Nuclear electric propulsion (NEP) offers groundbreaking capabilities for both exploration missions and in-space logistics. In the context of the New Moon race and the aspiration to establish a Mars colony, NEP holds potential space transportation applications, when other propulsion means can be inefficient. This paper proposes a market study to assess the potential applications of NEP and its competitiveness with respect to other means of propulsion. The paper analyses various use cases (transfer between a low Earth orbit (LEO) and geostationary orbit (GEO), and a transfer from LEO to a lunar orbit) but also addresses other potential markets that can be enabled by NEP. This analysis is performed as a part of ESA's RocketRoll project, or "pReliminary eurOpean reCKon on nuclEar elecTric pROpuLsion for space appLications".