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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Ion Thruster Plasma Generators 127 chamber performance. In DC-discharge thrusters, the discharge loss for the plasma generator is given by d = IdVd + IckVck IdVd , (4.3-53) Ib Ib where IB is the beam current, Ick is the current to the cathode keeper electrode (if any), and Vck is the keeper bias voltage. The keeper power is typically negligible in these thrusters, but it is a simple matter to include this small correction. Combining Eqs. (4.3-53) and (4.3-49), the discharge loss is Ip + I* * Vd U + U + (Is +Ik) (2Vd–Vc+2Vp+2) Ib Ib d = I IB Vd –Vc +Vp –2TeV V V++iaV+2T +2 d(p ) (p eV ) Ib (4.3-54) Vd –Vc +Vp –2TeV + + Ib . I V LV–V+V–2T d (d c p eV) Vd –Vc +Vp –2TeV To evaluate the first current fraction in this equation, the ions are produced by both primary electrons and the energetic tail of the Maxwellian distribution of the plasma electrons. The total number of ions produced in the discharge, I p , is given in Eq. (4.3-25), and the total number of excited neutrals produced in the discharge, I , is given in Eq. (4.3-26). Using Eqs. (4.3-25) and (4.3-26) for the particle production and excitation, Eq. (4.3-50) for the beam current, and assuming ni ne , the first current fraction in Eq. (4.3-54) is

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