The effects of solar EUV line resonance scattering by a population of ions in gyration, bounce, and drift motion in the magnetosphere are formulated and demonstrated numerically with the O+ 834 ¿ line as test example. It is shown that anisotropies of motion induced by the geomagnetic field and source perspective effects caused by 834 ¿ earthshine profoundly affect the morphology and magnitude of the EUV line images, thus enhancing the effects of Doppler shifts on narrow EUV lines. These effects have little impact, though, on relatively wide resonance scattering lines such as the He+ 304 ¿ line. ¿ American Geophysical Union 1993