Linearization: Laplace vs. Stiefel

DOI10.1007/BF00695790zbMath1446.70029OpenAlexW2094214751MaRDI QIDQ2210914

Antonio Elipe, André Deprit, Sebastián Ferrer

Publication date: 9 November 2020

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00695790

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (16)

A new set of integrals of motion to propagate the perturbed two-body problem ⋮ Quaternion methods and models of regular celestial mechanics and astrodynamics ⋮ The theory of asynchronous relative motion. I: Time transformations and nonlinear corrections ⋮ The theory of asynchronous relative motion. II: Universal and regular solutions ⋮ Note on the ideal frame formulation ⋮ DROMO formulation for planar motions: solution to the Tsien problem ⋮ Element sets for high-order Poincaré mapping of perturbed Keplerian motion ⋮ Explicit symplectic integrator for highly eccentric orbits ⋮ Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction ⋮ Uniform formulation for orbit computation: the intermediate elements ⋮ The Lissajous-Kustaanheimo-Stiefel transformation ⋮ The Kepler problem: the energy point, the Levi-Civita, the Burdet and the KS regularizations via the primigenial sphere ⋮ Kustaanheimo-Stiefel transformation with an arbitrary defining vector ⋮ Methods for the Study of the Dynamics of the Oort Cloud Comets II: Modelling the Galactic Tide ⋮ Reduction and regularization of the Kepler problem ⋮ Orbit propagation in Minkowskian geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the connection among three classical mechanical problems via the hypercomplex KS-transformation
• The Lissajous transformation. IV: Delaunay and Lissajous variables
• Regularization of the two body problem
• Theory of Kepler motion: The general perturbed two body problem
• A noncanonical analytic solution to theJ 2 perturbed two-body problem
• A transformation of the two-body problem
• Scaling Hamiltonian Systems
• On reduction of two degrees of freedom Hamiltonian systems by an S1 action, and SO(1,2) as a dynamical group
• A general canonical transformation increasing the number of variables with application to the two-body problem
• Geometrical and physical outlook on the cross product of two quaternions
• An algebraic and geometric approach to non-bijective quadratic transformations
• Kustaanheimo-Stiefel Regularization and nonclassical canonical transformations
• Concerning the regularizing KS-transformation
• The KS-transformation in hypercomplex form
• Perturbation theory of Kepler motion based on spinor regularization.
• Le mouvement Keplerien et les oscillateurs harmoniques.
• Regularization of kepler's problem and the averaging method on a manifold
• Remarks on numerical integration of Keplerian orbits
• On nonclassical canonical systems

This page was built for publication: Linearization: Laplace vs. Stiefel