## 1 Introduction  
The TCP/IP architecture, originally proposed to provide reliable communication between pairs of nodes in the Internet [1], is a host-centric architecture in which packets only identify communication endpoints using IP addresses. However, the general purpose of the Internet has changed significantly since its origin, and today's applications and services use it mainly as a distribution network [2]. Thus, the need to identify the ends of communication in IP networks has become nothing but a shortcoming of the system. Information-centric networks (ICNs) adopt a different paradigm for communication on the Internet. In ICNs, the current host-centric TCP/IP architecture is replaced with a new data-centric architecture that brings data into focus. One of the most popular ICN proposals is the named data networking (NDN) project, proposed in 2010 and funded by the NSF Future Internet Architecture Program. This architecture changes the dynamics of network interaction from sending a packet to a given destination to fetching data by addressing its name, regardless of its location. NDN has some relevant advantages over IP. Firstly, the data identity is decoupled from its location, and hence, the data can be easily moved. Additionally, any node can reply to a data request if it has a copy of the desired data. This means that the NDN architecture natively provides transparent in-network caching for content providers. In addition, it separates consumer mobility from data transmission due to its consumer-driven interaction. At the same time, there has been renewed interest in low Earth orbit (LEO) satellite networks to provide global Internet connectivity with low latency and high bandwidth. These new satellite networks can play an important role in multiple applications, such as fleet management, maritime or aeronautical tracking systems, and even in disaster relief, since they guarantee connectivity in remote areas where it is difficult or expensive to install ground infrastructure. Indeed, they can also be a complement to fifth generation (5G) networks, either as an additional radio access technology (RAT) or as a 5G core (5 GC) backhaul; they will surely compete with large distance connectivity providers, such as submarine cable. SpaceX Starlink is currently the most advanced satellite Internet provider. As of July 2022, SpaceX Starlink has a fully operational constellation of nearly 2600 satellites and more than 500,000 estimated subscribers, and it has applied for permission to deploy up to 42,000 satellites [3]. Its strongest competitors are Amazon's Project Kuiper, OneWeb, Telesat's Lightspeed, Boeing and Kepler Communications, but SpaceX is the only corporation that already has a fully operational network. The possibility of interconnecting LEO satellites through inter-satellite links (ISLs) will be one of the strongest advantages of these constellations, though this feature has not been used by commercial deployments yet. ISLs are laser links, also known as free space optical (FSO) links, that take advantage of vacuum conditions for lower latency, higher data rates, smaller antenna sizes, narrower beams and lower power requirements. The use of ISLs between neighboring satellites results in a grid topology that is particularly convenient for maintaining a well-structured satellite network, the core idea of the work in this paper. At present, it is not clear which will be the networking design of these large constellations of LEO satellites, but the idea of using NDN in them is gradually gaining attention since this architecture is especially convenient for highly dynamic network environments [4; 5]. Its strongest advantage over IP is the mobility management, which is one of the biggest challenges of LEO constellations, given the orbital speed of these satellites (LEO satellites need about 90 min to orbit the Earth [6]).