Topology Optimization Method in VLEO-LEO Satellite Networks Using Potential Game Theory

As the demand for remote sensing increases, it is gradually becoming possible for remote sensing satellites to access large-scale communication constellations through laser inter-satellite links, enabling high-throughput data backhaul. This paper addresses the inter-layer topology planning problem using potential game theory for the first time, strategically framing it as a decision-making problem for remote sensing satellites to access communication satellites. Then, theoretical derivation confirms that the above problem is a potential game and verifies the existence of Nash equilibrium. Additionally, considering factors such as laser link establishment time, cross-layer link visibility time consumption rate, mission transmission delay, and communication satellite loading level, a potential game strategy selection probability update algorithm (PG) based on revenue contribution is proposed. Finally, the superior performance of the PG algorithm in terms of task completion, transmission delay, and transport layer network load is effectively demonstrated through two scenarios involving the Starlink&DOVE and GW&R-SAT constellations.