A Closed-Form Solution To Kepler's Equation (Preprint)

A short document on which derives a closed form solution to Kepler's equation based from analytically extending Lagrange's inversion theorem, this by applying the inverse mellin transform over the mellin transform of said formula, and then manipule it until it reaches a state that can actually be used, while still being an exact answer.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-22
DOI
https://doi.org/10.5281/zenodo.14910112
Primary Topic
Advanced Mathematical Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

A Closed-Form Solution To Kepler's Equation (Preprint)

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories
article

A Closed-Form Solution To Kepler's Equation (Preprint)

article en

Abstract

A short document on which derives a closed form solution to Kepler's equation based from analytically extending Lagrange's inversion theorem, this by applying the inverse mellin transform over the mellin transform of said formula, and then manipule it until it reaches a state that can actually be used, while still being an exact answer.

Zenodo (CERN European Organization for Nuclear Research)
University Health Care System (US)
Industry, innovation and infrastructure
Openalex Percentile: Top 54%
Advanced Mathematical Theories
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A Closed-Form Solution To Kepler's Equation (Preprint) · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS