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By making use of LDPC codes and a smaller roll-off factor, the advanced satellite broadcasting system proposed by us has a 30% higher transmission channel capacity in comparison with the current ISDB-S system. In addition, the transmission channel capacity can be more increased by using multi-level amplitude phase shift keying (M-APSK) modulation. However, the APSK signal is more sensitive to the non-linear distortion. Hence, a careful consideration for APSK should be paid for transmission over a satellite channel. In this paper, we report on adaptive equalizers that are designed for APSK transmission over a satellite channel. We also report on computer simulation results of equalized 16/32APSK performances under a satellite channel model and discuss the equalization effect for the advanced ISDB-S system transmission format.