News | Published:

Societies and Academies

Nature volume 134, pages 190192 (04 August 1934) | Download Citation

Subjects

Abstract

DUBLIN Royal Irish Academy, June 11. W. B. MOBTON: The stability and oscillations of certain permanent arrangements of parallel vortices. The arrangements in question are those which formed the subject of an earlier paper, namely, any three vortices at the corners of an equilateral triangle and four, with a definite ratio of strengths, at the corners of a rhombus. The slightly disturbed motions are discussed, and the frequencies and modes of oscillation about the steady motions are determined. It is found that the triangular arrangement is stable when the centre of the vortices lies within the circle circumscribing the triangle and the rhombus when its acute angle exceeds a critical value, arc cos (l/\/3).

About this article

Publication history

Published

DOI

https://doi.org/10.1038/134190a0

Authors

    Comments

    By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

    Newsletter Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing