Linearization: Laplace vs. Stiefel

@article{Deprit1994LinearizationLV,
  title={Linearization: Laplace vs. Stiefel},
  author={A. Deprit and Antonio Elipe and Sebasti{\'a}n Ferrer},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={1994},
  volume={58},
  pages={151-201}
}
The method for processing perturbed Keplerian systems known today as the linearization was already known in the XVIIIth century; Laplace seems to be the first to have codified it. We reorganize the classical material around the Theorem of the Moving Frame. Concerning Stiefel's own contribution to the question, on the one hand, we abandon the formalism of Matrix Theory to proceed exclusively in the context of quaternion algebra; on the other hand, we explain how, in the hierarchy of hypercomplex… 
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