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XXI.—On the Path of a Rotating Spherical Projectile

Published online by Cambridge University Press:  06 July 2012

Tait
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Extract

The curious effects of rotation upon the path of a spherical projectile have been investigated experimentally by Robins and many others, of whom Magnus is one of the more recent. They have also been the subject of elaborate mathematical investigation, especially by Poisson, who has published a large treatise on the question. For all that, we know as yet very little more about them than Newton did in 1666, when he made his famous experiments on what we now call dispersion.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 37 , Issue 2 , 1895 , pp. 427 - 440
Copyright
Copyright © Royal Society of Edinburgh 1895

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References

page 427 note * Recherches sur le Mouvement des Projectiles dans l'Air. Paris, 1839Google Scholar.

page 427 note † Isaaci Newtoni Opera quæ exstant Omnia (Horsley), vol. iv. p. 297Google Scholar.

page 427 note ‡ New Principles of Gunnery (new edit.), 1805, p. 206. The paper referred to is stated to have been read to the Royal Society in 1747.

page 428 note * “The true Principles of Gunnery investigated and explained, comprehending translations of Professor Euler's Observations, &c. &c.” By Hugh Brown. London, 1277 (sic).

page 428 note † Poisson, in fact, says of his own results:—“Néanmoins, d'apres la composition de la formule qui exprime la déviation horizontale à la distance du canon où le boulet retombe sur le terrain, on reconnaît facilement que cette déviation ne peut jamais être qu'une très petite fraction de la longeur de la portée; en sorte que ce n'est pas au frottement de la surface du boulet contre la couche d'air adjacente et d'inégale densité, que sont dues principalement les déviations observées, ainsi que Robins et Lombard l'avait pensé.” Mémoire sur le Mouvement des Projectiles, &c. Comptes Rendus, 5 Mars, 1838, p. 288.

page 429 note * Über die Abweichung der Geschosse, Berlin Trans., 1852.

page 430 note * “The Unwritten Chapter on Golf,” Nature, 22/9/87; and “Some Points in the Physics of Golf,” Ibid., 28/8/90, 24/9/91, 29/6/93. Also a popular article “Hammering and Driving,” Golf, 19/2/92; where the importance of underspin is considered, mainly from the point of view of stability of motion of a projectile which is always somewhat imperfect as regards both sphericity and homogeneity.

page 430 note † “On the Motion of Projectiles,” 2nd edn., London, 1890Google Scholar.