In mathematical physics, the Moser regularization is a method to transform the flow of the Kepler problem, meaning the motion of celestial bodies, into a geodesic flow on the sphere using the Moser (regularization) map. Both are named after Jürgen Moser, who introduced them in 1970.
Moser map Similar to the stereographic projection, the Moser map is given by:Frauenfelder & van Koert 2018, S. 53-54
Properties
The Moser map is a symplectomorphism.Heckmann & de Laat 2010, Corollary 2.4
See also
Levi-Civita regularization, based on the real Hopf fibration Kustaanheimo–Stiefel regularization, based on the complex Hopf fibration Ligon–Schaaf regularization
Literature
References