TITLE: On the stability of the Lagrangian homographic solutions in a curved three-body problem on S^2 AUTHORS: R. Martinez Dept. de Matematiques, Univ. Autonoma de Barcelona Barcelona, Catalunya, Spain E-mail:reginamb@mat.uab.cat C. Simo Dept. de Matematica Aplicada i Analisi, Univ. de Barcelona Barcelona, Catalunya, Spain E-mail:carles@maia.ub.es ABSTRACT: The problem of three bodies with equal masses in S^2 is known to have Lagrangian homographic orbits. We study the linear stability and also a "practical" (or effective) stability of these orbits on the unit sphere. Preprint submitted to Discrete and Continuous Dynamical Systems, B, May 2011.