0 Assigned ID: 702 ----- Attempting Submission 1 (Tue Feb 26 23:11:04 GMT 2019) ----- HST Phase I Proposal 702 (Midcycle1.apt) successfully submitted. Receipt: # 702-1 ----- Attempting Submission 2 (Tue Feb 26 23:45:03 GMT 2019) ----- HST Phase I Proposal 702 (Midcycle1.apt) successfully submitted. Receipt: # 702-2 Corrections with 8 pt dither from 16 pt dither -57729816 ----- Attempting Submission 2 (Mon May 06 21:11:23 GMT 2019) ----- Host Mass and Distance Dependence of Wide Orbit Planets with Near Simultaneous HST and Keck AO Observations We propose Hubble observations to detect both the photometric and astrometric signatures of host stars for 3 planets found by gravitational microlensing. These signatures will allow us to determine the masses and distances of the exoplanet host stars, and they will help us sharpen tests of the core accretion theory predictions for the exoplanet mass function beyond the snow line. Because of their small angular Einstein radii, these events are crucial to avoid a degeneracy between the dependence of exoplanet properties on host mass and their dependence on distance. In order to avoid systematic errors due to stellar proper motions, we request observations within 7 days of our already secured NASA Keck observing time in May, 2019. These near simultaneous observations will provide a precise comparison between optical astrometry of the Hubble images and the infrared astrometry of Keck adaptive optics (AO) images, and they will allow us to detect the separation of the planetary host and source stars via the color-dependent centroid shift effect. This effect is maximized with the optical-infrared color difference that the combined HST and Keck AO data will provide. We propose to observe only the events which require the centroid shift method to determine the masses and distance of the planet and its host star. Our proposed observations will help us to develop and test this optical-infrared color-dependent centroid shift method and constrain the exoplanet mass function in a larger statistical sample of microlens planetary systems. We propose Hubble observations to detect both the photometric and astrometric signatures of host stars for 3 planets found by gravitational microlensing. These signatures will allow us to determine the masses and distances of the exoplanet host stars, and they will help us sharpen tests of the core accretion theory predictions for the exoplanet mass function beyond the snow line. We request nearly simultaneous observations with our NASA Keck Key Strategic Mission Support observing program to provide a precise comparison between optical astrometry of the Hubble images and the infrared astrometry of Keck adaptive optics (AO) images. This will allow us to detect the separation of the planetary host and source stars via the color-dependent centroid shift effect. In order to avoid systematic errors due to stellar proper motions, we request observations within 5 days of our Keck Key observing program, which is scheduled for 7 half-nights during May 24-30. This effect is maximized with the optical-infrared color difference that the combined HST and Keck AO data will provide. Our proposed observations will help us to develop and test this optical-infrared color-dependent centroid shift method for use with a larger sample of microlens planetary systems during the second year of our Keck observing program. 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