Title: CORONAL MASS EJECTIONS: THEORY AND MODELING Ilia Roussev University of Michigan Abstract: Coronal mass ejections (CMEs), and the solar energetic particle events associated with them, constitute one of the major hazards for spacecraft in the inner solar system. Particularly important in this regard are the high-energy ($> 100$~MeV) protons, which can appear within as short a span of time as 20 minutes after the onset of the solar eruption. CMEs and solar flares are now recognized to be different manifestations of a single physical process, which involves a major disruption of coronal magnetic fields. Any model attempting to explain solar eruptions has to account for two basic properties of eruptive processes: fundamental cause of the eruption itself; and nature of morphological features that form and develop in the eruptive process. Recent theories suggest that a catastrophic loss of mechanical equilibrium in coronal magnetic fields constitutes a fairly promising mechanism for triggering solar eruptions. One of the principle aims of our research is the development of numerical models which account for the onset and evolution of coronal mass ejections. Once perfected, such models should lead to significant improvements in our ability to forecast solar eruptions before they start. By constructing a fully three-dimensional numerical model, which incorporates solar magnetic field data and a loss-of-equilibrium mechanism, we have been able to model a realistic CME event, and determine that a shock wave can develop close to the Sun sufficiently strong to account for the energization of solar protons up to kinetic energies of 2~GeV. > >