Mathematics – Dynamical Systems
Scientific paper
Jan 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996kpcb...12...21d&link_type=abstract
Kinematics and Physics of Celestial Bodies, vol. 12, p. 21
Mathematics
Dynamical Systems
Asteroids, Correction, Orbital Elements, Celestial Reference Systems, Dynamical Systems, Ceres Asteroid, Vesta Asteroid, Correlation
Scientific paper
Washington (1949-1977) and Greenwich (1957-1982 ) meridian observations of Ceres, Pallas, Juno, and Vesta have been used to obtain the estimates for the corrections to the orbital elements of these asteroids and the Earth as well as to the FK5 zero-points. The structure of correlations between the unknowns in the equations for the relationship between the fundamental and dynamical reference frames has been analysed to reveal the causes of disagreement between the corrections to the zero-points obtained from observations of different asteroids. We show that the correlations between similar corrections depend on the orientation of the orbit of a planet in space. Close correlations between unknowns give rise to different bias of the estimates for corrections to the orbital elements and the catalogue zero-points. We infer that the zero-points of dynamical reference frames specified by observations of different minor planets are in bad agreement.
Duma D. P.
Svachij L. M.
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