Fundamentals of Electric Propulsion: Ion and Hall Thrusters

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Fundamentals of Electric Propulsion: Ion and Hall Thrusters ( fundamentals-electric-propulsion-ion-and-hall-thrusters )

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Hall Thrusters 331 re=vth=m 8kTe=1 8mTeV< > 1 , ( 7 . 2 - 2 ) 2 where is the total collision frequency. The effect of this criterion is clear in the expression for the transverse electron mobility in Eq. (3.6-66), where a large value for the Hall parameter significantly reduces the cross-field electron mobility. In a similar manner, the ion Larmor radius must be much greater than the characteristic channel length so that the ions can be accelerated out of the channel by the applied electric field: ri=vi=M 2eVb=1 2MVb>>L, (7.2-3) c eB M B e where the ion energy is approximated as the beam energy. The ion Larmor radius, for example, in the 150-G radial field and at 300 eV of energy is about 180 cm, which is much larger than the channel or plasma dimensions. These equations provide a general range for the transverse magnetic field in the thruster channel. Even if the radial magnetic field strength doubles or ion energy is half of the example given, the criteria in Eqs. (7.2-1) and (7.2-3) are still easily satisfied. As mentioned above, the magnetic and electric field profiles are important in the thruster performance and life. The radial magnetic field typically is a maximum near the thruster exit plane, as shown in Fig. 7-4, and it is designed to fall near zero at the anode in dielectric-wall Hall thrusters [12]. Electrons from the cathode experience joule heating in the region of maximum transverse magnetic field, providing a higher localized electron temperature and ionization rate. The reduced electron mobility and high electron temperature in the strong

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