Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pazh...11..924e&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 11, Dec. 1985, p. 924-929) Soviet Astronomy Letters (ISSN 0360-0327), vol. 11, Nov.-Dec
Astronomy and Astrophysics
Astronomy
Comets, Jupiter (Planet), Librational Motion, Orbit Perturbation, Planetary Orbits, Resonance, Equations Of Motion, Orbital Mechanics, Solar Orbits, Three Body Problem
Scientific paper
The perturbation of the orbital motion of six short-period comets by Jupiter is investigated analytically, integrating the equations of motion and applying a simplified model based on the restricted three-dimensional elliptical three-body problem (for the sun, Jupiter, and the comet). The data and results are presented in a table and a graph and characterized, and the long-term evolution of the comets' motion is considered. The mean daily motions of comets du Toit 1974 IV, Tempel-Tuttle 1965 IV, Olbers 1956 IV, Pons-Brooks 1954 VII, and Brorsen-Metcalf 1919 III are shown to be in 5:4, 14:5, 6:1, 6:1, and 6:1 resonance with Jupiter, respectively. It is found that the libration of comet Neujmin 1 (1984e) began in the year 10 38 and should persist for several millennia, as predicted by Marsden (1970).
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