As part of the NASA EPOXI Mission of Opportunity , we observed seven known transiting extrasolar planet systems in order to construct time series photometry of extremely high phase coverage and precision . Here we present the results for four “ hot-Jupiter systems ” with near-solar stars—HAT-P-4 , TrES-3 , TrES-2 and WASP-3 . We observe ten transits of HAT-P-4 , estimating the planet radius R _ { p } = 1.332 \pm 0.052 R _ { Jup } , the stellar radius R _ { \star } = 1.602 \pm 0.061 R _ { \odot } , the inclination i = 89.67 \pm 0.30 degrees and the transit duration from first to fourth contact \tau = 255.6 \pm 1.9 minutes . For TrES-3 , we observe seven transits , and find R _ { p } = 1.320 \pm 0.057 R _ { Jup } , R _ { \star } = 0.817 \pm 0.022 R _ { \odot } , i = 81.99 \pm 0.30 degrees and \tau = 81.9 \pm 1.1 minutes . We also note a long term variability in the TrES-3 light curve , which may be due to star spots . We observe nine transits of TrES-2 , and find R _ { p } = 1.169 \pm 0.034 R _ { Jup } , R _ { \star } = 0.940 \pm 0.026 R _ { \odot } , i = 84.15 \pm 0.16 degrees and \tau = 107.3 \pm 1.1 minutes . Finally we observe eight transits of WASP-3 , finding R _ { p } = 1.385 \pm 0.060 R _ { Jup } , R _ { \star } = 1.354 \pm 0.056 R _ { \odot } , i = 84.22 \pm 0.81 degrees and \tau = 167.3 \pm 1.3 minutes . We present refined orbital periods and times of transit for each target . We state 95 % confidence upper limits on the secondary eclipse depths in our broadband visible bandpass centered on 650 nm . These limits are 0.073 % for HAT-P-4 , 0.062 % for TrES-3 , 0.16 % for TrES-2 and 0.11 % for WASP-3 . We combine the TrES-3 secondary eclipse information with the existing published data and confirm that the atmosphere likely does not have a temperature inversion .