Bound orbits with positive energy

Details Bound orbits with positive energy Bound orbits with positive energy

Jan 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998amjph..66...25w&link_type=abstract

American Journal of Physics, Volume 66, Issue 1, pp. 25-27 (1998).

Physics

2

Educational Aids, Celestial Mechanics, Planetary Rings

Scientific paper

A study of the gravitational interaction of a unit point mass moving external to (r>R) but under the influence of a fixed very thin ring of radius R and mass of M (M>>m) is presented. We consider the case when the motion of the point mass is restricted to the plane of the ring. With this restriction, it is possible to find trajectories for which the system has a positive total energy, and yet the point mass is bound to, and doomed to collide with, the ring. An example of a numerically iterated trajectory is included to support and illustrate this conclusion.

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