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This paper presents a three-dimensional (3-D) simulation of a triode-type magnetron injection gun (MIG) for a 42-GHz 200-kW gyrotron with a transverse-to-axial velocity ratio of the electron beam at 1.22 and a maximum transverse-velocity spread of 3.2%. The operating mode of the gyrotron is TE_03, and it is operated in the fundamental harmonic. The MIG has been designed by using some tradeoff equations and the 3-D particle-tracing code (computer simulation technology). The simulated results have been validated with the results obtained using the 3-D code OPERA Vector Fields and the two-dimensional trajectory codes EGUN and TRAK.