AnalyticLC is a method for analytic, fast and accurate 3D modeling of photometric light curves, radial velocities and astromety of planetary systems. We summarize the basic principles behind the method, and present results on 140 planets in 54 multi-planet Kepler systems. These results include planetary masses and orbital properties, with special emphasis on probing mutual inclinations via impact parameter variations. These measurements of the orbital orientations are pertinent to the systems' formation and dynamical evolution. The presented analytic approach is advantageous for long-baseline, multi-source data, so should be particularly useful for PLATO. The code will be made available to the community.

This study was supported by the Helen Kimmel Center for Planetary Sciences and the Minerva Center for Life Under Extreme Planetary Conditions 13599 at the Weizmann Institute of Science.