Table 1.

Liouville tracing of the phase-space densities of the crescents in velocity space.

$W_{\mathrm{e}}$ [eV]	$V_{\mathrm{e}}$ [10${}^3$ km s${}^{-1}$]	$d_{\mathrm{e}}$ [km]	$\mathrm{\Delta }{W}_{\mathrm{e}}$ [eV]	$W_{\mathrm{e}}^{\mathrm{Lt}}$ [eV]	$V_{\mathrm{e}}^{\mathrm{Lt}}$ [10${}^3$ km s${}^{-1}$]	$\mathrm{\Delta }{V}_{\mathrm{e}}$ [10${}^3$ km s${}^{-1}$]
93	5.7	2.4	−42	51	4.2	−1.5
122	6.6	2.9	−48	74	5.1	−1.5
161	7.5	3.4	−56	105	6.1	−1.4
212	8.6	4.1	−62	150	7.2	−1.4
279	9.9	4.8	−71	208	8.5	−1.4
367	11.4	5.7	−80	287	10.0	−1.4
481	13.0	6.7	−81	400	11.8	−1.2
631	14.9	7.8	−83	548	13.9	−1.0

$W_{\mathrm{e}}$ and $V_{\mathrm{e}}$ denote the electron energy and kinetic velocity, respectively. $d_{\mathrm{e}}$ is the gyro-diameter (see Fig. 5b). $\mathrm{\Delta }{W}_{\mathrm{e}}$ and $\mathrm{\Delta }{V}_{\mathrm{e}}$ represent the changes of the electron energy and velocity across the gyro-diameter (see Fig. 5d), while the superscript $\mathrm{Lt}$ denotes the Liouville tracing values