# Investigation of pre-flare dynamics using the weighted horizontal magnetic gradient method: From small to major flare classes

## TL;DR

This study extends the analysis of pre-flare magnetic activity in delta-spot regions to include medium and low-energy flares, revealing relationships between magnetic gradients, barycenter movements, and flare intensity, aiding in flare prediction.

## Contribution

It introduces an extended analysis of the weighted horizontal magnetic gradient method, encompassing a broader range of flare energies and establishing new geometric and temporal correlations.

## Key findings

- Logarithmic relationship between flare class and magnetic gradient.
- Convergence-divergence phase trend in barycenter movements.
- Linear correlation between phase duration and flare occurrence.

## Abstract

There is a wide range of eruptions in the solar atmosphere which contribute to space weather, including the major explosions of radiation known as flares. To examine pre-event behavior in delta-spot regions, we use here a method based on the weighted horizontal gradient of magnetic field (WG_M), defined between opposite polarity umbrae at the polarity inversion line of active regions (ARs) as measured using from the Debrecen Heliophysical Observatory catalogues. In this work, we extend the previous analysis of high-energy flares to include both medium (M) and low-energy (C and B) flares. First, we found a logarithmic relationship between the log value of highest flare class intensity (from B- to X-class) in a $\delta$-spot AR and the maximum value of WG_M of the 127 ARs investigated. We confirm a trend in the convergence-divergence phase of the barycenters of opposite polarities in the vicinity of the polarity inversion line. The extended sample (i) affirms the linear connection between the durations of the convergence-divergence phases of barycenters of opposite polarities in delta-spot regions up to flare occurrence and (ii) provides a geometric constraint for the location of flare emission around the polarity inversion line. The method provides a tool to possibly estimate the likelihood of a subsequent flare of the same or larger energy.