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submission of a new problem; NDSolve artifacts; version 6.0.1

• To: mathgroup at smc.vnet.net
• Subject: [mg86986] submission of a new problem; NDSolve artifacts; version 6.0.1
• From: "Robert M. Lurie" <RMLURIE at ALUM.MIT.EDU>
• Date: Fri, 28 Mar 2008 03:15:24 -0500 (EST)
• Reply-to: RMLURIE at ALUM.MIT.EDU

I have been using NDSolve as used in
 "Restricted Three-Body Problem in 3D" from The Wolfram Demonstrations 
Project
 http://demonstrations.wolfram.com/RestrictedThreeBodyProblemIn3D/
Using Version 6.0.1,   I have modified the demonstration  to show the 
classical planar, equal large masses (mu=1/2) cases as in Gass  
"Mathematica for Scientists and Engineers: Using Mathematica to do Science"
Also see  
http://scienceworld.wolfram.com/physics/RestrictedThree-BodyProblem.html
Depending on the values, there will be lines emanating from points where 
orbits cross. For example at tf (final time) of 45.3, the figure below 
is shown.  However at tf = 46 no such artifact is seen.
How can NDSolve be modified to eliminate these artifacts?