On Secular Resonances of Small Bodies in the Planetary Systems

Abstract

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 $\le a<$ 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 $\le a\le$ 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.

arXiv comment8 pages, 3 figures, accepted to IAU236. Proceeding of IAU 236: Near Earth Objects, Our Celestial Neighbors: Opportunity and Risk, in press

References in corpus (11)

• Catalog of Nearby Exoplanets
• A Neptune-Mass Planet Orbiting the Nearby M Dwarf GJ 436
• A ~ 7.5 Earth-Mass Planet Orbiting the Nearby Star, GJ 876
• Detection of a NEPTUNE-mass planet in the ${\rho }^1$ Cancri system using the Hobby-Eberly Telescope
• Secular Evolution of Hierarchical Planetary Systems
• The (In)Stability of Planetary Systems
• The Dynamical Simulations of the Planets Orbiting GJ 876
• The Librating Companions in HD 37124, HD 12661, HD 82943, 47 Uma and GJ 876: Alignment or Antialignment?
• A Dynamical Analysis of the 47 UMa Planetary System
• The GJ 876 Planetary System -- A Progress Report
• Could the 47 UMa Planetary System be a Second Solar System: predicting the Earth-like planets