Generalized model of a relay satellite with the routing function and the inter-satellite paths

The paper considers a low-orbit communication system that includes relay satellites with the function of routing messages to an arbitrary number of subscriber and inter-satellite paths, where the subscriber message packets arriving from a subscriber or inter-satellite path are translated in any of them. It analyzes two models of the low-orbit communication system implemented on the basis of mathematical apparatus of the mass service systems without mutual overlap and with mutual overlap in the service zones of a low-orbit communication system, on the which basis the analytical relationships are obtained for a model with the arbitrary number of paths. It is found that a model with an arbitrary number of paths could be adequately represented by the simplest model without overlapping the zones, provided that the load arriving at its input is correctly varied.
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