The stable regions of triangular libration points of the planets

Details The stable regions of triangular libration points of the planets The stable regions of triangular libration points of the planets

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993acasn..34...45z&link_type=abstract

Acta Astronomica Sinica (ISSN 0001-5245), vol. 34, no. 1, p. 45-54.

Mathematics

Dynamical Systems

Libration, Orbital Resonances (Celestial Mechanics), Solar Orbits, Dynamical Systems, Systems Stability, Three Body Problem

Scientific paper

The present treatment of the stable regions of the triangular libration points in the restricted three-body problem derives an l/l ideal-resonance model and subjects it to a detailed quantitative analysis. Accurate analytical expressions of the half-width of the ordinary libration region and the resonant period in the deep libration region are presented. A comparison is then conducted between the l/l ideal resonance model and the planar circular restricted three-body problem; a simple correspondence relation between on-plane trajectory and on-plane locus is noted. Attention is given to the effects of several perturbing factors.

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