The harmonic development of the tide-generating potential
The harmonic development of the tide-generating potential
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DOI：
10.1098/rspa.1921.0088
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发表时间：
1921-12-01
期刊：
影响因子：
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通讯作者：
Doodson, AT
中科院分区：
文献类型：
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作者：
Doodson, AT
潮汐产生潜力的和谐发展是大多数潮汐观测工作的基础，自1883年以来，g.h.达尔文爵士给出的发展已被普遍使用，并具有显著的价值。但预测和观测之间的差异是严重的，并被归因于错误的“调和常数”；人们认为，如果这些改进了，就会得到更好的预测，而且人们也默认，只需要考虑达尔文给出的谐波成分。然而，最近的工作，特别是潮汐研究所的工作表明，当所有的“达尔文成分”都从潮汐高度中移除时，剩下的成分不包括在他的时间表中。因此，通常得到的“常数”的任何微小改进都是可以忽略不计的。因此，显然的方法是对势进行更彻底的开发，鉴于残差的未知性质，显然需要很高的精度，特别是考虑到共振的可能性。本文给出的发展，即使对实际潮汐工作来说是不必要的彻底，也将涵盖研究工作的需要，因为它包括了系数（相对于最大系数）大于0.00010的所有项。
The harmonic development of the tide-generating potential is the basis of most work on tidal observations, and since 1883 the development given by Sir G. H. Darwin has been universally used and has been of remarkable value. But discrepancies between prediction and observation are serious and have been attributed to faulty “harmonic constants”; it has been assumed that if these were improved better predictions would be obtained, and it has also been tacitly assumed that it is only necessary to consider the harmonic constituents as given by Darwin. Recent work, however, especially at the Tidal Institute, has shown that when all the “Darwinian constituents” are removed from the tidal height there is a residue composed of constituents which are not included in his schedules. These are such that any slight improvements possible in the “constants” usually obtained are comparatively negligible. The obvious course, therefore, was to make a more thorough development of the potential, and in view of the unknown nature of the residues great accuracy was obviously desirable, especially as the possibility of resonance has always to be considered. The development given in this paper, even if it proves to be needlessly thorough for practical tidal work, will cover the needs of research work, since it includes all terms whose coefficients (relatively to the greatest coefficient) are greater than 0·00010.