AN ALGORITHM FOR THE IMPROVEMENT OF ASTEROIDS ORBITS THROUGH PHOTOGRAFIC OBSERVATIONS

Giorgio Eugenio Oscare Giacaglia, Claus Osterwinter

Abstract


The algorithm described herein is designed for the correction of asteroid orbits, through the use of photographic observations and processing of complex formulae. In composing this set of formulae, an attempt was made to achieve some simplicity in logic as well minimum assumptions and restriction. Consequently, aberration is circumvented altogether, and parallax is taken care of through the use of rigorous topocentric coordinates. In addition, the “rigorous” equations for precession were employed. The one assumption being made here is that of linearity of the changes in the observed place of the asteroid with respect to changes in the initial conditions. Justification of this assumption is usually assured by judicious operation in the computer program. The truncated nature of the integration formulae is no restriction; they can always be made compatible with the most accurate of observations.

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References


Brower , D. and Clemence, G.M., 1961, Celestial Mechanics, Chapter VI

Planetary Coordinates for the Years 1960 – 1980, 1958

Astronomical Ephemeris, 1961 U.S. Naval Observatory. Washington D.C.

Bower, E.C., 1932, Bull. Lick Obs. No. 445

Danby. J.M.A. , 1962, Astron. J. 67, 287


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ISSN 2179-7625 (online)

DOI registration: 10.32426/engres.

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Logomarca da Lepidus Tecnologia