## 3 Results
#### 3.1.2 Case Study in the Year 2003  
The deepest, most recent high-energy electron radiation belt (around L\(\sim\)1.5) was detected after a giant magnetic storm at the end of October (beginning of November 2003 (Halloween storm), when the Dst-index reached up to -400 nT [37]. At this time, the Solar Anomalous and Magnetospheric Particle Explorer (SAMPEX) detected multi-MeV electron transport from the outer zone of the radiation belt through the slot region into the inner magnetosphere up to L\(\sim\)1.5 [39; 40]. Figure 5 shows the distribution of the flux intensity of relativistic electrons with energies of 2-6 MeV, according to the SAMPEX satellite data from [40] (fragment of their Figure 1). It is seen from Figure 5 that the precipitation of high energy electrons from the outer radiation belt (which has a maximum around L\(\sim\)4.0) started on 31 October (304 days from the beginning of the year 2003) and lasted for about 30 days (during the entirety of November 2003). In this time interval, the relativistic electrons strongly filled the geomagnetic field lines L\(\sim\)2.0-2.5, as shown in Figure 5. Usually, this range of field lines is purely filled by charged particles, provided it belongs to a slot region (L\(\sim\)2.0-3.0, Figure 1). In analogy with the previous cases, which were presented in Figure 2, one may expect an increase in seismic activity in the regions located near the footprint of magnetic lines L\(\sim\)2.0-2.5 some weeks after the onset of the magnetic storm on 31 October 2023, and this does indeed occur. Hence, Figure 6 presents monthly earthquakes of magnitude M \(\geq\) 4.5 that occurred in January-December of 2003 near the footprints of L = 2.0-2.5. It is seen that for the base of L = 2.0-2.5, the number of earthquakes strongly increased in November 2003; the largest here was an earthquake with M = 7.8, which occurred at the Rat Islands, Aleutian Islands, Alaska, on 17 November 2003, with coordinates 51.146\({}^{\circ}\)N, 178.650\({}^{\circ}\)E near the footprint of L\(\sim\)2.1. This earthquake happened \(\sim\)17 days (over 2 weeks) after the geomagnetic storm onset on 31 October 2003. The SAMPEX instruments detected a newly formed belt of relativistic electrons in the inner magnetosphere around L\(\sim\)1.5 for \(\sim\)26 months (from November 2003 to December 2005 [39; 40]). It is reasonable to compare the amount of global seismic energy released before and after this 26-month interval. To do this, we used the USGS Seismological Catalog for representative magnitudes M \(\geq\) 4.5 ([[https://earthquake.usgs.gov/earthquakes/search](https://earthquake.usgs.gov/earthquakes/search)]([https://earthquake.usgs.gov/earthquakes/search](https://earthquake.usgs.gov/earthquakes/search)), accessed on 25 October 2018) from July 1999 to April 2010 (65,684 earthquakes). For each of the events, the released seismic energy was estimated using the Gutenberg and Richter relation [47] (E\({}_{\rm s}\) = 10\({}^{\rm(11.8+1.5M)}\), where \(M\) is the magnitude, and the \(E\)s value is in ergs. Then, the sum of Es in each of the five 26-month intervals was estimated. The intervals were July 1999-August 2001 (10,427 events), September 2001-October 2003 (10,709 events), November 2003-December 2005 (15,106 events), January 2006-February 2008 (15,233 events), and March 2008-April 2010 (14,209 events). In Figure 7, the released seismic energy is given in Joules. It is seen in the 26-months bin  
Figure 5: Distribution on geomagnetic lines in 2003–2005 the flux intensity of relativistic electrons with energies of 2–6 MeV according to the SAMPEX satellite data adapted from Ref. [40] (fragment of their Figure 1). (November 2003-December 2005) (when a belt of relativistic electrons was present in the inner magnetosphere due to the giant storm of 31 October 2003) that the released seismic energy peaked strongly (\(\sim\)3.7 \(\times\) 10\({}^{18}\) Joule) according to results in the 26-month intervals before and after. According to statistics, one earthquake with a magnitude of M8 or more occurs annually.