This thesis presents the development of an aeroelastic coupling model for a small space launch vehicle and its results. The thesis is divided in three parts. The first part presents theoretical and numerical tools that are needed to develop a fluid-solid interactions code. These tools are modal analysis, computational fluid dynamics and an imposed deformations code using UDF language of ANSYS Fluent, which is used to perform the aeroelastic analysis. The second part deals with static aeroelastic analysis of the launcher. The methodology is compared to other methods in the literature, and is validated using cases of flexible flat plate before being applied to the launcher case. It is shown that deformations caused by fluid pressure on the launcher are small for the steady state case and therefore pose no problems. The third part presents a dynamic aeroelastic analysis. Methodology is presented with its associated theory and details are provided to clarify complexities of parallel numerical computation. The solid is treated with a modal summation method that reduces very effectively computational costs by assuming small deformations. The solid is solved in time with a second-order explicit central differences method. Coupling is provided by interpolating between fluid and solid meshes by means of radial basis functions. A validation case featuring a flexible flat plate is then used and compared to theory and other FSI solvers commercially available. Results indicate that the launcher deformations remain small for gust of wind disturbances. Also, aerodynamic coefficients are only lightly affected. Damping provided by the air (physical aerodynamics) is low, so that observed vibrating frequencies are close to the predicted natural frequencies.