The convergence domain of the Laplacian expansion of the disturbing function

Details The convergence domain of the Laplacian expansion of the disturbing function The convergence domain of the Laplacian expansion of the disturbing function

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..58...37f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 58, no. 1, p. 37-52

Mathematics

32

Convergence, Divergence, Eccentric Orbits, Eccentricity, Laplace Transformation, Orbit Calculation, Planetary Orbits, Series Expansion, Analytic Functions, Computer Techniques, Kepler Laws, Singularity (Mathematics)

Scientific paper

A computer-assisted reformulation of Sundman's determination of the
domain of absolute convergence of the Laplacian expansion of the
disturbing function is given. Sundman's results are extended to the
cases of librating perihelions and a covergence criterion is established
for the case of mutually inclined orbits.

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