Reference numberAP/41/3
TitleUnpublished paper, 'The problem of three bodies' by Charles James Hargreave
DescriptionHargreave writes on the three-body problem, stating that the principal object of this memoir is to set forth two new methods of treating the dynamical equations by processes of variation of elements, differing from the ordinary processes of this nature principally in this particular, that the variations are represented in explicit terms of the elements themselves and of the time, and not through the medium of partial differential coefficients. It has been his object to render the processes as elementary as possible; and to preserve them in a rigorous form, by postponing all attempts at approximation until the formulae are actually applied to practical problems. The applications given in the paper comprise the circular and spherical pendulums, and the planetary and lunar theories, and a special theorem as to the movement of the plane of a planet’s motion under the influence of several other planets. The original normal problem which is taken as the basis, is that of motion about a fixed centre of force, where the force is directly as the distance.

Annotations in pencil throughout.

Subject: Mathematics / Mechanics

Received 3 May 1858. Read 17 June 1858.

Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 9 of the Proceedings of the Royal Society as 'On the problem of three bodies'.
Physical descriptionInk and graphite pencil on paper
Access statusOpen
Related materialDOI: 10.1098/rspl.1857.0063
Related records in the catalogueRR/3/127
Fellows associated with this archive
NA7600Hargreave; Charles James (1820 - 1866)1820 - 1866
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