Expansion of the secular and resonant parts of the disturbing function in the theory of the motion of long-period comets

Details Expansion of the secular and resonant parts of the disturbing function in the theory of the motion of long-period comets Expansion of the secular and resonant parts of the disturbing function in the theory of the motion of long-period comets

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pazh...17..857e&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal (ISSN 0320-0108), vol. 17, Sept. 1991, p. 857-864. In Russian. In Russian.

Astronomy and Astrophysics

Astronomy

2

Comets, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Solar Orbits, Three Body Problem, Distribution Functions, Eccentric Orbits, Secular Variations

Scientific paper

A method for the expansion of the disturbing function in the restricted circular three-body problem for cometary orbits is proposed. A formula is obtained for the development of functions in the elliptic motion as the power series of epsilon = (1 - e)/2, (where e is the eccentricity of the cometary orbit). For long-period comets the convergence region of these series extends to distances where planetary perturbations can be ignored. Formulas and recurrence relations for the calculations of the secular and resonant parts of the perturbation are derived.

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