Mathematics
Scientific paper
Mar 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983natur.302..399b&link_type=abstract
Nature (ISSN 0028-0836), vol. 302, March 31, 1983, p. 399, 400. Research supported by the Science and Engineering Research Counc
Mathematics
21
Celestial Mechanics, Comets, Neptune (Planet), Orbit Calculation, Orbit Perturbation, Solar Orbits, Mass Ratios, Oort Cloud, Orbital Elements, Planetary Evolution, Planetary Mass, Solar System, Density, Planets, Calculations, Mathematical Models, Celestial Mechanics, Comets, Planet X, Neptune, Orbits, Oort Cloud, Mass, Perturbations
Scientific paper
It is proposed that a dense inner core for the Oort cometary cloud could provide the unmodelled force which perturbs the outer planets. On general grounds, it is expected that the primordial comets would have a flat enough distribution close to the planetary system to prevent the gravitational attraction within the shell from vanishing. Thus, a symmetrical shell of comets could affect the planets. It is assumed that the isodensity surfaces are oblate spheroids, and the forces parallel and perpendicular to the equatorial plane of the spheroids are calculated, as well as the acceleration perpendicular to the orbital plane caused by the gravitational attraction of the comet shell. A constant is obtained which can be estimated directly from an analysis of the residuals in the planet's geocentric orbital latitude.
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