Sergey Bolotin 2006 Nonlinearity 19 2041 doi:10.1088/0951-7715/19/9/003
Sergey Bolotin
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We prove the existence of chaotic almost collision orbits of the plane restricted elliptic 3-body problem with small mass ratio and eccentricity shadowing chains of collision orbits of Kepler's problem. The proof is based on the dynamics of random compositions of nearly integrable symplectic maps.
70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
70F16 Collisions in celestial mechanics, regularization
Issue 9 (September 2006)
Received 27 March 2006, in final form 5 July 2006
Published 27 July 2006
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