Soft Proton Environment Modeling for SMILE Using XGBoost and Solar Cycle–Informed Synthetic Data Sets

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Authors: Simon Patrick Mischel, E. A. Kronberg, C. Philippe Escoubet
Cited by: 1
References: 45

Abstract

Abstract Soft proton contamination presents a persistent threat to the performance of space‐based X‐ray observatories such as ESA's upcoming Solar‐wind Magnetosphere Ionosphere Link Explorer (SMILE). This study develops a machine‐learning framework for modeling soft proton fluxes in the 92.2–159.7 keV range, tailored to SMILE's elliptical, highly inclined orbit. Using past data from ESA's Cluster mission and a solar‐cycle‐based extrapolation scheme derived from Solar Cycle 23, we simulate the average space weather conditions SMILE is likely to encounter during its first 3 years of operation. The proposed model leverages XGBoost, a nonlinear ensemble learning algorithm, and introduces a rotating quarterly train–test split strategy to overcome distributional mismatches present in earlier models. This new approach improves generalization and substantially reduces underprediction bias during periods of elevated proton flux, achieving a test set of 0.45 and reducing bias from −0.30 to −0.10 log(1/c/s/sr/keV). Analysis of the spatial distribution of the models' predicted proton flux for the SMILE mission shows good agreement with known magnetospheric structures, including lobe/cusp regions and solar‐cycle‐dependent enhancements. The results of this study provide a data‐driven estimate of the ambient soft proton environment along the SMILE orbit.

Fields of Study & Subjects

Ionosphere and magnetosphere dynamics Earthquake Detection and Analysis Solar and Space Plasma Dynamics

Publication details

Journal / source
Space Weather
Publisher
American Geophysical Union (AGU)
Volume
24
Issue
7
Publication date
1 July 2026
Language
EN