太阳内部离心力对内部径向和纬向较差自转的摄动影响

Perturbation Influence of the Centrifugal Force on the Radial and Altitude Differential Rotation in the Solar Interior

摘要: 研究了太阳内部离心力对太阳内部径向和纬向较差自转的摄动影响。给出了内部摄动力对较差自转影响的积分式。利用太阳多方模型理论推出了从太阳表面到径向 的深度处在内部自转角速不变的情况下离心力对较差自转的摄动影响因子Q，摄动因子Q为多方模型函数以及纬度Φ和径向r或深度H的函数。利用所推出的理论式子计算出由太阳表面向下深度 和 以及内部纬度0˚，45˚，60˚，75˚，90˚在该处的离心力对内部径向和纬向较差自转影响因子Q的数值。数值结果列入表1。最后讨论了给出的理论和数值的结果。

Abstract: Perturbation influence of the centrifugal force on the radial and latitude differential rotation in the solar interior is studied. The integral formula for influence of the perturbation force on the differential rotation is given. The influence factor of the differential rotation at under the solar rotational velocity as a constant by using a solar polytropic model is derived. The per-turbation factor Q is the functions of polytropic model and internal latitude, radial r or depth H. The numerical values of the perturbation factors for influence of the centrifugal force on the internal radial and latitude differential rotation at the depths , and the latitudes 0˚, 45˚, 60˚, 75˚, 90˚ are calculated. The numerical results are listed in Table 1. The numerical and theoretical results are discussed.