On Secular Resonances of Small Bodies in the Planetary Systems

Details On Secular Resonances of Small Bodies in the Planetary Systems On Secular Resonances of Small Bodies in the Planetary Systems

2006-11-30

arxiv.org/abs/astro-ph/0612001v1

IAUSymp.236:77-84,2007

Astronomy and Astrophysics

Astrophysics

8 pages, 3 figures, accepted to IAU236. Proceeding of IAU 236: Near Earth Objects, Our Celestial Neighbors: Opportunity and Ri

Scientific paper

10.1017/S1743921307003092

We investigate the secular resonances for massless small bodies and Earth-like planets in several planetary systems. We further compare the results with those of Solar System. For example, in the GJ 876 planetary system, we show that the secular resonances $\nu_1$ and $\nu_2$ (respectively, resulting from the inner and outer giant planets) can excite the eccentricities of the Earth-like planets with orbits 0.21 AU $\leq a <$ 0.50 AU and eject them out of the system in a short timescale. However, in a dynamical sense, the potential zones for the existence of Earth-like planets are in the area 0.50 AU $\leq a \leq$ 1.00 AU, and there exist all stable orbits last up to $10^5$ yr with low eccentricities. For other systems, e.g., 47 UMa, we also show that the Habitable Zones for Earth-like planets are related to both secular resonances and mean motion resonances in the systems.

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