“…In particular, kappa distributions are widely used for fitting the particle fluxes in the magnetosphere of the Earth [Christon et al, 1991;Pisarenko et al, 2002;Wang et al, 2011;Lui, 2013, etc]. It allows one to efficiently describe a variety of magnetospheric processes, such as the field-aligned acceleration of auroral particles [Olsson and Janhunen, 1998;Dors and Kletzing, 1999;Ermakova and Antonova, 2007;Antonova et al, 2012], and the transverse acceleration of ions during substorm injections [Birn et al, 1997 [2006] showed that the use of a kappa formalism improves the correspondence between the theory of the formation of multiple inverted V structures in the auroral oval and its experimental verification. Using kappa distributions, Wing and Newell [1998] and Wing et al [2013] obtained more realistic values of the plasma pressure despite the limited energy range of the particle flux measurements made by an electrostatic analyzer on board low-orbiting DMSP satellites, etc.…”