Asteroid long-periodic perturbations - Derivation of proper elements and assessment of their accuracy

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Long Term Effects, Orbit Perturbation, Hamiltonian Functions, Perihelions, Asteroids, Perturbations, Orbital Elements, Astronomy, Techniques, Eos, Hirayama Family, Flora, Koronis, Themis, Eccentricity, Comparisons, Theoretical Studies, Celestial Mechanics, Calculations, Analysis, Data, Catalog, Inclination, Orbits

Scientific paper

The problem of calculating the proper elements of asteroids for the purpose of family identification is examined analytically. The derivation of the Lie-series theoretical model of Yuasa (1973) is reviewed; the selection of a coordinate system and of data for the motion of the major planets is explained; and an indirect technique for estimating the accuracy of the elements calculated is described. Results for 158 Koronis, 221 Eos, 24 Themis, and 8 Flora are presented in extensive tables and graphs and discussed in detail. While the elements for Flora are found to be inaccurate, calling into question the membership or even the reality of its family of asteroids, those for Koronis, Eos, and Themis are more accurate than those previously available, although not yet at the 0.001 level required for reliable family classification.

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