A method for the study of the error propagation in the determination of orbits

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asteroids, Comets, Error Analysis, Orbit Calculation, Graphs (Charts), Image Enhancement, Orbital Position Estimation, Photographic Plates, Statistical Analysis

Scientific paper

A method is presented for the study of the error propagation in the determination and improvement of orbits of minor planets and comets. The procedure is illustrated with an example relative to the method of Gauss-Encke applied to the determination of the orbit of a minor planet. General conclusions can be drawn about the adoption of selective criteria for the elimination of erroneous observations. It is in particular stressed the critical role played by the three fundamental observations in the Gauss-Encke method, and it is shown that general statistical methods for the elimination of the erroneous observations tend to exclude more observations than necessary. The lines for future research are also indicated, which should provide a better understanding of the problems associated with orbit determination and improvement.

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