On the dynamical instability in the restricted rectilinear three-body problem

Details On the dynamical instability in the restricted rectilinear three-body problem On the dynamical instability in the restricted rectilinear three-body problem

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995azh....72..951d&link_type=abstract

Astronomicheskij Zhurnal, vol. 72, p. 951

Astronomy and Astrophysics

Astronomy

2

Three Body Problem, Dynamic Stability, Mass Distribution, Numerical Integration, Local Group (Astronomy), Galaxies, Trajectory Analysis, Boundary Conditions, Chaos

Scientific paper

The properties of trajectories of infinitesimal mass are considered in the rectilinear three-body problem. Extensive calculations of such trajectories are performed by numerical integration. The domain of increased sensitivity to initial conditions is obtained that determines the dynamical instability and the possibility of developing chaos in the system. The problem studied simulates, in accordance with the chosen initial conditions, the motion of clouds in the Local Group of galaxies.

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