JDE
University of Minnesota
School of Mathematics

 

A Stable Manifold Theorem for Degenerate Fixed Points with Applications to Celestial Mechanics

Richard McGehee

Journal of Differential Equations 14 (1973), 497-513. doi: 10.1016/0022-0396(73)90077-6

 


 
 
   
     
      
     
 

Note.  Parabolic orbits in certain celestial mechanics systems can be viewed as the stable and unstable manifolds to a degenerate periodic orbit at infinity. The stable and unstable manifolds are shown to be real analytic for these systems.

 

Electronic Copies

Copies can be downloaded from the publisher's Web site:
doi: 10.1016/0022-0396(73)90077-6

 
 

Last update: May 26, 2018 ©2018 Richard McGehee