PERTURBED KEPLER PROBLEM IN GENERAL RELATIVITY WITH QUATERNIONS

DOI10.1142/S0218271813500405zbMath1277.83117arXiv1206.5517OpenAlexW3104207333MaRDI QIDQ2866941

Balázs Mikóczi, F. Nemes

Publication date: 10 December 2013

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5517

zbMATH Keywords

regularizationKepler problemgravitational radiationpost-Newtonian approximationquaternion

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Galactic and stellar dynamics (85A05) Orbital mechanics (70M20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Quaternions and the perturbed Kepler problem
• Quaternions for regularizing celestial mechanics: The right way
• Kepler problem with time-dependent and resonant perturbations
• A novel solution to Kepler s problem
• The KS-transformation in hypercomplex form
• Gravitational Radiation from Point Masses in a Keplerian Orbit

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