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We present time series photometry and constraints on additional planets infive of the exoplanetary systems studied by the EPOCh (Extrasolar PlanetObservation and Characterization) component of the NASA EPOXI mission: HAT-P-4,TrES-3, TrES-2, WASP-3, and HAT-P-7. We conduct a search of the high-precisiontime series for photometric transits of additional planets. We find nocandidate transits with significance higher than our detection limit. FromMonte Carlo tests of the time series using putative periods from 0.5 days to 7days, we demonstrate the sensitivity to detect Neptune-sized companions aroundTrES-2, sub-Saturn-sized companions in the HAT-P-4, TrES-3, and WASP-3 systems,and Saturn-sized companions around HAT-P-7. We investigate in particular oursensitivity to additional transits in the dynamically favorable 3:2 and 2:1exterior resonances with the known exoplanets: if we assume coplanar orbitswith the known planets, then companions in these resonances with HAT-P-4b,WASP-3b, and HAT-P-7b would be expected to transit, and we can set lower limitson the radii of companions in these systems. In the nearly grazing exoplanetarysystems TrES-3 and TrES-2, additional coplanar planets in these resonances arenot expected to transit. However, we place lower limits on the radii ofcompanions that would transit if the orbits were misaligned by 2.0 degrees and1.4 degrees for TrES-3 and TrES-2, respectively.

A Search for Additional Planets in Five of the Exoplanetary Systems Studied by the NASA EPOXI Mission