Bounded motion in a generalized two-body problem

Details Bounded motion in a generalized two-body problem Bounded motion in a generalized two-body problem

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.117..217m&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 117, no. 2, Dec. 1985, p. 217-225.

Astronomy and Astrophysics

Astrophysics

5

Celestial Mechanics, Particle Motion, Two Body Problem, Angular Momentum, Equations Of Motion

Scientific paper

In this paper the existence of ring-type bounded motion in an isolated system consisting of a massive point particle and a homogeneous cube is proved. The case of planar motion where the particle moves in a symmetry plane of the cube is studied, using a rotating frame of reference with its center at the mass center of the cube and its axes coinciding with the symmetry axes of the cube. It is shown that, for negative values of the total energy and properly chosen values of the total angular momentum,the relative distance of the bodies has an upper and a lower bound - i.e.,the regions of possible motion lie inside an annulus around the cube (motion inside a ring or an island).

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