Asymptotic solutions of the restricted problem near the equilateral Lagrangian points

Details Asymptotic solutions of the restricted problem near the equilateral Lagrangian points Asymptotic solutions of the restricted problem near the equilateral Lagrangian points

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..189c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Feb. 1985, p. 189-200.

Physics

1

Asymptotic Methods, Lagrangian Equilibrium Points, Three Body Problem, Binomials, Hamiltonian Functions, Libration, Orbit Perturbation, Resonance

Scientific paper

The restricted problem in the vicinity of the Lagrangian point L4 is studied by finding a convergent binomial expansion of the disturbing function. Using a Hamiltonian formulation if Delaunay variables and removing the short-period terms, a resonance problem (already considered by Giacaglia (1970) in an attempt of enlarging the Ideal Resonance) is obtained. It is shown that this extension is reducible to Garfinkel's ideal resonance in the libration region.

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