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arXiv 1004.5155astro-ph.IM
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亚μas精度天文测星数据的模拟与分析

Simulation and analysis of sub-μas precision astrometric data for planet-finding

Dmitry Savransky, N. Jeremy Kasdin

摘要:

我们提出了一个矢量制定的干涉观测的一颗恒星,包括重心运动的天文台,恒星的自行,和反射运动的恒星由于轨道行星的影响。我们使用这个模型来经验地确定信号的大小和形式,由于一个单一的地球质量的行星围绕太阳质量的恒星。使用模型已知分量的边界值,我们执行一系列扩展,将残差与此信号进行比较。我们证明了为什么常用的一阶线性化的类似的测量模型是不够的信号的幅度之一,由于地球质量的行星,并提出了一个一致的扩展,这是线性的未知量,与残差多个数量级低于地球质量的行星信号。我们还讨论了模拟或分析这些测量时可能出现的数值问题。

英文摘要:

We present a vector formulation of an interferometric observation of a star, including the effects of the barycentric motion of the observatory, the proper motions of the star, and the reflex motions of the star due to orbiting planets. We use this model to empirically determine the magnitude and form of the signal due to a single Earth-mass planet orbiting about a sun-mass star. Using bounding values for the known components of the model, we perform a series of expansions, comparing the residuals to this signal. We demonstrate why commonly used first order linearizations of similar measurement models are insufficient for signals of the magnitude of the one due to an Earth-mass planet, and present a consistent expansion which is linear in the unknown quantities, with residuals multiple orders of magnitude below the Earth-mass planet signal. We also discuss numerical issues that can arise when simulating or analyzing these measurements.

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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