Paper, 'On the mathematical expression of complex periodical phenomena, and on planetary influence on the Earth's magnetism' by Charles Chambers and Frederick Chambers

Description

The authors propose in this paper to determine, by Bessel’s method, a mathematical expression for a periodical phenomenon from observations which are affected by one or more other periodical phenomena, and to find criteria for judging of the extent to which the expression is affected by these other phenomena: to find also the true period from observations of a single periodical phenomenon of which the period is only approximately known; or, having found an expression for a period of known approximation to the truth, to find from it the expression for the true period. In the course of these inquiries, certain ambiguities which affect similarly Bessel’s expression for a single periodic phenomenon and the results here arrived at are remarked upon; and, finally, the results are applied to determine the nature of periodic planetary phenomena in a particular case.

Marked on front as 'Archives Jan 7/75'. Includes a letter dated 23 March 1875 in which the authors respond to the comments of the Royal Society's referees on the paper.

Subject: Mathematics / Magnetism

Received 26 May 1873. Read 19 June 1873.

A version of this paper was published in volume 165 of Philosophical Transactions as 'On the mathematical expression of observations of complex periodical phenomena; and on planetary influence on the earth's magnetism'.

Reference number

AP/58/2

Earliest possible date

1873-1875

Physical description

Ink and graphite pencil on paper

Page extent

45 pages

Format

Manuscript