Tracking Unstable Elliptical Orbits for College-Educated Scientists

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    Elliptical orbit Orbit
Philosophaie
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A satellite is in an unstable elliptical orbit around the earth. Is there a way of tracking each satellite's orbit till it reaches the critical stage then follows it's reentry path?
V<Vescape
r=a*(1-e^2)/(1+e*cos(True Anomaly))

Book recommendations welcome. College educated.
 
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You may want to search the net for "satellite orbital decay".

For a short description of orbital decay (and many other things) I can fully recommend Spaceflight Dynamics by W. E. Wiesel from McGraw-Hill, http://www.mcgraw-hill.com.au/html/9780070701106.html
 
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Thanx!
 
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