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The authors present strategies and modifications to the implementation of the so-called analytical method used in interference analysis involving non-GSO (non-geostationary orbit) systems. The proposed modifications aim at the reduction of the required computer time to values that make the method a practical interference evaluation tool in situations involving multiple non-GSO systems. It is shown that substantial reduction in computer time can be achieved through the adoption of an adaptive step size mechanism for the discretisation of the non-GSO satellite positions and through the use of Gauss quadrature rule numerical integration. Interference computation examples are presented throughout the paper.