Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978azh....55..138s&link_type=abstract
Astronomicheskii Zhurnal, vol. 55, no. 1, 1978, p. 138-147. In Russian.
Astronomy and Astrophysics
Astronomy
Astrometry, Error Correcting Devices, Phase Error, Planet Ephemerides, Astronomical Coordinates, Correlation, Least Squares Method, Mercury (Planet), Orbital Elements, Perturbation Theory, Venus (Planet)
Scientific paper
Several methods of eliminating phase errors in position observations of planets are analyzed. The criterion for the validity of any formula for eliminating the phase error is the removal of the jump in the difference between the observation and the ephemeris (O - C) upon transition from eastern elongation to western. Observations of Venus and Mercury over the period 1941-1948 were analyzed in order to search for a connection between changes in O - C with synodic period. This dependence is found to be due not only to the neglected phase influence, but also to errors in the reference catalog and the motions of the earth and the planets. It is shown that strong correlations between the unknowns do not permit finding the real values of the phase errors by the method of least squares. Solving the correlation matrix equations by the method of false perturbations yields an estimate of the parameters to sufficient accuracy.
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