Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)
Systems and Control
2026-02-27 v2 Systems and Control
Abstract
We demonstrate that the error dynamics of a thrusting spacecraft are nearly group affine on the Lie group, and the nonlinearity can be bounded, or removed with the application of a dynamic inversion control law. A numerical example validates the results by showing agreement between the error predicted by the log-dynamics and the error obtained from classical integration of trajectories using Newtonian dynamics. The result clarifies how thrusting spacecraft dynamics fit within the invariant systems framework.
Keywords
Cite
@article{arxiv.2512.05888,
title = {Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)},
author = {Micah K. Condie and Abigaile E. Woodbury and Li-Yu Lin and Kartik A. Pant and Michael Walker and James Goppert},
journal= {arXiv preprint arXiv:2512.05888},
year = {2026}
}