In this paper, we describe a new carrier phase estimator, called TD estimator, suited to transmission schemes based on convolutional turbo-codes. The foreseen application is multimedia telecommunication systems with geostationary satellites at Ka-band. For these systems, the on-board receiver has to operate at low SNR to fulfill up-link link budgets and the critical point is the carrier phase recovery. We show that the proposed TD estimator has an operating point of at least E_c/N₀ = 0dB and that the degradation due to frequency deviation and phase noise impairments of this algorithm is less than 1dB for recursive systematic convolutional codes on which turbo-codes are based.