Orbit Elements from Kepler Solutions in Projective Coordinates

Joseph T. A. Peterson; Manoranjan Majji; John L. Junkins

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arXiv · 2511.12957

Orbit Elements from Kepler Solutions in Projective Coordinates

Joseph T. A. Peterson·Manoranjan Majji·John L. Junkins

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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.

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Joseph T. A. Peterson, Manoranjan Majji, John L. Junkins. 2025-11-17. Orbit Elements from Kepler Solutions in Projective Coordinates. https://arxiv.org/abs/2511.12957

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