3D multi-pendulum model of slosh dynamics in a spacecraft

Abstract

This paper presents a three-dimensional model for maneuvering of a spacecraft with unactuated fuel slosh dynamics, and uses Lagrangian for multi-pendulum analogy to obtain a mathematical model. Using of multi-pendulum model could be the best way for characterize the most fluid sloshing modes. Also, whole the fuel in the container is modeled by a fixed mass and two sloshing masses.