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written by Wolfgang Christian
The Einstein Cannon model computes and displays the trajectory of cannonballs (particles) shot from a cannon in the vicinity of a black hole.  It was created for the study of Einstein's theory of general relativity and the Schwarzschild metric.  The main window displays a map of space in the vicinity of the black hole using Schwarzschild coordinates and a cannon located a distance r0 from the center black hole's center.  The position and firing angle of the cannon can be adjusted by dragging a marker and the number of cannon balls and their initial speed can be changed using input fields.  The maximum speed of the cannon ball is the speed of light c=1 in accordance with Einstein's theory.  Newton suggested that a cannon ball fired from a high mountain could fall to Earth, orbit the Earth, or fly away depending on how it was fired.  The same is true in general relativity but there are many important differences.  This model demonstrates these differences.

The Einstein Cannon model is a supplemental simulation for the article "When action is not least for orbits in general relativity" by C. G. Gray and Eric Poisson in the American Journal of Physics 79(1), 43-55 (2011) and has been approved by the authors and the American Journal of Physics (AJP) editor.  The simulation was developed using the Easy Java Simulations (EJS) modeling tool and is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_gr_EinsteinCannon.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
Relativity
- General Relativity
= Black Holes
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Keywords:
Einstein, General Relativity, trajectory
Record Cloner:
Metadata instance created October 30, 2010 by Wolfgang Christian
Record Updated:
June 4, 2014 by Andreu Glasmann
Last Update
when Cataloged:
October 30, 2010
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, Computer Program EINSTEIN CANNON MODEL, Version 1.0 (2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914).
AJP/PRST-PER
W. Christian, Computer Program EINSTEIN CANNON MODEL, Version 1.0 (2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914>.
APA Format
Christian, W. (2010). Einstein Cannon Model (Version 1.0) [Computer software]. Retrieved September 1, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914
Chicago Format
Christian, Wolfgang. "Einstein Cannon Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914 (accessed 1 September 2014).
MLA Format
Christian, Wolfgang. Einstein Cannon Model. Vers. 1.0. Computer software. 2010. Java 1.5. 1 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Einstein Cannon Model}, Month = {October}, Year = {2010} }
Refer Export Format

%A Wolfgang Christian
%T Einstein Cannon Model
%D October 30, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D October 30, 2010
%T Einstein Cannon Model
%7 1.0
%8 October 30, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10456&DocID=1914


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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles.

The APA Style presented is based on information from APA Style.org: Electronic References.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

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Einstein Cannon Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Einstein Cannon.

relation by Wolfgang Christian

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