Two notes on the Copenhagen problem

Details Two notes on the Copenhagen problem Two notes on the Copenhagen problem

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..251d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 251-260.

Mathematics

Dynamical Systems

2

Asymptotic Properties, Celestial Mechanics, Orbit Calculation, Three Body Problem, Double Precision Arithmetic, Lagrangian Equilibrium Points, Mapping

Scientific paper

The Poincare(1957) 'method of consequences' is used to compute asymptotic branches from the unstable equilibrium L4 in the Copenhagen Problem, which involves three bodies of equal mass. The Poincaremapping in this problem is not continuous, due to the looping exhibited by the orbits, and the structure of the branches is more complex than that for simpler dynamical systems whose calculation has been undertaken in recent publications.

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