An iterative method for calculating the altitudes and positions of auroras along the arc

Physics

Scientific paper

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Auroral Arcs, Iterative Solution, Altitude, Errors, Photography, Position (Location)

Scientific paper

A method for three-dimensional calculation of discrete auroral forms has been developed. The auroral altitudes and positions can be calculated along the discrete auroral form using two or more all-sky camera pictures. The calculations will be made iteratively and thus no corresponding points are needed. The accuracy of the determination of the altitude and position is optimally + or - 1 km. The only assumption in this method is the thin sheet approximation, i. e. the auroral forms are thin sheets of luminosity with negligible thickness. Four discrete arcs have been chosen as examples. From these the altitudes and positions were calculated using six camera pairs from four different all-sky stations in northern Finland. In two of the cases there was also a second arc far in the north. The calculations were also made for these arcs, but using only two stations. The calculated altitudes were 94-112 km and three of the arcs had constant altitude within + or - 2 km. One arc was clearly inclined and the two arcs far in the north were very probably also inclined.

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