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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
Subjects Levels Resource Types
Classical Mechanics
- Gravity
= Orbits
- Motion in Two Dimensions
Mathematical Tools
- Differential Equations
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/zip
- application/javascript
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Access Rights:
Free access
This material is released under a Creative Commons Attribution-Noncommercial-No derivatives 3.0 license.
Rights Holder:
Francisco Esquembre
Record Cloner:
Metadata instance created August 28, 2013 by Wolfgang Christian
Record Updated:
June 15, 2015 by Lyle Barbato
Last Update
when Cataloged:
August 28, 2013
ComPADRE is beta testing Citation Styles!

Record Link
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).
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 May 19, 2024, 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 19 May 2024).
MLA Format
Esquembre, Francisco. Arenstorf Orbit JS Model. Vers. 1.0. Computer software. 2013. 19 May 2024 <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

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