The rectilinear three-body problem using symbol sequence I. Role of triple collision

Details The rectilinear three-body problem using symbol sequence I. Role of triple collision The rectilinear three-body problem using symbol sequence I. Role of triple collision

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cemda..98...95s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 98, Issue 2, pp.95-120

Astronomy and Astrophysics

Astronomy

5

Three-Body Problem, Symbolic Dynamics, Structure On A Poincar&Eacute, Section

Scientific paper

The dynamical structure of phase space of gravitational Newtonian three bodies which lie on a line (rectilinear three-body system) is studied. We take an initial value plane and classify the points on the plane according to the fate of the orbits starting from the points, using symbol sequences. The structure appearing on the initial value plane with this classification was well studied for the equal-mass case (Tanikawa and Mikkola 2000, Chaos 10, 649 657). In this paper, we follow and clarify the changes of this structure with the mass ratio of three particles.

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