## 1 Introduction  
Research into sixth-generation (6G) networks has gained significant traction, particularly as the traffic continues its rapid evolution, reaching 5016 EB by 2030 toward more complex and demanding applications [1]. Meanwhile, ongoing work on resource allocation in heterogeneous 5G networks emphasizes scalability, adaptive user provisioning, and emerging deployment challenges [2], providing valuable insights into how future 6G systems can extend or refine these strategies. In parallel, aerospace integrated networks--often envisioned as a critical component for 6G--promise global connectivity through interconnected satellite constellations and airborne platforms [3]. LEO satellites not only provide computing and content retrieval services but are also capable of efficient data transmission, particularly in scenarios sensitive to time delays. In contrast, GEO satellites primarily function as data transmission relays, offering stable connectivity over wider areas. Building on these advances, our study presents a novel dual-layer satellite architecture designed to synchronize communication and computation resources across both LEO and GEO satellites, with the ultimate goal of empowering next-generation IoT services. With the rapid advancement of science and technology, human civilization is continually progressing. Today, human activities are no longer limited to plains; they have expanded into deserts, oceans, the sky, and even outer space. However, these areas are characterized by wide distribution and high density, which makes information transmission in these areas somewhat challenging. Due to the broad spatial distribution, long transmission distances, and limited node capacity, traditional cellular systems can no longer meet the demand for real-time communication. Satellite communication, with its large communication capacity, long transmission distance, and ability to ignore complex topographical features, has gained increasing attention in recent years and offers new solutions to these issues [4]. Specifically, dual-layer satellite networks can further enhance the stability and reliability of satellite communication, as well as expand bandwidth and coverage. By integrating multi-layer satellite and ground networks, the geographical limitations of ground networks can be overcome, making heterogeneous satellite networks (HSN) a popular development direction in modern communication technology [5]. However, deploying HSN introduces critical challenges that require innovative solutions. Key issues include efficient resource allocation to meet diverse user demands, minimizing co-channel interference between LEO and GEO satellites in shared spectrum scenarios, and ensuring low-latency service delivery for applications such as video streaming. These challenges are further compounded by the complexity of integrating emerging technologies like Mobile Edge Computing (MEC), in-network caching, and Software-Defined Networking (SDN) into HSN architectures. According to the [6], the development of the industry has enriched short video content, significantly increasing user numbers and making it a primary source of mobile internet usage time and traffic. As of December 2023, the user size of online video in China had reached 1.067 billion. The ubiquity of video services presents a huge challenge for the design and operation of the next generation of mobile networks. One of the issues faced by video transmission services is the environmental limitations and resource scarcity of terrestrial cellular networks, which can cause disruptions and instability in video service transmission. Considering the characteristics of heterogeneous satellite networks discussed earlier, introducing them into video service transmission schemes presents new possibilities. There are still several challenges in implementing video transmission services in heterogeneous satellite networks.