Group Method of Calculating the Perturbations of Minor Planets

Details Group Method of Calculating the Perturbations of Minor Planets Group Method of Calculating the Perturbations of Minor Planets

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..265h&link_type=abstract

Celestial Mechanics, Volume 11, Issue 2, pp.265-274

Physics

1

Scientific paper

An expansion of the disturbing functionR is suggested for the special case when the orbits of a group of minor planets have approximately equal major semi-axesa i .R is presented as a Taylor series in the deviations ofa i from some mean valuea 0. The expansion has an analytical form with respect to α=a 0/a,a being the major semi-axis of the disturbing planet. The poles corresponding to α=1 are taken out of the series, which contributes to the convergence of the expansion. The domain of convergence is given.

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