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arXiv 1209.0101astro-ph.EP
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系外行星自转对径向速度测量的影响

The Spin Effect on Planetary Radial Velocimetry of Exoplanets

Hajime Kawahara

摘要:

研究了太阳系外行星自转对太阳系外行星昼侧光谱中行星径向速度的影响。为了定性地理解自旋效应,我们在以下假设条件下导出了行星表面强度加权径向速度的解析公式:1)恒定的无进动固体自转,2)分子/原子稳定均匀的分布,3)来自向阳半球的发射模型,4)圆形轨道。在这些假设下,我们发现PRV的曲线被行星自转所扭曲,这种反常的特征是赤道处的自转径向速度和自转轴与轨道运动轴在天球面上的投影角λ_p,类似于Rossiter-McLaughlin效应。后者可以限制行星的自转。利用3 km/s精度的伪卫星模拟数据,我们演示了如何估算λ p和赤道处的自旋径向速度。我们发现,严格的偏心率约束是至关重要的检测自旋效应。虽然我们的公式仍然是定性的,我们的结论是,在向阳面光谱的PRV将是一个强有力的手段来约束行星的自旋。

英文摘要:

We consider the effect of planetary spin on the planetary radial velocity (PRV) in dayside spectra of exoplanets. To understand the spin effect qualitatively, we derive an analytic formula of the intensity-weighted radial velocity from planetary surface on the following assumptions: 1) constant and solid rotation without precession, 2) stable and uniform distribution of molecules/atoms, 3) emission models from dayside hemisphere, and 4) a circular orbit. On these assumptions, we find that the curve of the PRV is distorted by the planetary spin and this anomaly is characterized by spin radial velocity at equator and a projected angle on a celestial plane between the spin axis and the axis of orbital motion λ_p in a manner analogous to the Rossiter-McLaughlin effect. The latter can constrain the planetary obliquity. Creating mock PRV data with 3 km/s accuracy, we demonstrate how λ_p and the spin radial velocity at equator are estimated. We find that the stringent constraint of eccentricity is crucial to detect the spin effect. Though our formula is still qualitative, we conclude that the PRV in the dayside spectra will be a powerful means for constraining the planetary spin.

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