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arXiv 0810.0237astro-ph
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高频QPO扩展轨道共振模型对XTE J1650-500黑洞质量的估计

Mass estimate of the XTE J1650-500 black hole from the Extended Orbital Resonance Model for high-frequency QPOs

Petr Slany, Zdenek Stuchlik

摘要:

XTE J1650 - 500是一个银河系黑洞双星系统,至少有一个250Hz的高频QPO被报道。此外,有迹象表明,该系统拥有一个近极端的克尔黑洞,其自旋接近0.998,质量M <7.3M_sun。最近发现,在局部非旋转坐标系下分析自旋a> 0.9953的Kerr黑洞的Keplerian(测地线)盘的轨道3-速度,发现在边缘稳定轨道附近有一个驼峰。此外,有人建议,驼峰可以激发附近的ISCO的粒子的周转运动的频率典型的高频QPO。驼峰诱发振荡的特征频率被定义为LNRF相关轨道速度在适当径向距离下的最大正变化率。如果特征“驼峰频率”和径向周转频率是可互换的,则预期会出现强共振现象。对于自旋为a = 0.9982的克尔黑洞,"驼峰频率"与径向周转频率之比为1:3。将径向周转频率与观测到的250 Hz QPO相鉴别,得到了XTE J1650 - 500中5.1 M太阳附近的黑洞的质量。

英文摘要:

XTE J1650-500 is a Galactic black-hole binary system for which at least one high-frequency QPO at 250Hz was reported. Moreover there are indications that the system harbours a near-extreme Kerr black-hole with the spin near 0.998 and mass M<7.3M_sun. Recently it was discovered that the orbital 3-velocity of Keplerian (geodesical) discs orbiting Kerr black holes with the spin a>0.9953, being analyzed in the locally non-rotating frames, reveals a hump near the marginally stable orbit. Further it was suggested that the hump could excite the epicyclic motion of particles near the ISCO with frequencies typical for high-frequency QPOs. Characteristic frequency of the hump-induced oscillations was defined as the maximal positive rate of change of the LNRF-related orbital velocity with the proper radial distance. If the characteristic "humpy frequency" and the radial epicyclic frequency are commensurable, strong resonant phenomena are expected. For the Kerr black hole with the spin a=0.9982 the "humpy frequency" and the radial epicyclic frequency are in ratio 1:3. Identifying the radial epicyclic frequency with the observed 250Hz QPO, we get the mass of the black hole in XTE J1650-500 near 5.1M_sun.

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