A dynamical analysis of the Kepler-11 planetary system

摘要: The Kepler-11 planetary system hosts at least six transiting super-Earth planets detected through the precise photometric observations of Kepler mission (Lissauer et al.). In this paper, we re-analyse available data, using direct N-body approach rather than an indirect transit timing variation method as employed in discovery paper. orbital modelling realm relies on whole data set, not only mid-transits times. Most results original paper are confirmed and extended. We constrained mass outermost planet g to less 30 M⊕. mutual inclinations between orbits b c well d e determined with a good precision, range [1°, 5°]. Having several solutions four qualitative models system, analyse its global dynamics help dynamical maps. They reveal sophisticated structure phase space, narrow regions regular motion. governed by dense net three- four-body mean motion resonances, forming Arnold web. Overlapping these resonances is main source instability. found that may be long-term stable particular multiple resonant configurations small relative inclinations. mass–radius derived for all companions clear anticorrelation density their distance from star. This reflect formation early evolution history system.