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We propose new models for characterizing the cell residence time in a mobile low-Earth-orbit (LEO) satellite cellular network, which, unlike previous models, can accommodate the effect of the Earth's rotation in the teletraffic analysis. The speed of the satellite is typically much higher than that of the mobile; as such, the duration of a cell residence time is finite. Therefore, we use distributions with finite support to model the cell residence time. In particular, we model the residence time in the first (origination) cell with a right-truncated gamma distribution and the residence time in all the other cells with a generalized beta distribution. These distributions have finite support and are sufficiently flexible to accommodate the effects of different system conditions, including the Earth's rotation. To illustrate the use of the proposed models, we study the performance of a mobile LEO satellite cellular network based on the assumption that the residence time in the first cell follows the right-truncated gamma distribution, the residence times in all the other cells follow the generalized beta distribution, and the call duration is gamma distributed. The goodness of the proposed models is validated by computer simulation.