摘要
行星对太阳的引潮力作用与太阳黑子变化的关系一直存在着争议.争议存在的原因是多方面的,其中缺乏准确系统的八大行星对太阳引潮力的合力时间变化序列是一个重要部分.本文在行星系统对太阳引潮力合力的计算公式和方法上做出改进,计算既考虑引潮力对称分布特征又考虑行星轨道偏心率影响的八大行星对太阳引潮力矢量和,获得了其在1700—1999年间的变化序列.行星对太阳的引潮力矢量和与太阳黑子相对数时间序列具有非线性、非平稳特性,因此利用聚合经验模态分解方法(Ensemble Empirical Mode Decomposition,EEMD)分解两序列,并分析它们分解出的一系列本征模态函数(Intrinsic Mode Functions,IMFs)周期的对应性以及相关性.结果显示:太阳黑子的约0.34 a、约0.71 a、约1.15 a周期以及Schwabe周期、Hale周期、Double-Hale周期、Gleissberg周期、Suess周期都能在太阳引潮力中找到近似对应的周期;互相关分析表明太阳黑子的Schwabe周期、Hale周期、Gleissberg周期、Suess周期的IMF分量与引潮力相似周期的IMF分量均呈显著正相关(P<0.01),相关系数分别可达0.329、0.272、0.637、0.949,表明行星对太阳的引潮力可能是太阳黑子形成与变化的一个影响因子;但是两序列周期的方差贡献率所占密度差异较大,行星引潮力的亚年~年际尺度周期所占比重较高,而太阳黑子相对数年代际尺度周期所占比重较高,显示行星对太阳的引潮力不是太阳黑子形成和变化的主要驱动因子.
The relationship between the solar tidal force induced by the planets and the sunspot activity has been controversial. There are many reasons for the controversy,and one of the important reasons is the lack of precise time series of planetary tidal forcing at the solar surface. In this paper, the calculation formulas and methods have been improved. The vector sum of the planetary tide force on the Sun from 1700 to 1999 is calculated,which considers both the symmetrical distribution characteristics and the influence of the orbital eccentricity. The time series of planetary tidal force on the Sun and sunspot are non-linear and non-stationary,so we choose to analyze the period correspondence and correlation of the Intrinsic Mode Functions( IMFs) decomposed by the two sequences based on Ensemble Empirical Mode Decomposition( EEMD). The results show that the solar tidal force induced by the planets has many cycles corresponding to the sunspots,for example,about 0. 34-year cycle,about 0. 71-year cycle,about 1. 15-year cycle,the Schwabe cycle,the Hale cycle,the Double-Hale cycle,the Gleissberg cycle and the Suess cycle. Cross-correlation analysis shows that the IMFs of sunspots which have Schwabe cycle,Hale cycle,Gleissberg cycle or Suess cycle are significantly positive correlated with the corresponding IMFs of the planetary tide force on the Sun( P <0. 01). The cross-correlation coefficients are 0. 329, 0. 272,0. 637,0. 949,respectively. And the variation of the planetary tidal force on the Sun is ahead of that of the sunspot. It indicates that the tidal force due to the planets may be influencing factors forthe formation and change of sunspots. However,the proportions of the variance contribution rates of the two sequences with different scale periods are quite different. The planetary tidal force on the Sun has a higher proportion of the sub-annual to inter-annual scale periods,and the sunspots have a higher proportion of the interdecadal scale periods. It shows that the tidal force due to the planet system is not the main driving factor for the formation and change of sunspots.
作者
王琳琳
孙威
王建
王婕
WANG LinLin;SUN Wei;WANG Jian;WANG Jie(School of Geography,Nanjing Normal University,Nanjing 210023,China;Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application,Nanjing 210023,China;School of Mathematic Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201600,China;School of Resources and Environment,Anqing Normal University,Anqing 246133,China;School of Urban and Resources and Environment,Jiangsu Second Normal University,Nanjing 211200,China)
出处
《地球物理学进展》
CSCD
北大核心
2021年第2期499-507,共9页
Progress in Geophysics
基金
国家自然科学青年基金(41807437)
江苏高校优势学科建设工程资助项目(164320H116)联合资助.
关键词
引潮力
聚合经验模态分解
太阳黑子
周期
互相关
Tidal force
Ensemble Empirical Mode Decomposition(EEMD)
Sunspot
Cycle
Correlation
