Analytical and Numerical Methods of Dynamics Investigation of Vehicles Described by Vortex Models

Abstract

In the first two chapters we discussed two classes of stabilized objects whose mathematical models are close to each other in a certain sense. These models are used throughout the book as a tool for the analysis of dynamic properties of vehicles described by them, those properties being determined from both experimental research and mathematical simulation of perturbed motion. But before proceeding to direct usage of those models, it is necessary to consider some purely mathematical aspects and introduce some additional constraints. This problem as well as analytical and numerical methods of appropriate equations solution are the contents of this chapter.

There is no certainty in sciences, where none of the mathematical sciences can be applied or which are not in relation with these mathematics.

Leonardo da Vinci

The literary works of Leonardo da Vinci compiled and edited from the oroginal manuscripts by Jean Paul Richter and Irma Richter. Oxford University Press. London — New York — Toronto, 1939, Vol. 2, p. 241.