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We present the detection and characterization of the full-orbit phase curveand secondary eclipse of the ultra-hot Jupiter WASP-33b at optical wavelengths,along with the pulsation spectrum of the host star. We analyzed data collectedby the Transiting Exoplanet Survey Satellite (TESS) in sector 18. WASP-33bbelongs to a very short list of highly irradiated exoplanets that werediscovered from the ground and were later visited by TESS. The host star ofWASP-33b is of delta Scuti-type and shows nonradial pulsations in themillimagnitude regime, with periods comparable to the period of the primarytransit. These completely deform the photometric light curve, which hinders ourinterpretations. By carrying out a detailed determination of the pulsationspectrum of the host star, we find 29 pulsation frequencies with asignal-to-noise ratio higher than 4. After cleaning the light curve from thestellar pulsations, we confidently report a secondary eclipse depth of 305.8+/- 35.5 parts-per-million (ppm), along with an amplitude of the phase curve of100.4 +/- 13.1 ppm and a corresponding westward offset between the region ofmaximum brightness and the substellar point of 28.7 +/- 7.1 degrees, makingWASP-33b one of the few planets with such an offset found so far. Our derivedBond albedo, A_B = 0.369 +/- 0.050, and heat recirculation efficiency, epsilon= 0.189 +/- 0.014, confirm again that he behavior of WASP-33b is similar tothat of other hot Jupiters, despite the high irradiation received from its hoststar. By connecting the amplitude of the phase curve to the primary transit anddepths of the secondary eclipse, we determine that the day- and nightsidebrightness temperatures of WASP-33b are 3014 +/- 60 K and 1605 +/- 45 K,respectively. From the detection of photometric variations due to gravitationalinteractions, we estimate a planet mass of M_P = 2.81 +/- 0.53 M$_J.

TESS unveils the phase curve of WASP-33b. Characterization of the planetary atmosphere and the pulsations from the star