Physical Properties and Impact Parameter Variations of Kepler Planets from Analytic Light-curve Modeling

We apply AnalyticLC, an analytic model described in accompanying paper, to interpret Kepler data of systems that contain two or three transiting planets. perform tests verify the obtained solutions agree with full N-body integrations, and number parameters is statistically justified. probe non-coplanar interactions via impact parameter variations (TbVs), enabled by our model. The subset a valid solution includes 54 composed 140 planets, more than half which without previously reported mass constraints. Overall we provide: (1) Estimates on physical orbital properties for all analyzed. (2) 102 planets detections significant better 3 standard deviations, 43 are lighter five Earth masses. (3) 35 TbVs deviations. focus select showing strong TbVs, can result from either interaction among known non-transiting object, (4) method constrain such unseen companions. These results accurate, 3D, photodynamical model, kind expected become increasingly important modeling multi-decade photometric composite (RV, astrometry) sets.