Perturbed Kepler problem in quaternionic form

DOI10.1088/0305-4470/28/21/027zbMath0876.70008OpenAlexW2016887361MaRDI QIDQ4340064

Jan Vrbik

Publication date: 16 June 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/21/027

zbMATH Keywords

commensurable orbital periodsexplanation of Kirkwood gapsquaternion-algebra equation

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

Quaternions and the perturbed Kepler problem, Regular quaternion models of perturbed orbital motion of a rigid body in the Earth's gravitational field, Quaternion methods and models of regular celestial mechanics and astrodynamics, Iterative solution to perturbed Kepler problem via Kustaanheimo-Stiefel equation, Collective branch regularization of simultaneous binary collisions in the 3D N-body problem, Quaternions for regularizing celestial mechanics: The right way, Zonal-harmonics perturbations