Spherical harmonic analysis of geomagnetic tides, 1964-1965

Spherical harmonic analysis of geomagnetic tides, 1964-1965
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地磁潮汐的球谐分析,1964-1965

DOI:
10.1098/rsta.1981.0193
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发表时间:
1981
期刊:
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
影响因子:
--
通讯作者:
D. Winch
D. Winch
中科院分区:
--
文献类型:
--
作者:
D. Winch

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回顾了17位不同作者在分析SQ和L时所选择的数学形式。在回顾的基础上,考虑了电离层发电机理论和高层大气风速的Hough函数结构,选择了一个比Malin(1973)最近的分析多包含两个项的数学模型。130个地磁观测站1964年和1965年的IQ.S.Ys(国际平静太阳年)的小时平均值以机器可读的形式编制并进行了分析。计算了太阳和月球的瞬变磁变化,以及月球椭圆磁潮和所有磁潮一年一周和两周的季节变化。对相律潮汐和较小部分潮汐进行了球谐分析。共对10种不同的磁潮进行了94种不同的球谐分析。十个潮汐中有两个是太阳磁潮和月球磁潮,通常分别表示为S和L。结果以一种区分东移项和西移项的形式列出,这适用于评估内外部分的相角差和幅值比。马林的海洋发电机计算已经应用于月球和月球椭圆磁潮。球谐系数与Malin(1973)关于太阳黑子高活动年份的球谐系数作了比较详细的比较。从理论上推导了与给定大气潮汐模式相关的磁潮位势,并将其用于从相应的磁潮位势估计电离层水平的太阳和月球半日大气潮汐的Hough函数分量。
The mathematical forms chosen for analyses of Sq and L by seventeen different authors are reviewed. On the basis of the review and on consideration of the ionospheric dynamo theory and the Hough function structure of wind velocities in the upper atmosphere, a mathematical model is chosen that includes two more terms than the recent analysis by Malin (1973). Hourly mean values from 130 magnetic observatories for the I.Q.S.Ys (International Quiet Solar Years) 1964 and 1965 were prepared in machine-readable form and analysed. The solar and lunar transient magnetic variations were evaluated, together with the lunar elliptic magnetic tide and the seasonal change at one and two cycles per year for all magnetic tides. Spherical harmonic analyses were made of the phase-law tides and the smaller partial tides. Altogether 94 different spherical harmonic analyses were completed for a total of ten different magnetic tides. Two of the ten tides are the solar and lunar magnetic tides usually denoted S and L respectively. The results are tabulated in a form that distinguishes between eastward- and westward-moving terms, which is suitable for the evaluation of phase angle differences and amplitude ratios between internal and external parts. Malin’s ocean dynamo calculation has been applied to the lunar and lunar elliptic magnetic tides. The spherical harmonic coefficients are compared in some detail with those of Malin (1973) for years of high sunspot activity. The magnetic tidal potential associated with a given atmospheric tidal mode is derived theoretically and used to obtain an estimate of the Hough function components of the solar and lunar semi-diurnal atmospheric tides at ionospheric levels from the corresponding magnetic tidal potential.