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Asymptotic solutions of the restricted problem near the equilateral Lagrangian points

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Abstract

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 in 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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Authors and Affiliations

  1. Departmento de Astronomía, Universidad de Zaragoza, 50009, Zaragoza, Spain

    R. Cid, S. Ferrer & J. A. Caballero

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  1. R. Cid
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  2. S. Ferrer
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  3. J. A. Caballero
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Cid, R., Ferrer, S. & Caballero, J.A. Asymptotic solutions of the restricted problem near the equilateral Lagrangian points. Celestial Mechanics 35, 189–200 (1985). https://doi.org/10.1007/BF01227668

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  • DOI: https://doi.org/10.1007/BF01227668

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