Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56.1077p&link_type=abstract
Astronomicheskii Zhurnal, vol. 56, Sept.-Oct. 1979, p. 1077-1082. In Russian.
Astronomy and Astrophysics
Astronomy
2
Astronomical Coordinates, Celestial Mechanics, Orbit Perturbation, Planetary Orbits, Convergence, Eccentricity, Kepler Laws, Transcendental Functions
Scientific paper
The convergence region of perturbation function expansion is investigated for the case when the perturbing body coordinates are expressed through the eccentric anomaly of the perturbed body. A method of studying singular points is applied to the solution of the Kepler equation. A transcendental equation for the distance of the singular points from the real axis is obtained. The solution of this equation defines the convergence radius. Compact formulas are derived for the coefficients of the series expansions of the eccentric anomaly, using the anomaly as the independent variable.
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