A numerical investigation of the stability of Saturn's triangular Lagrange points

Details A numerical investigation of the stability of Saturn's triangular Lagrange points A numerical investigation of the stability of Saturn's triangular Lagrange points

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988aj.....96.1983z&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 96, Dec. 1988, p. 1983-1988. Research supported by NSERC.

Astronomy and Astrophysics

Astronomy

14

Celestial Mechanics, Lagrangian Equilibrium Points, Orbital Mechanics, Saturn (Planet), Equations Of Motion, Four Body Problem, Jupiter (Planet), Perturbation Theory

Scientific paper

NumericaL experiments in an idealized model are presented which show an unexpected result: that there exist in the neighborhoods of Saturn's classical triangular Lagrange points (i.e. "displaced Lagrange triangular points") points that are stable against Jupiter's perturbation for integration times exceeding 105yr. Increasing initial displacements from these points yield the expected tadpole, horseshoe, and chaotic regions, together with close encounters with Saturn, and occasionally with Jupiter. The neighborhoods of Saturn's classical triangular points should be reobserved to limits fainter than m ≡ 17.

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