Analysis of the neighbourhood of triple collisions and of tri-parabolic escapes in the 3-body problem

Details Analysis of the neighbourhood of triple collisions and of tri-parabolic escapes in the 3-body problem Analysis of the neighbourhood of triple collisions and of tri-parabolic escapes in the 3-body problem

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....84....1m&link_type=abstract

Astronomy and Astrophysics, vol. 84, no. 1-2, Apr. 1980, p. 1-6.

Mathematics

7

Body Kinematics, Celestial Mechanics, Three Body Problem, Collisions, Escape, Euler Equations Of Motion, Euler-Lagrange Equation, Transformations (Mathematics)

Scientific paper

The triple collision and the tri-parabolic escape are among the major features of the 3-body problem; a transformation allows to study their vicinity in Euler's case (collinear central configurations) and in Lagrange's case (equilateral triangle central configurations). The neighbouring trajectories are developed to the first order and the dimensionalities of the corresponding manifolds are established. An example is presented.

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