On Secular Resonances of Small Bodies in the Planetary Systems

Jianghui, Ji; Lin, Liu; Guangyu, Li

On Secular Resonances of Small Bodies in the Planetary Systems

Authors

Jianghui, Ji

Lin, Liu

Guangyu, Li

Description

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 $ν_1$ and $ν_2$ (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.
8 pages, 3 figures, accepted to IAU236. Proceeding of IAU 236: Near Earth Objects, Our Celestial Neighbors: Opportunity and Risk, in press