An approximate inverse of Kepler’s Equation at the parabolic limit e → 1 using a hyperbolic function structure.
Abstract
Using a hyperbolic function structure, this paper outlines an approximate inversion of Kepler's equation for the case where eccentricity = 1. The inversion function in question is treated as a parabolic limit describing the form the Kepler equation inverse for elliptical orbits takes as e approaches 1.
Fields of Study & Subjects
Spacecraft Dynamics and Control
Mathematical and Computational Methods
Mathematical functions and polynomials
Publication details
- Publication date
- 1 January 2026
- Document type
- Preprint