What is the relationship between lambda and stability in astronomical systems?

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Hi everyone,
I've got this assignment for astronomy class to do:
http://img145.imageshack.us/img145/7500/projoutlinevk1.jpg

Basically I'm having a bit of trouble for the part in the image that I highlighted. I can't seem to figure out [tex]\lambda[/tex]. I know what the behavior of the system is supposed to look like for different cases of [tex]\lambda[/tex], I just can't seem to come up with it. Any help would be great!
 
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