Stability of four-body kite central configurations

Central configurations provide the only closed-form analytical solutions of the n-body problem. All possible central configurations of three bodies have been extensively studied along with the stability of the associated periodic orbits. Stable cases have been found for the Lagrangian triangle configuration, which we see occurring with the...

The Analytical Mechanics of Consumption: In Mechanical and Economic Systems

The Utility Lagrangian and the Surplus Hamiltonian in economic engineering do not depend on consumption.<br/>Two theories are proposed to include the effect of consumption in the Utility Lagrangian and the Surplus Hamiltonian. The second of these two theories resolves the dissipation obstacle in port-Hamiltonian systems as an additional result....

A Hamiltonian Reduction Method for Nonlinear Dynamics

Nonlinear analysis of dynamic problems has become important for modern industrial design applications. The increasing pressure on airlines to decrease fuel costs demands the design of more efficient aircraft. This requires aircraft manufacturing companies to design lighter structural components. The result is the need for more realistic and...