Microlensing Theory and Observables Yossi Shvartzvald NPP Fellow

Microlensing Theory and Observables Yossi Shvartzvald NPP Fellow @ JPL Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Einstein Angular Radius Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing Geometry The Lensing Equation (single lens) Side view Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by a Single lens Observer view ~milliarcse c Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by a Single lens Source plane to Lens plane Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by a Single lens Observer view Source plane to Lens plane Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – single lens Lens-Source relative proper motion Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – single lens Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – single lens Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – single lens Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – single lens S. Gaudi Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Side view Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens The Lensing Equation (2 lenses) Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by star+planet lensing system Magnification map Caustics – contours of formally infinite magnification Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by star+planet lensing system Magnification map Caustics – contours of formally infinite magnification Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by star+planet lensing system Gaudi 2012 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Magnification by star+planet lensing system Caustics topologies Cassan 2008 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens S. Gaudi Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens S. Gaudi Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens S. Gaudi Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens The Lensing Equation (2 lenses) Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – multiple planets The Lensing Equation (multiple lenses) Observer view Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Einstein angle Point source Lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Einstein angle Finite-size source Lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Dong et al. 2009 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Dong et al. 2009 Bennett & Rhie 1996 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Bond et al. 2004 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – High order effects Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

From lensing observables to physical parameters Orbital parallax - single orbiting observer Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

From lensing observables to physical parameters Orbital parallax - single orbiting observer Gould & Horne 2013 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

From lensing observables to physical parameters Orbital parallax - single orbiting observer Gould & Horne 2013 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

From lensing observables to physical parameters Orbital parallax - single orbiting observer Wyrzykowski et al. 2016 Gould & Horne 2013 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

From lensing observables to physical parameters Satellite parallax - two “fixed” observers Yee et al. 2014 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Udalski et al. 2015 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Skowron et al. 2011 Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens Microlensing tutorial, 21 st Microlensing conference – Theory and Observables

Microlensing observables – star+planet lens d n E e h T Microlensing tutorial, 21 st Microlensing conference – Theory and Observables