Convergence of Newton's iteration for the expansion of the planetary disturbing function

Details Convergence of Newton's iteration for the expansion of the planetary disturbing function Convergence of Newton's iteration for the expansion of the planetary disturbing function

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..125p&link_type=abstract

Celestial Mechanics, vol. 15, Feb. 1977, p. 125-129.

Physics

4

Convergence, Disturbing Functions, Iterative Solution, Newton Methods, Orbit Perturbation, Planetary Orbits, Algorithms, Eccentricity, Error Analysis, Newton Theory, Orbit Calculation, Orbital Mechanics, Solar Orbits

Scientific paper

A method is suggested for choosing the first approximation in Newton's
iterations to expand the planetary disturbing function. The method
ensures convergence of the process for any planetary orbits. An estimate
is given for the number of iterations depending on a given accuracy of
calculation.

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