Unified formulation for stationary polytropes with stellar winds and development of a numerical scheme to obtain their structures

我们发现了一个新的公式，在这个公式中，带磁场的正压星的轴对称和定态很容易处理。这是通过考虑基本方程之间的可积性条件来实现的。这种可积性条件导致了电流密度的一般形式。通过应用这一公式，我们发展了一种数值格式，可以用来获得世界上第一次用这种格式发现的具有磁场的许多静止组态。同时，该公式还可以应用于尚未得到充分分析的恒星风解。利用该格式，还得到了三轴构型和长椭球定常结构的全新解析解。

We have found a new formulation in which axisymmetric and stationary states of barotropic stars with magnetic fields are easily handled. This has been done by considering the integrability condition among the basic equations. This integrability condition results in the general form for the current density. By applying this formulation we have developed a numerical scheme that could be used to obtain many stationary configurations with magnetic fields which are found by this scheme for the firt time in the world. At the same time, this formulation could be applied to obtain stellar wind solutions which have not been fully analyzed yet. By using this scheme, completely new analytic solutions for triaxial configurations and prolate ellipsoidal stationary structures have also been obtained..