Edge computing, an emerging decentralized computing paradigm, extends Cloud infrastructure to the network edge to enable low-latency services and emphasizes widespread availability among users. Service orchestration plays a crucial role in optimizing performance and dynamically adapting to the changing context of Edge computing. Due to current environmental considerations and the large number of distributed servers in Edge computing, it is necessary to develop more sustainable and efficient methods for orchestration. To this end, renewable energy sources offer a promising approach to increase system sustainability. In this paper, we present a proposition for a comprehensive classification of edge service orchestration strategies that incorporate renewable energy sources in their infrastructures.