Mathematics – Dynamical Systems
Scientific paper
Nov 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..22..371w&link_type=abstract
Celestial Mechanics, vol. 22, Nov. 1980, p. 371-402.
Mathematics
Dynamical Systems
36
Celestial Mechanics, Dynamic Stability, Many Body Problem, Three Body Problem, Earth-Moon System, Equations Of Motion, Gravitational Effects, Orbit Perturbation, Orbital Elements, Solar System, Tables (Data)
Scientific paper
An expansion of the force function of n-body dynamical systems produces a set of (n-1)(n-2) dimensionless parameters representative of the dimensions of the disturbances on the Keplerian orbits of various bodies. The expansion is particularized to the case n = 3; the work of Szebely and Zare (1977) is reviewed with reference to the sufficient condition for the stability of corotational coplanar 3-body systems, in which 2 of the bodies form a binary system. Known triple systems and numerical experiments in the many-body problem are used to plot a large number of triple systems which include epsilon 23 and epsilon 32 parameters; the extension of the epsilon criteria to many-body systems where n is greater than 4 is also discussed.
Emslie Gordon A.
Roy Archie E.
Walker Ian W.
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