In this paper, I offer an explication of the notion of local explanation. In the literature, local explanations are considered as metaphysically and methodologically satisfactory: local explanations reveal the contingency of science and provide a methodologically sound historiography of science. However, the lack of explication of the notion of local explanation makes these claims difficult to assess. The explication provided in this paper connects the degree of locality of an explanans to the degree of contingency of the explanandum. Moreover, the (...) explication is shown to be compatible with the methodological need for a general consideration in the historiography of science. In this way, the explication satisfies the need to explicate an important notion, connects local explanations and contingency, and enables us to see how local explanations and general considerations can be connected. However, the explication also sheds critical light on many claims and expectations that are associated with local explanations and their satisfactoriness. (shrink)