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Existing terrestrial mobility management protocols manage the location of mobile nodes on the basis of the network topology. Applying such mechanisms in IP/LEO satellite networks will cause large number of binding update and ultimately affects the scalability of mobility management. And existing geographical mobility management protocols position the mobile node by satellite forwarding and paging schemes, which increase the cost of mobility management rapidly. This paper argues a low cost mobility management scheme for LEO satellite networks. It exploits geographical location and ground station information to decrease mobility management, reduce the number of update requests and paging cost. A detailed description of the actual implementation of the scheme is given. Through a mathematical analysis, the paper evaluates the required management cost and accordingly verifies the scalability of the proposed scheme.