Cyclotron lines - The next 100 years

The relationship between cyclotron lines and other spectral features of stars requires a numerical construction of theoretical spectra and numerical comparison of simulated and actual data. These techniques - combined with supercomputer technology - can enhance the study of X-ray and gamma-ray sources. The present understanding of the behavior of the rays is set forth, and the application of data from cyclotron line formation is suggested to examine accreting X-ray sources and gamma-ray bursts in neutron stars.