Mathematics
Scientific paper
May 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..62..299k&link_type=abstract
Astrophysics and Space Science, vol. 62, no. 2, May 1979, p. 299-307.
Mathematics
2
Dynamic Stability, Jupiter (Planet), Manifolds (Mathematics), Solar Orbits, Three Body Problem, Asymmetry, Eccentricity, Graphs (Charts)
Scientific paper
Message and Taylor (1978) have given values of the mean eccentricities and commensurabilities which correspond to bifurcation orbits of families of symmetric periodic orbits with families of asymmetric periodic orbits in the limit as the mass ratio tends to zero. These bifurcations have been given in such a way that they seem to be isolated and unrelated from the whole structure of the periodic orbits of the system. In this paper a numerical investigation of the horizontal stability of the family l and its branches reveals the above bifurcations orbits in the sun-Jupiter case of the restricted three-body problem and associates these orbits with the whole structure of the system, giving extensive information on them.
Kazantzis P. G.
Zagouras C. G.
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