Studying new problems in stellar coronal physics with AXAF and XMM

The scientific instruments on AXAF and XMM will provide far higher angular and spectral resolution than the previous generation of X-ray satellites: E instein, Exosat, ROSAT, and ASCA. in the next few years astronomers will be able for the first time to analyze X-ray spectra of stellar coronae with a resolution of E/Delta E approximate to 1,000 or greater. We summarize here the capabilities of the AXAF and XMM instruments, and identify some of the new coronal physics that these instruments will soon allow us to study.