A Theoretical Thrust Density Limit for Hall Thrusters

TL;DR

This paper derives theoretical limits on the thrust density of Hall thrusters, analyzing how geometry, electron mobility, and magnetic fields influence these limits and comparing them with experimental data.

Contribution

It introduces a theoretical framework for understanding the maximum achievable thrust density in Hall thrusters based on physical parameters.

Findings

Thrust density limits depend on thruster geometry, electron mobility, and magnetic field.

Experimental data aligns with the theoretical limits.

Most operational thrusters operate below the theoretical maximum thrust density.

Abstract

Hall Thrusters typically operate at thrust densities on the order of 10 N/m2, which is well below the thrust density limits discussed in previous literature. These limits have been considered here and each component of thrust density is analyzed to demonstrate the relative contribution to the total thrust density. Dependencies of the thrust density limits upon the thruster geometry, electron mobility, and the applied magnetic field are revealed and compared with experimental data.