Statistics – Computation
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...88..266l&link_type=abstract
Icarus (ISSN 0019-1035), vol. 88, Dec. 1990, p. 266-291.
Statistics
Computation
346
Chaos, Computational Astrophysics, Liapunov Functions, Solar System, Numerical Integration, Pluto (Planet)
Scientific paper
A transition from libration to circulation of the critical argument of the secular resonance related to the motions of perihelions and nodes of earth and Mars is suggested to be the basis of the exponential divergence of the orbits previously noted in the course of establishing the chaotic nature of the solar system (excluding Pluto). Another secular resonance, whose critical argument remains in libration over 200 myr with 10 myr period and 85-135 deg amplitudes, is also identified. Taking these resonances into account, the main features of the solutions of the inner planets are identified and a novel numerical method which uses the evolution with time of the fundamental frequencies is used to estimate the size of the chaotic regions; these are found to be large, and to correspond to fundamental frequency variations of about 0.2 arcsec/yr.
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