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arXiv 0805.3532astro-ph
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ExoFit:由径向速度计算太阳系外行星的轨道参数

ExoFit: Orbital Parameters of Extra-solar Planets from Radial Velocities

Sreekumar T. Balan, Ofer Lahav

摘要:

太阳系外行星轨道参数的反演是一个相当大的统计挑战,由于采样稀疏、测量误差、参数简并和模型的限制,基本参数,如周期和偏心率,没有唯一的值。在这里,我们估计的径向速度数据的贝叶斯框架中的轨道参数,利用马尔可夫链蒙特卡罗(MCMC)模拟与大都会黑斯廷斯算法。我们遵循格雷戈里和福特最近提出的方法。我们的MCMC的实现是基于面向对象的方法概述了格雷夫斯。我们使我们得到的代码,ExoFit,公开与本文。它可以搜索一个或两个行星,如模拟数据所示。作为一个例子,我们重新分析的同伴HD 187085和HD 159868从公布的径向速度数据的轨道解。我们确认了HD 187085伴星轨道参数的简并度,并表明这颗行星更可能具有低偏心率轨道。对于HD 159868,我们获得了略微不同的轨道解和相对较高的“噪声”因子,表明径向速度数据中存在不明信号。ExoFit的设计可以扩展到各种概率模型,包括不同的贝叶斯先验。

英文摘要:

Retrieval of orbital parameters of extrasolar planets poses considerable statistical challenges.Due to sparse sampling, measurement errors, parameters degeneracy and modelling limitations, there are no unique values of basic parameters, such as period and eccentricity. Here, we estimate the orbital parameters from radial velocity data in a Bayesian framework by utilizing Markov Chain Monte Carlo (MCMC) simulations with the Metropolis-Hastings algorithm. We follow a methodology recently proposed by Gregory and Ford. Our implementation of MCMC is based on the object-oriented approach outlined by Graves. We make our resulting code, ExoFit, publicly available with this paper. It can search for either one or two planets as illustrated on mock data. As an example we re-analysed the orbital solution of companions to HD 187085 and HD 159868 from the published radial velocity data. We confirm the degeneracy reported for orbital parameters of the companion to HD 187085, and show that a low-eccentricity orbit is more probable for this planet. For HD 159868, we obtained slightly different orbital solution and a relatively high 'noise' factor indicating the presence of an unaccounted signal in the radial velocity data. ExoFit is designed in such a way that it can be extended for a variety of probability models, including different Bayesian priors.

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