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Variational approach to the problem of free oscillations of the Earth Abstract We aim at a correct use of the variational approach to the problem of free oscillations of the Earth. A spherical symmetric Earth model is treated as an important case. We prove well known facts concerning the existence of torsional and spheroidal oscillations. Possibly, the method of proof is interesting in itself. The numerical implementation of the variational approach and problems arising in this procedure are illustrated with an example of a homogeneous sphere. We demonstrate the importance of the adequate choice of base vectors in the Ritz method; only a basis chosen properly can ensure stability and efficiency of calculations Back to |