在近距双星系统中同步双星达到轨道圆形化时的轨道和自转演化的数值解和演化趋势

Numerical Solutions and Evolutionary Trends of the Orbit and Rotation of a Synchronous Binary-Star System at the Orbital Circularization Time

从非同步自转双星的轨道和自转的演化方程组推出同步双星的轨道和自转的演化方程组。用数值积分法给出演化方程组的数值解。计算同步自转双星EKCep达到轨道圆形化的时间和那时的轨道半长轴、轨道偏心率和主星自转角速度的演变数值。最后对轨道和自转的演化趋势做了推论。

This paper derives a set of equations for the orbit and self-rotation of a synchronous binary-star system from the set of equations for non-synchronous binary stars. The numerical solutions of the equations as derived are subsequently given by using a numerical method. The circularization time, and the numerical values of the orbital semi-major axis, eccentricity, and the rotational angular velocity together with other parameters at that time are calculated for the synchronous binary-star system EKCep. The paper finally makes certain colollaries about the evolutionary trends of the orbit and self-rotation of the system.