Orbit Elements from Kepler Solutions in Projective Coordinates
Earth and Planetary Astrophysics
2026-01-16 v3 Dynamical Systems
Classical Physics
Abstract
Closed-Form Kepler solutions in projective coordinates are used to define a corresponding set of eight orbit elements and obtain their governing equations for arbitrarily-perturbed two-body dynamics. The elements and their dynamics are singularity-free in all cases besides rectilinear motion (when angular momentum vanishes). The classic J2-perturbed two-body problem is developed and used for numerical verification.
Cite
@article{arxiv.2511.12957,
title = {Orbit Elements from Kepler Solutions in Projective Coordinates},
author = {Joseph T. A. Peterson and Manoranjan Majji and John L. Junkins},
journal= {arXiv preprint arXiv:2511.12957},
year = {2026}
}
Comments
New in most recent version: corrections to previous inconsistent and misleading notation