- #1

solarblast

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One method I've recently considered but do not know much about it is to treat the meteor as an Earth satellite in a circular orbit. Once a great circle plane is found, then one could produce a ground track by projecting the segment of the track on the ground. A rough idea of the atmospheric trajectory could probably fitting the observational data projected on to the plane to a simple polynomial to it. Comments

Two methods similar in approach are available from Ceplecha. Google: ceplecha atmospheric trajectory of a meteoroid, for the first. He assumes no errors in the observations and constructs two planes. One through each ground station and the start and end points of the meteor. The intersection of the two planes contains the great circle plane of the meteor. From there, he is able to find the ground track using a variety of plane and coordinate calculations.

His other paper on this is much more comprehensive and rigorous. He assumes observation errors and extends the the number of stations beyond two. He is also able to compute the ground track, atmospheric trajectory, impact point (if meaningful), and orbit. He employs LSQ (least squares throughout). Sections 5 and 6 get into the plane intersection projections and trajectory methods, which are a bit more sticky than the other paper.

See <http://adsabs.harvard.edu/full/1987BAICz..38..222C>

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