Analytical Dynamics of Variable-Mass Systems
- Additional Document Info
- View All
Copyright 2017 by C. Bombardelli. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. The equations of motion for variable-mass systems are commonly assembled in part by adding reactive forces (that is, those terms that are a direct consequence of the mass variation) to other externally applied body and surface forces. A different approach is presented in this study, wherein the contributions from mass variation are naturally created from a proper kinematic development. Specifically, analytical dynamics is used to produce a few equivalent mathematical expressions, each of which is able to generate the governing equations of motion for variable-mass systems: one is similar to the Lagrange equations, another is similar to the Appell equations, and a third represents the Kane equations. The expressions allow one to apply the methods of analytical dynamics toward this class of systems.
Journal of Guidance, Control, and Dynamics
author list (cited authors)
complete list of authors