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Arenstorf Orbit JS Model
written by
Francisco Esquembre
Arenstorf orbits are closed trajectories of the restricted three-body problem. That is, two bodies of masses µ and 1-µ moving in a circular rotation, and a third body of negligible mass moving in the same plane. The computation of these orbits is very sensible to small errors and are a good test for the accuracy of numerical methods for solving Ordinary Differential Equations.
This simulation compares the solution of two of these orbits using both a 4th-order fixed step and a 5(4) variable step Runge-Kutta algorithm. The adaptive solver uses an event to find the period of the orbit and stop there. Both the computations of the adaptive solver and the event are done with the step size and the tolerance indicated. The Arenstorf Orbit JS Model was developed using the Easy Java Simulations (Ejs) version 5. It is distributed as a ready-to-run html page and requires only a browser with JavaScript support. 
1 source code document is available
Arenstorf Orbit JS Source CodeThis source code zip archive contains an XML representation of the Arenstorf Orbit JS Model. Unzip this archive in your Ejs workspace to compile and run this model using EJS 5. Although EJS is a Java program, EJS 5 creates a stand alone JavaScript program from this source code. download 85kb .zip Last Modified: September 30, 2014 previous versions
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=12986">Esquembre, Francisco. "Arenstorf Orbit JS Model." Version 1.0.</a>
AIP Format
F. Esquembre, Computer Program ARENSTORF ORBIT JS MODEL, Version 1.0 (2013), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557).
AJP/PRST-PER
F. Esquembre, Computer Program ARENSTORF ORBIT JS MODEL, Version 1.0 (2013), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557>.
APA Format
Esquembre, F. (2013). Arenstorf Orbit JS Model (Version 1.0) [Computer software]. Retrieved April 18, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557
Chicago Format
Esquembre, Francisco. "Arenstorf Orbit JS Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557 (accessed 18 April 2025).
MLA Format
Esquembre, Francisco. Arenstorf Orbit JS Model. Vers. 1.0. Computer software. 2013. 18 Apr. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557>.
BibTeX Export Format
@misc{
Author = "Francisco Esquembre",
Title = {Arenstorf Orbit JS Model},
Month = {August},
Year = {2013}
}
Refer Export Format
%A Francisco Esquembre %T Arenstorf Orbit JS Model %D August 28, 2013 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557 %O 1.0 %O text/html
EndNote Export Format
%0 Computer Program %A Esquembre, Francisco %D August 28, 2013 %T Arenstorf Orbit JS Model %7 1.0 %8 August 28, 2013 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
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