A method for attaching a heat-emitting device and a capillary heat pipe to a panel of a spacecraft wall is disclosed including the steps of: a) positioning a capillary heat pipe on a portion of the panel; attaching female attachment bodies to the panel, the female attachment bodies protruding relative to the capillary heat pipe; c) placing a thermally-conductive and self-curing paste over a portion of the capillary heat pipe or over a heat-emitting device; d) placing a heat-emitting device on the thermally-conductive and self-curing paste and on the female attachment bodies, said heat-emitting device bearing against and being in direct contact with the female attachment bodies, and e) attaching the heat-emitting device and said capillary heat pipe to the panel by attaching male attachment members to the female attachment bodies.