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Demand assignment of satellite power on a call-call-by-call basis results in increased system capacity. The probability that a call is blocked is not readily available, and standard formulas commonly used for the Poisson and Erlang B traffic model cannot be directly applied. Expressions for blocking probabilities are derived here for fully variable, variable-source, and variable-destination demand assignments. A numerical example is given for their application in a network of terminals of varying sizes and known point-to-point traffic.