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An Angular Momentum and Energy Conserving Lie Group Integration Scheme for Rigid Body Rotational Dynamics Originating From Stأ¶rmer–Verlet Algorithm
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents two novel second order conservative Liegroup geometric methods for integration of rigid body rotational dynamics. First proposed algorithm is a fully explicit scheme that exactly conserves spatial angular ...
Lie Group Forward Dynamics of Fixed-Wing Aircraft With Singularity-Free Attitude Reconstruction on SO(3)
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper proposes an approach to formulation and integration of the governing equations for aircraft flight simulation that is based on a Lie group setting, and leads to a nonsingular coordinate-free numerical integration. ...