & results: A best fit linear ephemeris A best fit quadratic ephemeris Eclipse time Rate of period decrease
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The average rate of period change The current rate of period change
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3. discussion- mechanisms for period changes: Applegate’s mechanism (92) Presence of third body in a long orbit around binary A genuine AM loss 3.1 Applegate’s mechanism Gravitational coupling Shape change of secondary Change of quadrupole moment Period change
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3.2 third body Light travel time variation leads to period change 0.0043 solar mass < M3 < 0.18 solar mass 30yr < P3 < 285 yr A low mass companion could cause the observed changes in mid-eclipse timings
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3.3 AM loss models 1. Gravitational radiation 2. Standard MB (Rappaport, 83)
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3. Reduced MB (Sills, 2000)
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4. conclusions: Two possible explanations: Presence of a third body Genuine AM loss: standard MB by Rappaport, no cut off Reduced MB underestimate ~ 2 orders of magnitude
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