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

A short paper that derives a closed form solution to Kepler's equation derived from 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
2025-02-27
DOI
https://doi.org/10.5281/zenodo.14969364
Primary Topic
Animal testing and alternatives
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)
Animal testing and alternatives
article

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

article en

Abstract

A short paper that derives a closed form solution to Kepler's equation derived from 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 46%
Animal testing and alternatives
DOIOpen Access PDFOpenAlex
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