New applications of Fatou's problem

Details New applications of Fatou's problem New applications of Fatou's problem

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991avest..25..593r&link_type=abstract

Astronomicheskii Vestnik (ISSN 0320-930X), vol. 25, Sept.-Oct. 1991, p. 593-598. In Russian.

Astronomy and Astrophysics

Astronomy

Asteroids, Celestial Mechanics, Gravitational Fields, Mercury (Planet), Planetary Mass, Solar System, Oort Cloud, Orbital Mechanics, Perihelions, Solar Orbits

Scientific paper

The motion of a small body in the gravitational field of a massive body and a number of massive homogeneous coplanar circles (the ring of asteroids and planets with uniformly distributed masses) is investigated. It is shown that all parabolic comets are isolated from Oort's cloud: they travel inside a closed zero-radial-velocity surface with a radius of the order of 5000 AU. The effect of the asteroidal ring on the motion of Mercury's perihelion is investigated.

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