arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0807.4323astro-ph
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天体测量和径向速度行星探测之间统计行为的差异

On the Difference in Statistical Behavior Between Astrometric and Radial-Velocity Planet Detections

Andrew Gould

摘要:

天体测量和径向速度的行星探测跟踪非常相似的运动,人们通常认为,探测的统计特性也将是相似的,当它们被缩放到基础观测的信噪比。我表明,这一预期是实现的时期相比,实验的持续时间P/T << 1,但不是当P/T >~ 1。在较长的周期内,天体测量观测模型必须考虑一个额外的干扰参数,这一事实导致质量误差在P/T ~ 0.8时开始恶化,而RV的P/T ~ 1.0。此外,这种恶化也不那么优雅。这种性质上的差异延续到更复杂的情况,即行星在产生近似均匀加速度的遥远伴星存在的情况下被监测。在所有情况下,周期误差开始恶化的时间都稍早一些,但情况在性质上与质量误差相似。这些结果意味着,为了在最长的可达轨道(名义上具有最低的质量灵敏度)上保留天体测量发现空间,需要补充观测来识别或排除可能贡献准均匀加速度的遥远同伴。

英文摘要:

Astrometric and radial-velocity planet detections track very similar motions, and one generally expects that the statistical properties of the detections would also be similar after they are scaled to the signal-to-noise ratio of the underlying observations. I show that this expectation is realized for periods small compared to the duration of the experiment P/T << 1, but not when P/T >~ 1. At longer periods, the fact that models of astrometric observations must take account of an extra nuisance parameter causes the mass error to begin deteriorating at P/T ~ 0.8, as compared to P/T ~ 1.0 for RV. Moreover, the deterioration is much less graceful. This qualitative difference carries over to the more complicated case in which the planet is being monitored in the presence of a distant companion that generates an approximately uniform acceleration. The period errors begin deteriorating somewhat earlier in all cases, but the situation is qualitatively similar to that of the mass errors. These results imply that to preserve astrometric discovery space at the longest accessible orbits (which nominally have the lowest-mass sensitivity) requires supplementary observations to identify or rule out distant companions that could contribute quasi-uniform acceleration.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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