The Rectilinear Restricted Problem of Three Bodies

Details The Rectilinear Restricted Problem of Three Bodies The Rectilinear Restricted Problem of Three Bodies

Sep 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cemec...8..189w&link_type=abstract

Celestial Mechanics, Volume 8, Issue 2, pp.189-198

Physics

4

Scientific paper

In this paper we discuss some aspects of the isosceles case of the rectilinear restricted problem of three bodies, where two primaries of equal mass move on rectilinear ellipses, and the particle is confined to the symmetry axis of the system. In particular, the behaviour near a collision of the primaries and also near a collision of all three bodies is investigated. It is shown that this latter singularity is a triple collision in the sense of Siegel's theory. Furthermore, asymptotic expansions for the particle's motion during a parabolic and a hyperbolic escape are derived.

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