Abstract

The Chapman and Miller (fixed lunar age) and Bartels and Johnston (fixed solar hour) methods of analysis of lunar tides are discussed. It is shown that the standard version of the Chapman and Miller analysis neglects some terms that may be important in geomagnetic variations. In particular, the neglect of the term corresponding to p = 0 may lead to serious errors in the determination of night time tides. An adaptation of the fixed solar hour method using differences between successive readings is described which, with some additional assumptions, allows more fully for non-cyclic variations. The application of the method is illustrated by some numerical examples which demonstrate the importance of the terms neglected in the standard Chapman and Miller method.

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