“…We perform a simplified estimate: we fit the boundary of the isotropic precipitation (both the classical isotropy boundary and the equatorward dispersed pattern) to a function that depends on latitude, so we have E iso ( MLAT ). Then we use the typical equation for conditions of curvature scattering, R c / ρ = 8 (Sergeev & Tsyganenko, 1982), to determine the equatorial B z ( MLAT ) profile for a constant equatorial current density of 10 nA/m 2 (this is a large current density for the ring current ions, but still within the range of observations (see; C. Shen et al., 2014; Tan et al., 2022; Vallat et al., 2005; Yang et al., 2016) and model estimates (see Kubyshkina et al., 2009, 2011; Sergeev et al., 2023; Stephens et al., 2016)). The same B z ( MLAT ) profile is evaluated from the ion isotropy boundary.…”