arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2509.08076astro-ph.EPastro-ph.IM

高通滤波与高斯过程正则化:应用于55 Cancri行星系统的恒星活动表征技术

High-Pass Filtering and Gaussian Process Regularization: Stellar Activity Characterization Techniques Applied to the 55 Cancri Planetary System

Justin Harrell, Sarah E. Dodson-Robinson

AI总结:

针对恒星活动干扰,提出曲率惩罚GP目标函数与高斯滤波去趋势方法,应用于55 Cancri系统,证明4行星模型加GP活动周期不逊于5行星模型,且行星d的存在需更多数据确认。

摘要:

多普勒行星搜索因恒星活动而变得复杂,恒星活动通过宿主恒星光球层和色球层的周期性变化,可能掩盖或模拟行星信号。一种流行的恒星活动建模技术是应用准周期高斯过程(GP)核,该核提供了具有严格误差传播的灵活模型。然而,观测者必须防范过拟合,因为GP可能足够灵活,以至于除了其预期建模的信号外,还会吸收其他信号。为了抵消过拟合,我们引入了一种曲率惩罚目标函数,用于将GP模型拟合到长期磁活动周期。我们还证明,高斯滤波器可以成为对径向速度(RVs)进行去趋势的有效方法,从而即使在缺乏长期趋势数学模型的情况下也能提取较短周期的信号。我们将我们的方法应用于被广泛研究的55 Cancri系统,拟合开普勒轨道加上GP活动周期模型。我们表明,一个包含行星b、c、e和f的4开普勒模型,结合用于活动周期的GP,其表现至少与广泛认可的5行星系统及其自身的GP活动模型相当。我们的结果表明,仅凭RVs无法确定行星d的存在;需要额外数据进行确认。

英文摘要:

Doppler planet searches are complicated by stellar activity, through which cyclical changes in the host star's photosphere and chromosphere can mask or mimic planetary signals. A popular technique for modeling stellar activity is to apply a quasiperiodic Gaussian process (GP) kernel, which provides a flexible model with rigorous error propagation. However, observers must guard against overfitting, as a GP may be flexible enough to subsume other signals besides the one it is intended to model. To counteract overfitting, we introduce a curvature-penalizing objective function for fitting GP models to long-term magnetic activity cycles. We also demonstrate that a Gaussian filter can be an effective method of detrending radial velocities (RVs) so that shorter-period signals can be extracted even in the absence of a mathematical model of the long-term trend. We apply our methods to the heavily studied 55 Cancri system, fitting Keplerian orbits plus the GP activity-cycle model. We show that a 4-Keplerian model that includes planets b, c, e, and f combined with a GP for the activity cycle performs at least as well as the widely agreed-upon 5-planet system with its own GP activity model. Our results suggest that the existence of planet d cannot be established from the RVs alone; additional data are required for confirmation.

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。

↑