标识行星会合或排成直列程度的方法,是分析行星系统与太阳活动关系的关键.两颗行星会合可以给出准确的会合周期.行星越多获得准确的会合周期就越困难.以往表达多个行星排成近似直列的方法多采用I指数,I取值在0和1之间.但I指数无法呈现多个行星排成直列程度的连续变化过程,也无法区分行星在I指数构成中是位于太阳一侧还是分居在太阳两侧,更无法确定行星系质心与太阳位置关系的变化.K指数是将8大行星轨道半径按质量权重构成的矢量和的模除以一个天文单位的距离长度.K取值在0和7.5105之间.研究表明,行星引潮力会合指数KJ-M具有指代对太阳造成引潮力和引力周期规律的作用.行星质量权重会合指数KJ-N具有指代行星系质心绕太阳系质心的运动规律,进而指代太阳绕太阳系质心的运动规律.这为进一步探讨太阳轨道运动和太阳活动关系研究提供一种有效方法.
It is key methods of analyzing relations between planetary system and the Sun's activity to indicate the degree of planet conjunction or arrangement in array. With respective to two planets, their accurate conjunction cycle can be calculated. It is more difficult to get the accurate conjunction cycle with the increasing number of planets. In previous period, planet alignment index (I) was usually applied to describe multi- planets in approximate array and this index ranges from zero to one. The I-index cannot present the continuous variation of more than one planets in array, cannot differentiate the location of the planet (in the same side of the Sun or both sides of the Sun), and even cannot determine the variation of the planetary system mass center relative to the Sun. The planets- conjunction index (K) was defined as the ratio of the module of vector sum composed of the eight planets' orbital radius with the mass as the weights and the distance of one astronomical unit length, and this index ranges from zero to 7. 5105. It has been suggested planets-conjunction index of tidal force (KJ-M) could indicate the planetary influence of the tidal generating force as well as its cycle variation. The planets-conjunction index with mass weights (KJ-N) could indicate the moving pattern of the planetary system mass center around the solar system mass center and thus indicate the moving pattern of the Sun around the solar system mass center. This could provide an effective method to investigate the relations between the Sun's orbital motion and the Sun's activity.