EFFICIENT FITTING OF MULTIPLANET KEPLERIAN MODELS TO RADIAL VELOCITY AND ASTROMETRY DATA
EFFICIENT FITTING OF MULTIPLANET KEPLERIAN MODELS TO RADIAL VELOCITY AND ASTROMETRY DATA
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DOI：
10.1088/0067-0049/182/1/205
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发表时间：
2009-04
期刊：
影响因子：
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通讯作者：
Jason T. Wright;Andrew W. Howard;Andrew W. Howard
中科院分区：
文献类型：
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作者：
Jason T. Wright;Andrew W. Howard;Andrew W. Howard
我们描述了一种从径向速度（RV）和/或天体测量数据（精度为1 m s−1和μas）求解多颗行星轨道要素的技术，适用于在恒星的可居住区探测地球质量的行星，例如NASA提出的空间干涉使命。我们包括详细的计算分析衍生物中使用的Levenberg-Marquardt（LM）算法的RV和天体测量数据分别和联合拟合的问题。我们还阐述了分离的线性和非线性组件的模型拟合的LM拟合的上下文中的一般方法，显示如何明确的衍生物可以在这样的模型计算，并证明了这样的计划的速度和收敛性的改善，在五行星适合发表的RV数据为55 CNC的情况下。
We describe a technique for solving for the orbital elements of multiple planets from radial velocity (RV) and/or astrometric data taken with 1 m s−1 and μas precision, appropriate for efforts to detect Earth-massed planets in their stars' habitable zones, such as NASA's proposed Space Interferometry Mission. We include details of calculating analytic derivatives for use in the Levenberg–Marquardt (LM) algorithm for the problems of fitting RV and astrometric data separately and jointly. We also explicate the general method of separating the linear and nonlinear components of a model fit in the context of an LM fit, show how explicit derivatives can be calculated in such a model, and demonstrate the speed up and convergence improvements of such a scheme in the case of a five-planet fit to published RV data for 55 Cnc.