Numerical investigation of the stability of the triangular Lagrange points of the planets

Details Numerical investigation of the stability of the triangular Lagrange points of the planets Numerical investigation of the stability of the triangular Lagrange points of the planets

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988aj.....96.1989z&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 96, Dec. 1988, p. 1989-1994. Research supported by NSERC.

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Applications

14

Celestial Mechanics, Lagrangian Equilibrium Points, Many Body Problem, Planetary Orbits, Equations Of Motion, Orbital Mechanics, Perturbation Theory

Scientific paper

Numerical experiments are described in an idealized model which show that orbital motion in the neighborhood of the planetary triangular Lagrange points is surprisingly stable against the perturbations of the other planets, for tens of thousands of years. These regions should be reobserved to faint limits to check for natural objects. If the neighborhoods are unoccupied, then they are natural sites for space stations for a variety of astrophysical and astronautical applications. Destabilizing such motion frequently leads to capture by, or collision with, the primary planet, or to interplanetary trajectories.

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