Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..54..357s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 54, no. 4, p. 357-362.
Astronomy and Astrophysics
Astronomy
Chaos, Hill Method, Laplace Equation, Liapunov Functions, Three Body Problem, Gravitational Effects, Planetary Evolution, Poincare Problem, Star Clusters
Scientific paper
Chaotic motion is presented as a fundamental cause for the development of the Laplacian instability described by the Graziani-Black (GB) criterion. While the GB criterion is valid for different sets of finite masses in a general three-body system, a circular planar restricted three-body system is studied here. Poincare surfaces of section and Liapunov characteristic numbers are used to test for the chaotic motion in this system. A simple description of the chaos detection techniques and the GB criterion is provided.
Smith Roland H.
Szebehely Vector
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