Symmetric doubly-asymptotic periodic orbits at collinear equilibria

Details Symmetric doubly-asymptotic periodic orbits at collinear equilibria Symmetric doubly-asymptotic periodic orbits at collinear equilibria

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.166..129p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 166, no. 1, April 1990, p. 129-149.

Statistics

Computation

4

Computational Astrophysics, Orbital Mechanics, Periodic Functions, Three Body Problem, Asymptotic Properties, Collinearity, Equilibrium, Orbit Calculation, Symmetry

Scientific paper

A systematic search for periodic orbits doubly-asymptotic to the collinear equilibrium points of the restricted three-body problem is carried out and many such orbits are found, each of them existing for a specific value of the mass parameter. These may be useful as reference orbits and seem to be special limit orbits representing period discontinuities in the evolution of the families of periodic orbits.

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