Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002mnras.334..241b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 334, Issue 1, pp. 241-247.
Astronomy and Astrophysics
Astronomy
10
Celestial Mechanics, Minor Planets, Asteroids, Solar System: General, Celestial Mechanics, Minor Planets, Asteroids, Solar System: General
Scientific paper
We investigate the role of secular resonances on the motion of terrestrial-planet trojans in tadpole motion for 5Myr in the inclination range i<=90°. We use a Fourier spectrum of the eccentricity vector, e, and angular momentum vector, L. When i>40°, the trojans are in a Kozai resonance with Jupiter, which increases the eccentricity to planet-crossing values on a time-scale of 0.1Myr hence we found no stable trojan motion when i>40°. Trojans of Mercury are unstable for a large range in inclination due to the resonances ν1, ν12 and ν5, and only those with low and high inclinations survived in our simulations. For Venus and Earth trojans, the ν3 and ν4 secular resonances with the Earth and Mars respectively increase the eccentricity to planet-crossing values for moderate inclinations. Venus trojans are also affected by the ν11 resonance with Mercury at high inclinations hence Venus and Earth trojans are stable only at low inclinations. Mars trojans are affected by the ν3, ν4, ν13 and ν14 resonances with the Earth and Mars for low inclinations which increase the eccentricity and suppress oscillations of the inclination. At i=32°, the ν5 resonance destabilizes Mars trojans, although its width is less than a degree in inclination. The typical lifetime of inner-planet trojans trapped in a secular resonance is 1Myr for Venus, Earth and Mars trojans, while it is 105yr for Mercury trojans. Trojans in secular resonances are chaotic on time-scales of 103-104yr for all inner planets, while outside the resonances this becomes typically 106yr.
Brasser Ramon
Lehto Harry J.
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