On the instability region around the 5:3 Jovian resonance

Details On the instability region around the 5:3 Jovian resonance On the instability region around the 5:3 Jovian resonance

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...43..227f&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 43, Dec. 1988, p. 227-232. Research supported by the Consejo de Investigaciones

Statistics

Computation

1

Asteroids, Computational Astrophysics, Jupiter (Planet), Orbital Resonances (Celestial Mechanics), Distribution Functions, Fourier Analysis, Three Body Problem

Scientific paper

From the classical Fourier expansion of the disturbing function for an asteroid under the effects of the 5:3 Jovian resonance (in the planar elliptic problem), a system of differential equations in (h, k) variables with periodic coefficients was constructed. This system was solved analytically using Baker's matricial method, and the characteristic exponents calculated. Results show the existence of an instability region (in the semi-major axis domain) around this resonance, even though it is smaller than the observed extension of the gap.

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