An analytical framework for the efficient evaluation of the performance of complete sharing (CS) and complete partitioning (CP) resource sharing policies under a newly proposed general channel management strategy for multi-class traffic in Low Earth Orbit-Mobile Satellite Systems (LEO-MSS) is presented. This strategy gives a higher priority to handover calls over new calls by combine the guard channel scheme, the queuing priority scheme and the sub-rating scheme in such a way to reduce the forced termination probability of handover calls with little impact on other system performance measure, such as new call blocking probability and unsuccessful call probability.