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Showing 1 to 4 of 4 for “"Udwadia-Kalaba"”.
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Foundations of the Geometric Mechanics Udwadia-Kalaba Framework for Rigid Body Constrained Motion Analysis
… extended to different dynamical frameworks. The Udwadia-Kalaba (UK) formalism for the constrained motion analysis of a point mass is a well-documented and applied methodology. Here, UK formulation is generalized to the dynamics of rigid bodies on nonlinear manifolds in the geometric mechanics …
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Constrained Motion Analysis of Spacecraft Trajectory in Restricted Three Body Problem
… desired trajectory. This thesis introduces the Udwadia-Kalaba (UK) formulation of constrained dynamics as applied to the restricted three-body problem of the Sun-Earth-Spacecraft. A dynamic model of the restricted three-body system is presented to analyze the unconstrained motion of spacecraft. …
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Fuel Efficient Control Design and Constrained Motion Analysis for Spacecraft Coulomb Formation in Elliptic Chief Orbits
… constraint accelerations obtained using the Udwadia-Kalaba equations for constrained motion. Due to the effects of plasma shielding, a Debye length model is incorporated in the nonlinear dynamics as a linear function of altitude of the formation's center of mass. The integrated thruster …
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Constrained Motion Analysis and Control of Spacecraft Asteroid Hovering with Formulation Extension in Geometric Mechanics Framework
… spacecraft hovering over an asteroid, where the Udwadia-Kalaba (UK) formulation is applied for nominal control, and an adaptive controller is developed to account for unknowns in the dynamics. Then, the formulation is extended in the geometric mechanics framework to account for rigid body …