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A new modelling method suited to the dual circular polarised 2×2 (MIMO) channel applicable to land mobile satellite (LMS) communications in line of sight cases is presented. In this scenario, it is necessary to apply correlated fading to the co-polarised and cross-polarised channels separately in order to model the evident polarization multiplexing in such channels found from measurement data. Comparisons between model and measured data for satellite elevations of 30° are presented for validation. Influence of the vehicle interior on the channel model is also analysed.