非同步转动双星系统洛希势函数的研究

The investigation of potential function in the asynchronous rotational binaries

根据非同步转动的洛希势函数数值计算了洛希瓣的大小、3个拉格朗日点的位置和无量纲的势函数ξ的大小,并与同步转动的洛希模型计算的结果做了对比.结果发现:转动离心力能最大减少赤道附近的重力加速度.非同步转动可以明显地改变洛希瓣的大小,3个拉格朗日点的位置和势函数,影响双星系统物质交换的时间和发生外拉格朗日点L2的物质损失.因此,非同步洛希势函数的计算对密近双星的演化研究具有重要意义.

The Roche lobe, three Lagrangian points and the corresponding Roche potentials are calculated according to the asynchronous rotational Roche potential. The results are compared with the one which derived from the synchronous rotational Roche potential. It is found that the centrifugal force greatly reduces the gravitational acceleration at the equator. The asynchronous rotation has an obvious influence on the Roche lobe, the positions of three Lagrangian points, mass overflow from the outer Lagrangian L2 and the time of mass overflow. Therefore, it is very important significant to calculate the asynchronous rotational Roche potential in the close binaries.