On the original distribution of the asteroids. III - Orbits between Jupiter and Saturn

Details On the original distribution of the asteroids. III - Orbits between Jupiter and Saturn On the original distribution of the asteroids. III - Orbits between Jupiter and Saturn

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990icar...87..265s&link_type=abstract

Icarus (ISSN 0019-1035), vol. 87, Oct. 1990, p. 265-284.

Physics

32

Asteroids, Jupiter (Planet), Orbital Mechanics, Saturn (Planet), Celestial Mechanics, Eccentricity, Liapunov Functions, Orbital Resonances (Celestial Mechanics)

Scientific paper

The orbits of Jupiter and Saturn are represented by nonprecessing constant-eccentricity ellipses. Orbits that survive for longer than 800,000 Jupiter periods are found in the band of long-lived orbits centered at 1.35 and 1.45 Jovian distances. The effects of inaccuracies in the numerical integration on the orbit stability are examined, and it is demonstrated that stable orbits remain stable even when the accuracy is degraded by a factor of about 250,000. It is therefore considered that the long-delayed instability onset is not an artifact of the numerical integration but a consequence of the celestial mechanics.

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