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arXiv 0810.1589astro-ph
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多普勒行星探测器中的选择函数

Selection Functions in Doppler Planet Searches

S. J. O'Toole, C. G. Tinney, H. R. A. Jones, R. P. Butler, G. W. Marcy, B. Carter, J. Bailey

摘要:

我们提出了一个初步的分析,英澳行星搜索数据的太阳系外行星的轨道参数的敏感性。为此,我们开发了新的工具,用于自动分析多普勒速度行星搜索数据的大规模模拟。其中一个工具是二维开普勒Lomb-Scargle周期图,它可以直接检测具有高偏心率的系外行星(标准Lomb-Scargle周期图通常无法做到这一点)。我们使用这种技术重新确定了HD20782 b的轨道参数,它是已知最高的系外行星之一(e=0.97+/-0.01)。我们还推导出一组检测标准,不依赖于拟合开普勒轨道参数的分布函数(我们显示非高斯与明显的,扩展的翅膀)。使用这些工具,我们研究了选择功能的轨道周期,偏心率和行星质量的英澳行星搜索数据的三颗行星与大规模的Monte Carlo模拟。我们发现,系外行星的可探测性下降,在高偏心率。然而,我们也发现,系外行星的可探测性是一个强大的功能,历元到历元的数据质量,观测数量和周期采样。这有力地表明,基于“整体调查”指标的系外行星可探测性的简单参数化可能并不准确。我们已经推导出了轨道参数的不确定性估计之间的经验关系,这些参数的误差是从最小二乘开普勒拟合到我们的模拟中得出的,而这些参数的误差的真实99%极限比等效高斯极限大5-10倍。(节略)

英文摘要:

We present a preliminary analysis of the sensitivity of Anglo-Australian Planet Search data to the orbital parameters of extrasolar planets. To do so, we have developed new tools for the automatic analysis of large-scale simulations of Doppler velocity planet search data. One of these tools is the 2-Dimensional Keplerian Lomb-Scargle periodogram, that enables the straightforward detection of exoplanets with high eccentricities (something the standard Lomb-Scargle periodogram routinely fails to do). We used this technique to re-determine the orbital parameters of HD20782b, with one of the highest known exoplanet eccentricities (e=0.97+/-0.01). We also derive a set of detection criteria that do not depend on the distribution functions of fitted Keplerian orbital parameters (which we show are non-Gaussian with pronounced, extended wings). Using these tools, we examine the selection functions in orbital period, eccentricity and planet mass of Anglo-Australian Planet Search data for three planets with large-scale Monte Carlo-like simulations. We find that the detectability of exoplanets declines at high eccentricities. However, we also find that exoplanet detectability is a strong function of epoch-to-epoch data quality, number of observations, and period sampling. This strongly suggests that simple parametrisations of the detectability of exoplanets based on "whole-of-survey" metrics may not be accurate. We have derived empirical relationships between the uncertainty estimates for orbital parameters that are derived from least-squares Keplerian fits to our simulations, and the true 99% limits for the errors in those parameters, which are larger than equivalent Gaussian limits by factors of 5-10. (abridged)

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