The structure of a prominence sheet

A one-dimensional analysis of Kippenhahn-Schlüter type is applied to a sheet of prominence material inclined at an angle, to the horizontal. It is found that the magnetic pressure across the prominence no longer has a symmetric profile, but is stronger on the lower side of the sheet. This excess in magnetic pressure is necessary to balance the component of prominence weight in that direction. A matching function is derived and allows for variations along the length of the sheet, enabling the internal prominence solution to be linked onto a given background potential field. In this way a curved prominence sheet in a potential field may be resolved. A smooth profile for the magnetic field and a continuous variation of plasma pressure across the prominence region is then possible. An example is given in which the analysis is applied to a polar-crown prominence configuration of inverse polarity and the basic properties of the prominence are determined.