Teoria DA Perturbacao Do Dominio No Equilibrio Estatico de Massas Em Rotacao (Domain Perturbation Method in the Static Equilibrium of Masses in Rotation)

摘要

The effects of slow rotation on the static equilibrium of two heterogeneous and immiscible concentric masses are determined. Due to slow rotation, the centrifugal force will be much smaller than the gravitational force. Thus, mu sq, could be considered a small magnitude parameter in the domain perturbation method. The results obtained through this theory show the internal and external boundaries with different oblateness. Besides, the gravitational potential and the pressure are independent of rotation up to terms of the order of mu sq.