Electron beam trajectory in a photometer field of view

Theoretical calculations on the trajectory of an electron beam of kilovolt energy range in an ionospheric environment have been performed. By means of a succession of orthogonal transformations, the trajectory and luminosity as observed at a photometer with a given angular field of view are obtained. For the purpose of applications on rocket beam experiments, cases of various magnetic field orientations and beam energies have been examined. Singularities of luminosity exist in this model when the magnetic field is perpendicular to the electron velocity resulting in a non-propagation mode.