Abstract
By using energy equations, which are equivalent to fundamental equations and boundary conditions in free oscillation problems, we can get analytical expressions for partial derivatives of the free oscillation period with respect to changes of physical parameters within the earth. The self-gravitation of the earth is taken into account. The partial derivative method can reproduce the results for the M3 model by Landisman and others and the R1 model by Dorman and others satisfactorily well.
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