Motion near total collapse in the planar isosceles three-body problem

Details Motion near total collapse in the planar isosceles three-body problem Motion near total collapse in the planar isosceles three-body problem

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..28...25d&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 7th, Oberwolfach, West Germany, Aug. 24-28, 1981.) Celestial Mechani

Mathematics

3

Celestial Mechanics, Manifolds (Mathematics), Singularity (Mathematics), Three Body Problem, Euler-Lagrange Equation, Mass Ratios

Scientific paper

The qualitative behavior of solutions of the planar isosceles problem
coming close to triple collision are described. The McGehee (1974)
method is used to describe a triple collision neighborhood which holds
for any mass ratios. Infinitely many distinct periodic and
collision/ejection solutions of this problem are exhibited.

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