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The Kepler system as a reduced 4D harmonic oscillator

  • Published:2015-06 Issue: Volume:92 Page:181-193
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

van der Meer J.C.

Funder

Spanish Ministry of Science

Fundación Seneca of the Autonomous Region of Murcia

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference35 articles.

1. Traiettorie singolari ed urti nel problema ristretto dei tre corpi;Levi-Civita;Ann. Mat. Pura Appl., Ser. III,1903

2. Sur la resolution qualitative du problème restreint du trois corps;Levi-Civita;Acta Math.,1906

3. Sur la régularisation du problème du trois corps;Levi-Civita;Acta Math.,1920

4. Spinor regularisation of the Kepler motion;Kustaanheimo;Ann. Univ. Turku. A,1964

5. Perturbation theory of Kepler motion based on spinor regularization;Kustaanheimo;J. Reine Angew. Math.,1965

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2. The flow method for the Baker-Campbell-Hausdorff formula: exact results;Journal of Physics A: Mathematical and Theoretical;2023-09-04

3. Reduction and regularization of the Kepler problem;Celestial Mechanics and Dynamical Astronomy;2021-07

4. Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman–Deprit coordinates;Celestial Mechanics and Dynamical Astronomy;2020-11-25

5. Exact solutions of D-dimensional Klein–Gordon oscillator with Snyder–de Sitter algebra;Journal of Mathematical Physics;2020-10-01
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