Quantifying the Toroidal Flux of Pre-existing Flux Ropes of CMEs
C. Xing, X. Cheng, Jiong Qiu, Qiang Hu, E. R. Priest, and M. D. Ding

TL;DR
This paper introduces a model to estimate the toroidal flux of pre-existing CME flux ropes by subtracting reconnection flux from in-situ measurements, revealing significant pre-eruption flux contributions.
Contribution
It presents a novel method to quantify pre-existing flux rope flux using geometric reconnection models and applies it to real CME events.
Findings
Pre-existing flux ropes contribute 40-88% of the total flux.
Pre-eruption flux is often comparable to eruption-generated flux.
The model enhances understanding of CME magnetic structure.
Abstract
In past decades, much progress has been achieved on the origin and evolution of coronal mass ejections (CMEs). In-situ observations of the counterparts of CMEs, especially magnetic clouds (MCs) near the Earth, have provided measurements of the structure and total flux of CME flux ropes. However, it has been difficult to measure these properties in the erupting CME flux rope, in particular in the pre-existing flux rope. In this work, we propose a model to estimate the toroidal flux of the pre-existing flux rope by subtracting the flux contributed by magnetic reconnection during the eruption from the flux measured in the MC. The flux by the reconnection is derived from geometric properties of two-ribbon flares based on a quasi-2D reconnection model. We then apply the model to four CME/flare events and find that the ratio of toroidal flux in the pre-existing flux rope to that of the…
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