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Appropriate Starter for Solving the Kepler’s Equation

by Reza Esmaelzadeh, Hossein Ghadiri
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 89 - Number 7
Year of Publication: 2014
Authors: Reza Esmaelzadeh, Hossein Ghadiri
10.5120/15517-4394

Reza Esmaelzadeh, Hossein Ghadiri . Appropriate Starter for Solving the Kepler’s Equation. International Journal of Computer Applications. 89, 7 ( March 2014), 31-38. DOI=10.5120/15517-4394

@article{ 10.5120/15517-4394,
author = { Reza Esmaelzadeh, Hossein Ghadiri },
title = { Appropriate Starter for Solving the Kepler’s Equation },
journal = { International Journal of Computer Applications },
issue_date = { March 2014 },
volume = { 89 },
number = { 7 },
month = { March },
year = { 2014 },
issn = { 0975-8887 },
pages = { 31-38 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume89/number7/15517-4394/ },
doi = { 10.5120/15517-4394 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:08:38.982358+05:30
%A Reza Esmaelzadeh
%A Hossein Ghadiri
%T Appropriate Starter for Solving the Kepler’s Equation
%J International Journal of Computer Applications
%@ 0975-8887
%V 89
%N 7
%P 31-38
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This article, focuses on the methods that have been used for solving the Kepler's equation for thirty years, then Kepler's equation will be solved by Newton-Raphson's method. For increasing the stability of Newton's method, various guesses studied and the best of them introduced base on minimum number repetition of algorithm. At the end, after studying various guesses base on time of Implementation, one appropriate choice first guesses that increase the isotropy and decrease the time of Implementation of solving is introduced.

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Index Terms

Computer Science
Information Sciences

Keywords

Kepler's equation initial guesses iterative solution Newton -Raphson method

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