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We present an updated analysis of radial velocity data of the HD 82943planetary system based on 10 years of measurements obtained with the Kecktelescope. Previous studies have shown that the HD 82943 system has two planetsthat are likely in 2:1 mean-motion resonance (MMR), with the orbital periodsabout 220 and 440 days (Lee et al. 2006). However, alternative fits that arequalitatively different have also been suggested, with two planets in a 1:1resonance (Gozdziewski & Konacki 2006) or three planets in a Laplace 4:2:1resonance (Beauge et al. 2008). Here we use \c{hi}2 minimization combined withparameter grid search to investigate the orbital parameters and dynamicalstates of the qualitatively different types of fits, and we compare the resultsto those obtained with the differential evolution Markov chain Monte Carlomethod. Our results support the coplanar 2:1 MMR configuration for the HD 82943system, and show no evidence for either the 1:1 or 3-planet Laplace resonancefits. The inclination of the system with respect to the sky plane is wellconstrained at about 20(+4.9 -5.5) degree, and the system contains two planetswith masses of about 4.78 MJ and 4.80 MJ (where MJ is the mass of Jupiter) andorbital periods of about 219 and 442 days for the inner and outer planet,respectively. The best fit is dynamically stable with both eccentricity-typeresonant angles {\theta}1 and {\theta}2 librating around 0 degree.

Characterizing the Orbital and Dynamical State of the HD 82943 Planetary System With Keck Radial Velocity Data