ABSTRACT Finite deformation of Elastic rotating solid spheres of blatz-ko material are studied in this research work. The analysis resulted into non-linear boundary value problem governed by non-linear partial differential equations for the displacements. An asymptotic method of solution is employed for the solution of equations. The method assumes a trial solution for the displacements in a particular space. Here, the Sobolev space of order two is used. The resulting error is minimized in...