Unpublished paper, 'The problem of three bodies' by Charles James Hargreave
Reference number: AP/41/3
Date: 1858

Description
Hargreave 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'.
- Reference number
- AP/41/3
- Earliest possible date
- 1858
- Physical description
- Ink and graphite pencil on paper
- Page extent
- 180 pages
- Format
- Manuscript
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Citation
Charles James Hargreave, Unpublished paper, 'The problem of three bodies' by Charles James Hargreave, 1858, AP/41/3, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_41_3/unpublished-paper-the-problem-of-three-bodies-by-charles-james-hargreave, accessed on 07 February 2025
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Related Publications
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I. On the problem of three bodies External link, opens in new tab.
Date: 31st December 1859
DOI: 10.1098/rspl.1857.0063
Related Records
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Referee's report by George Biddell Airy, on a paper 'On the problem of three bodies' by Charles James Hargreave
Creator: George Biddell Airy Reference number: RR/3/127 -
Referee's report by Arthur Cayley, on a paper 'On the problem of three bodies' by Charles James Hargreave
Creator: Arthur Cayley Reference number: RR/4/120
Hierarchy
This item is part of:
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Archived papers: volume 41, scientific papers submitted the Royal Society unpublished or abstracted, 1858
1858 Reference number: AP/41
Related Fellows
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Charles James Hargreave
Author
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Archived Papers
Dates: 1768-1989
The 'Archived Papers' collection is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.View collection