Constants and calculated parameters

Measure

Used formulas

Results of calculations

Radius of the equatorial band sector with maximum rotation $R_{ez}=R_{{\text{Me}}_{\text{H}}}$

m

4.45 ´ 10⁷

Full core radius (metal core + stone rocks layer), $R_c$

m

1.3 ´ 10⁷

Medium sector radius, with medium rotation velocity of the Me_H layer

m

$R_{mid}=\frac{R_{ez}}{2}+R_c$

3.53 ´ 10⁷

Central angle of visibility of the Jupiter’s equatorial band, $\phi$

deg.

24

Chord of the sector L_S (check Figure 1(а))

m

18.5 ´ 10⁷

Section of the spherical sectoral circle in the angle $\phi$ alignment, S_ez

m²

$S_{ez}=R_{ez}{L}_S\text{sin}\left(\frac{\text{π}}{180}\phi \right)$ (15)

1.67 ´ 10¹⁴

Rotation period of the equatorial band/ rotation period of segments, T₁/Т₂

s

9 h. 50 min. 30 s

/9 h. 55 min. 41 s

35741/35430

Relative velocity of the sector plane with section S_ez, v

m/c

$v=2\text{π}{R}_{mid}\left(\frac{1}{{Т}_2}-\frac{1}{T_1}\right)$

54.4

Electron charge, е

C

1.6 ´ 10⁻¹⁹

Concentration of electrons in the Me_H layer sector, n

m⁻³

$n=\rho \frac{N_A}{A}$ (8)

4.23 ´ 10²²

Electrical charge bulk density, ${\rho }_{ez}$

C/m³

${\rho }_{ez}=en$ (13)

6.77 ´ 10³

Current density, $j_{ez}$

А/m²

$j_{ez}={\rho }_{ez}v$ (12)

3.68 ´ 10⁵

Total current through the sector S_ez section, $I_{ez}$

A

$I_{ez}=j_{ez}{S}_{ez}$ (14)

6.16 ´ 10¹⁹

Equatorial radius of Jupiter, $R_e$

m

7.15 ´ 10⁷

Magnetic induction on the Jupiter’s equator $B_{ez}^e$ (for the sectoral circle)

T

$B_{ez}^e=\frac{{\mu }_{0}en{S}_{ez}}{4\text{π}{\left(R_e-R_{ez}\right)}^2}\text{sin}\alpha$ (16)

3.14 ´ 10⁻²

Thickness of the Me_H layer, involved into heightened rotation with the equatorial band, $d_{ez}$

m

250

Section of the spherical laminar circle ${S^{\prime }}_{ez}$

m²

${S^{\prime }}_{ez}=L_S{d}_{ez}$

4.63 ´ 10⁹

Relative velocity of the plane plate with the section ${S^{\prime }}_{ez}$ , v

m/s

$v=2\text{π}{R}_{{\text{Me}}_{\text{H}}}\left(\frac{1}{{Т}_2}-\frac{1}{T_1}\right)$

887

Current density , ${j^{\prime }}_{ez}$

А/m²

${j^{\prime }}_{ez}=\rho v$ (12)

6.0 ´ 10⁵

Total current through the sector ${S^{\prime }}_{ez}$ section, ${I^{\prime }}_{ez}$

А

${I^{\prime }}_{ez}={j^{\prime }}_{ez}{S^{\prime }}_{ez}$ (14)

2.78 ´ 10¹⁵

Magnetic induction on the Jupiter’s equator $B_d^e$ (for the plate)

T

$B_d^e=\frac{{\mu }_{0}en{S^{\prime }}_{ez}}{4\text{π}{\left(R_e-R_{{\text{Me}}_{\text{H}}}\right)}^2}\text{sin}\alpha$ (17)

1.42 ´ 10⁻⁶