Abstract

The effect of atmospheric drag on spacecraft dynamics is considered one of the predominant sources of uncertainty in Low Earth Orbit. These effects are characterised in part by the atmospheric density, a quantity highly correlated to space weather. Current atmosphere models typically account for this through proxy indices such as the F10.7, but with variations in solar radio flux forecasts leading to significant orbit differences over just a few days, prediction of these quantities is a limiting factor in the accurate estimation of future drag conditions, and consequently orbital prediction. In this work, a novel deep residual architecture for univariate time series forecasting, N-BEATS, is employed for the prediction of the F10.7 solar proxy on the days-ahead timescales relevant to space operations. This untailored, pure deep learning approach has recently achieved state-of-the-art performance in time series forecasting competitions, outperforming well-established statistical, as well as statistical hybrid models, across a range of domains. The approach was found to be effective in single point forecasting up to 27-days ahead, and was additionally extended to produce forecast uncertainty estimates using deep ensembles. These forecasts were then compared to a persistence baseline and two operationally available forecasts: one statistical (provided by BGS, ESA), and one multi-flux neural network (by CLS, CNES). It was found that the N-BEATS model systematically outperformed the baseline and statistical approaches, and achieved an improved or similar performance to the multi-flux neural network approach despite only learning from a single variable.

Highlights

  • The dynamics of space objects orbiting in Low Earth Orbit (LEO) strongly depend on the characterisation of the uncertainties on the initial state, physical properties of the objects themselves and properties of the atmosphere, the density

  • This paper presents the use of the novel N-BEATS deep residual neural network for the daily prediction of the F10.7 solar proxy

  • This pure deep learning approach, which has provided a significant advancement in the field of time series forecasting within the last year, was found to be effective in this task up to a forecast horizon of 27days, without the need for any specific expert knowledge of the data or feature engineering

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Summary

Introduction

The dynamics of space objects orbiting in Low Earth Orbit (LEO) strongly depend on the characterisation of the uncertainties on the initial state, physical properties of the objects themselves (such as mass and shape) and properties of the atmosphere, the density. Given the promising performance of this state-of-the-art architecture across a range of domains, in this work we apply N-BEATS to the daily prediction of the F10.7 solar proxy and examine its feasibility over forecast horizons relevant to space operations, from 3 days for activities such as collision avoidance, up to 27 days for activities such as re-entry campaigns.

Backgrounds on time series forecasting
Model architecture
Data and model inputs
Model training and evaluation
Ensemble forecasting and uncertainty quantification
Forecast model descriptions
Comparison with operationally available forecasts
Comparison of single point forecasting
Comparison of uncertainty estimation
Findings
Conclusions and future work

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