43 citations · 48 across the 2 of their papers we have counts for
2 papers
math.DS2023★ 5 cited
Hamel's Equations and Geometric Mechanics of Constrained and Floating Multibody and Space Systems
Andreas Mueller
Modern geometric approaches to analytical mechanics rest on a bundle structure of the configuration space. The connection on this bundle allows for an intrinsic splitting of the re…
math.DG2023★ 43 cited
Review of the Exponential and Cayley Map on SE(3) as relevant for Lie Group Integration of the Generalized Poisson Equation and Flexible Multibody Systems
Andreas Mueller
The exponential and Cayley map on SE(3) are the prevailing coordinate maps used in Lie group integration schemes for rigid body and flexible body systems. Such geometric integrator…