We present a 3D geometrical model to describe the propagation and expansion of coronal mass ejections (CMEs) in the interplanetary space based on radiative proxies to be implemented in previous procedures that use SXR and microwave emissions to estimate the Earth-directed CME propagation speed. We carefully selected a sample of 45 well-defined CME-ICME events to evaluate our model. We computed this 3D geometrical model for each event as a tool to improve the arrival time predictions based on radiative proxies. We conducted a different analysis for each radiative proxy: SXR emission and microwave emission at 9 GHz, and we compared the results separately with the observations by the Wind spacecraft. In general, the results showed that the implementation of our 3D geometrical model improves the predictions and provides an important complement to the arrival time prediction method based on radiative proxies, especially for CME events whose source origin were located at helio longitudes far from the central meridian at least 10°. Improvements for this tool based on observations by Parker Solar Probe and Solar Orbiter must be developed in the future work.

中文翻译：

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基于辐射代理的地球定向 CME 行星际传播的几何描述

我们提出了一个 3D 几何模型，用于描述基于辐射代理在行星际空间中日冕物质抛射 (CME) 的传播和扩展，这些辐射代理将在先前使用 SXR 和微波发射来估计地球定向 CME 传播速度的程序中实施。我们精心挑选了 45 个定义明确的 CME-ICME 事件样本来评估我们的模型。我们为每个事件计算了这个 3D 几何模型，作为改进基于辐射代理的到达时间预测的工具。我们对每个辐射代理进行了不同的分析：SXR 发射和 9 GHz 的微波发射，并将结果分别与 Wind 航天器的观测结果进行了比较。一般来说，结果表明，我们的 3D 几何模型的实施改进了预测，并为基于辐射代理的到达时间预测方法提供了重要的补充，特别是对于源源位于远离中央子午线至少 10 度的太阳经度的 CME 事件°。必须在未来的工作中开发基于帕克太阳探测器和太阳轨道器观测的该工具的改进。