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We combine statistical arguments and dynamical analysis to study the orbitalconfiguration of the microlensing planetary system OGLE-2012-BLG-0026L. Thissystem is known to host two massive planets, with both projected close to theEinstein ring at the time of the detection. Assuming an isotropic distributionfor the orbital orientation, we find that the two planets should also beclosely spaced in three-dimensional space and that the ratio of their orbitalperiods is almost certainly less than two. With N-body numerical integrations,we then identify two types of stable configurations: the two planets can be infirst-order mean-motion resonances (MMRs) and have significant ($\gtrsim0.1$)eccentricities, or they stay out of MMRs and have nearly circular orbits. Thelatter is disfavored, given the absence of similar planet pairs in radialvelocity (RV) observations as well as the theoretical difficulties in formingsuch a configuration. Therefore, the two massive planets in OGLE-2012-BLG-0026Lare likely in a resonance configuration. Our work shows that the microlensingtechnique, which usually only measures the projected configurations, can alsoprobe the detailed dynamical state of multi-planet systems. We also discusstheoretical implications of measuring the multiplicity and the orbitalarchitecture of cold planets.

A Pair of Planets Likely in Mean-motion Resonance From Gravitational Microlensing