We discuss the experimental and theoretical aspects of absorption spec
troscopy of cold atomic hydrogen gas in a magnetostatic trap using a p
ulsed narrow-band source (bandwidth almost-equal-to 100 MHz) at the Ly
man-alpha wavelength (121.6 nm). A careful analysis of the measured ab
sorption spectra enables us to determine non-destructively the tempera
ture and the density of the trapped gas. The development of this diagn
ostic technique is important for future attempts to reach Bose-Einstei
n condensation in trapped atomic hydrogen.