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Given a starting latitude, longitude and altitude, and a line of sight defined by azimuth and elevation, I want to find the latitude and longitude (assuming spherical Earth, WGS84 or other) where the line of sight pierces a given altitude.

Background:

I have a set of data points from an all-sky camera (i.e. a wide-angle lens pointing at the sky). The data show auroral emissions. I have elevation and azimuth for each pixel (each array element), and I know the coordinates (latitude, longitude, altitude) of the camera. Based on the assumption that the auroral emissions are coming from a given altitude above ground (e.g. 150 km), I want to show the data on a map.

I aim to implement the calculation in Python (using numpy), and would like an efficient way of doing this (i.e. preferably not element-by-element), since the data arrays contain upwards of 200k pixels. The distance between pixels are on the order of a few km, which should give an idea of the precision needed.

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