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Internet services using satellites for high-speed trains are being widely studied these days. The major drawback of satellite networks is that antennas on the trains cannot receive signals from the satellites in train stations. To solve this problem, performing IP handover to terrestrial wireless networks in the stations is considered. However, due to long disconnection time of layer 2 and layer 3 inherent in IP handover, the performance of current IP handover schemes is not satisfactory in this case. In our previous study regarding this situation, we proposed a new fast IP handover scheme between a geo-satellite network and a terrestrial wireless LAN network for high-speed trains. Although the proposed scheme reduces the handover latency, TCP throughput deterioration remains due to increased Round Trip Time (RTT) caused by the movement of MR (Mobile Router) to the link with longer propagation delay than the previous one. In this paper, we apply a Performance Enhancing Proxy (PEP) to previous research and show performance improvements through simulations.