[dr_lew]

I was keeping it simple.

Too simple, I would say, for a case where an object is "captured" by the earth-moon system, executes a chaotic trajectory within its sphere of influence, and is then "ejected". I don't think the moon can be considered a perturbing influence in such a case, when it is a full partner with earth in the festivities.

[Lonesome in Massachussets]

Give me a break please, the first thing to keep in mind when writing is audience. No one likes pedantry.