Mathematical modeling of spacecraft

Abstract

A lecture series devoted to the Dynamics of Flexible Spacecraft is concerned not with a single problem but with a family of related problems. Accordingly, there is not a single correct approach to solution, but a spectrum of methods to be applied to a family of spacecraft idealizations. Although analysts will differ in their preference for various ways of formulating equations, one man choosing Lagrange’s equations, a second preferring Hamilton’s principle, and a third relying upon a Newton-Euler formulation, these differences are much less fundamental than the initial choice of a mathematical model of the vehicle.

Lectures 1 through 9 by Likins are based largely on work sponsored by NASA, through either the Jet Propulsion Laboratory or Marshall Space Flight Center. Nomenclature for these lectures is listed following section 9, commencing on page 93.