太阳轨道运动恒星周期的证明及其与太阳活动周的对应关系

Verification for the sidereal period of Sun's motion and its corresponding relationship with solar cycles

基于刘复刚和王建(2013)创建的行星会合指数(K),已经给出了太阳绕太阳系质心的运动轨迹,并得到其恒星周期为准22年.这一恒星周期是根据行星系统中按各自行星质量权重求得的23.77208年周期与通过图像获得的19.8585年行星会合周期的平均值得到的.因为各行星的周期都是恒星周期,故本文通过对K2函数求导方法得到的23.36886年周期也是恒星周期,它与23.77208年周期近似相等,这进一步证实太阳轨道运动恒星周期与由行星系统质心运动所指代的会合周期不同,二者之差异可能与坐标系的选择有关.顾及太阳质心的动与不动两种情况,选取其平均值22.33年作为太阳轨道运动的恒星周期.结果发现,这一周期与太阳活动22.20年磁周期一致.这表明通过修正后的太阳轨道运动特征图像可以近似预测太阳活动和相应时间尺度的气候变化.

The planetary synodic index（K）was created（Liu F G Wang J,2013）,based on it,the quasi-22 yr sidereal period of the Sun＇s motion round the mass center of solar system was given.It＇s the average of 23.77208 years calculated by weight function of quality and 19.8585 years according to the image of the planetary synodic index.Since every planetary cycle is the sidereal period,so we also obtained the sidereal period of 23.36886 years by taking the derivatives of the function K2.The results of two methods are almost the same.That offers a new perspective to confirm the difference of synodic period between the sidereal period of the Sun＇s trajectory and the path of planetary system mass center,the internal connection between the two is which coordinates you use.So on the basis of the two cases that whether the sun＇s mass center moves,we take their average which is 22.33 years as the sidereal period of orbital motion of Sun,and we find that the result agrees well with the 22.20 years magnetic cycle.This shows that by revising the feature image of Sun＇s orbital motion,it is possible for us to predict solar activity and climate change with the corresponding time scale.