The geometry of the Kustaanheimo-Stiefel mapping
Richard Cushman
TL;DR
This paper explores the geometric properties of the Kustaanheimo-Stiefel mapping, a mathematical transformation that simplifies the Hamiltonian of the Kepler problem, building on previous foundational work.
Contribution
It provides a detailed geometric analysis of the Kustaanheimo-Stiefel mapping, enhancing understanding of its structure and properties in celestial mechanics.
Findings
Clarifies the geometric structure of the Kustaanheimo-Stiefel mapping
Connects the mapping to Hamiltonian regularization techniques
Builds on and extends previous foundational work
Abstract
This paper details the geometry of the Kustaanheimo-Stiefel mapping, which regularizes the Hamiltonian of the Kepler problem. It leans heavily on the work of J.-C. van der Meer.
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Taxonomy
TopicsMathematics and Applications