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This paper dealt with the problem of computing an initial set of orbital parameters for asteroids from observations of their relative positions on the celestial sphere. A method based on the two-body integrals was computationally implemented in a geocentric and a topocentric version. This method was applied to five MBA asteroids and five NEO asteroids. The results and errors obtained for both versions of the algorithm were analyzed. The results showed that for both asteroid families, generally the most precise version of the algorithm was the topocentric version. The topocentric correction appears to be better suited for estimating orbit parameters for NEO asteroids in our sample, as, in average, the difference between the geocentric and topocentric errors almost doubled the differences for the MBA asteroids. This means that for these objects the version of the algorithm used should be the topocentric version due to the difficulty of tracking these objects if the uncertainties are high. © 2016. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.References
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