Bounded orbits in the elliptic restricted three-body problem.

Details Bounded orbits in the elliptic restricted three-body problem. Bounded orbits in the elliptic restricted three-body problem.

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..399k&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 399-408

Computer Science

Three-Body Problem:Restricted

Scientific paper

Special solutions of the planar rectilinear elliptic restricted 3-body problem are investigated for the limiting case e=1. Numerical integration is performed for primaries of equal masses. Starting values which define circular orbit solutions lead to bounded solutions if the initial radius a0 is larger than 3.74 in units of the primaries' semimajor axis a. A comparison with the Eulerian two-fixedcentre problem is presented in order to understand qualitatively the characteristic features of bounded orbits and the transition to escape orbits.

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