Mathematical Models of Stabilized Objects with Compartments Containing Vortex Low-Viscous Liquid

Abstract

With complication of flying vehicles with LPRE and their control systems, still sharper becomes the problem of affording their stability in the frequency range of natural oscillations of liquid fuel components partially filling the tanks. This relates to RC as well as SC. Conventionally a way of complete or, at least, partial solution of the problem is to apply more and more developed and complicated dampers of liquid oscillations. This, in turn, presents still higher requirements to adequacy of mathematical models describing the system case liquid perturbed motion.

In order to penetrate into the inner and further recesses of nature, it is necessary that both notions and axioms be derived from things by a more sure and guarded way; and that a method of intellectual operation be introduced altogether better and more certain.

Francis Bacon. Novum Organum, XVIII.

The Works of Francis Bacon, Baron of Verulam, Viscount St. Alban, and Lord High Chancellor of England. Collected and edited by James Spedding, M.A., of Trinity College, Cambridge; Robert Leslie Ellis, M.A., Late Fellow of Tr. Coll., Cambr.; Douglas Denon Heath, Barrister-at-Law; Late Fellow of Tr. Coll., Cambr. Vol. IV. Translations of philosophical works. Vol. I, London, 1870, p. 50