A note on `Kepler's equation'
type: Item
instance of: scholarly article
title: A note on `Kepler's equation'
zbMATH Open document ID: 0879.01002
DOI: 10.1007/BF00376451
author: Jacques Dutka
published in: Archive for History of Exact Sciences
publication date: 1998-01-19T00:00:00Z
review text: The author suggests a refinement to Moulton's procedure for solving Kepler's equation by means of a finite approximation in case of moderately small eccentricities. He pays tribute to O. Neugebauer for having discovered the equivalence with Kepler's equation of a Greek chord function controlling lunar motion. He also mentions that al-Marwazi's iterative technique for solving that equation was by far superior to Kepler's one for handling his equation.
Mathematics Subject Classification ID: 01A20
Mathematics Subject Classification ID: 01A30
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 70-03
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 1057319
zbMATH Keywords: one-body problem
zbMATH Keywords: al-Marwazi
reviewed by: Heino Eelsalu
MaRDI profile type: Publication
cites work: Q5828162
cites work: Q4315258
cites work: On the early history of Bessel functions
cites work: A Medieval Iterative Algorism
cites work: Parallax Theory in Islamic Astronomy
full work available at URL: https://doi.org/10.1007/bf00376451
OpenAlex ID: W2080332104
description: scientific article; zbMATH DE number 1057319