A recent paper by one of the authors presented a new formula found experimentally for the shape of the free surface of stable vortices. In this paper we show that the given shape is the concave spinning top with the minimum moment of inertia. A new variation method is used to find this shape, since no existing method seems to cope with the Lagrangian involving r(z)4, inequality constraints and the solution with r(0) = infinity. In the process we find spinning tops with the minimum moment of inertia under various constraints.
Comments: 19 Pages.
[v1] 2016-12-13 07:37:54
Unique-IP document downloads: 52 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.