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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.
Ready-to-run example (1)
View the source code document attached to this resource
Subjects Levels Resource Types
Classical Mechanics
- Gravity
= Orbits
- Motion in Two Dimensions
Mathematical Tools
- Differential Equations
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
= Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/zip
- application/javascript
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Access Rights:
Free access
License:
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:
September 30, 2014 by Wolfgang Christian
Last Update
when Cataloged:
August 28, 2013
Other Collections:

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Record Link
AIP Format
F. Esquembre, Computer Program ARENSTORF ORBIT JS MODEL, Version 1.0 (2013), WWW Document, (http://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), <http://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 October 2, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557
Chicago Format
Esquembre, Francisco. "Arenstorf Orbit JS Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557 (accessed 2 October 2014).
MLA Format
Esquembre, Francisco. Arenstorf Orbit JS Model. Vers. 1.0. Computer software. 2013. 2 Oct. 2014 <http://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 http://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 http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12986&DocID=3557


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