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On final evolutions in the restricted planar parabolic three-body problem

Author
Alvarez, M.; Cors, J.; Delgado, J.
Type of activity
Presentation of work at congresses
Name of edition
CELMEC IV Meeting on Celestial Mechanics
Date of publication
2005
Presentation's date
2005-09
Book of congress proceedings
Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: theory and applications: selected papers from the Fourth Meeting on Celestial Mechanics, CELMEC IV
First page
173
Last page
200
DOI
https://doi.org/10.1007/978-1-4020-5325-2_10 Open in new window
URL
http://link.springer.com/chapter/10.1007/978-1-4020-5325-2_10 Open in new window
Abstract
In this paper, we prove the existence of special type of motions in the restricted planar parabolic three-body problem, of the type exchange, emission—capture, and emission—escape with close passages to collinear and equilateral triangle configuration, among others. The proof is based on a gradient-like property of the Jacobian function when equations of motion are written in a rotating-pulsating reference frame, and the extended phase space is compactified in the time direction. Thus a phas...
Keywords
Final evolutions, Heteroclinic orbits, Restricted three-body problem

Participants

  • Alvarez, Martha  (author and speaker )
  • Cors Iglesias, Josep Maria  (author and speaker )
  • Delgado Fernández, Joaquin  (author and speaker )