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written by Eugene Butikov
Available Languages: English, Russian
This collection of EJS models shows the motions of three or more bodies attracted to one another by gravitational forces. The following applets are included in the collection:
  1. Restricted three-body problem - a satellite in the binary planet system
  2. Examples of the restricted three-body problem (in two frames of reference)
  3. Figure-eight periodic planar three-body motion
  4. Figure-eight three-body motion in two frames of reference
  5. Variations of figure-eight planar three-body motion
  6. Three-body motions in the equilateral configuration
  7. Regular planar motions of four bodies of equal masses
These Java applets allow us to observe fascinating trajectories of three-body motions that delight the eye and challenge our intuition. However, among the great variety of extremely complex motions there exist a finite subset of very simple regular motions. Some of these regular motions are also illustrated in this collection.

EJS applets on this site were created with EJS version 2.0 and are not compatible with the latest version of EJS.

Please note that this resource requires at least version 1.5 of Java Applet Plug-in.
Subjects Levels Resource Types
- Astronomy Education
Classical Mechanics
- Gravity
- Motion in Two Dimensions
= Central Forces
Modern Physics
- Chaos & Non-linear Dynamics
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Curriculum
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/java
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Record Creator:
Metadata instance created January 28, 2010 by Wolfgang Christian
Record Updated:
August 17, 2016 by Lyle Barbato
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AIP Format
E. Butikov, , WWW Document, (
E. Butikov, Collection of Remarkable Three-Body Motions, , <>.
APA Format
Butikov, E. (n.d.). Collection of Remarkable Three-Body Motions. Retrieved September 26, 2018, from
Chicago Format
Butikov, Eugene. Collection of Remarkable Three-Body Motions. (accessed 26 September 2018).
MLA Format
Butikov, Eugene. Collection of Remarkable Three-Body Motions. 26 Sep. 2018 <>.
BibTeX Export Format
@misc{ Author = "Eugene Butikov", Title = {Collection of Remarkable Three-Body Motions}, Volume = {2018}, Number = {26 September 2018}, Year = {} }
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%A Eugene Butikov
%T Collection of Remarkable Three-Body Motions
%O text/html

EndNote Export Format

%0 Electronic Source
%A Butikov, Eugene
%T Collection of Remarkable Three-Body Motions
%V 2018
%N 26 September 2018
%9 text/html

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