This paper investigates the 64 APSK modulation scheme that designs for efficient transmission over satellite channels owing to its intrinsic robustness against nonlinear amplifier distortions. The traditional DVB-S2 standard adopted QPSK, 8PSK, 16 APSK and 32 APSK modulation schemes. The technique based on the 64 APSK modulation scheme has shown increased performance in contrast to DVB-S2, and it is mainly targeted at professional applications due to the higher requirements in terms of the available Signal to Noise Ratio (SNR). This paper first presents the basic modulation principle. Second, it derives an expression of 32 APSK and 64 APSK to approximate the error probability after a detailed derivation of 16 APSK error probability. Finally, it compares with the 16 APSK and 64QAM schemes, and analyzes the performance of 64 APSK modulation transmitted in the Additive White Gaussian Noise (AWGN) channel through detailed computer simulations.