I. Introduction
As the part of the 6G vision, LEO satellite constellations are developing towards high throughput and dense access for future extensive application such as artificial intelligence and real-time sensing [1]. The growing data traffic generated by various services urgently requires more efficient on-board processing [2] –[4]. Advances in space laser communication technology have allowed satellites to utilize optical links with high-capacity, which has attracted a number of ambitious projects, such as Starlink, take a great interest in laser inter-satellite links (LISLs) [5]. LISLs networking allows satellite constellations to form satellite distributed computing network (SDCN) [6].