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Original Articles

A variational proof of existence of transit orbits in the restricted three-body problem

Pages 45-58 | Received 01 Mar 2003, Accepted 04 Aug 2004, Published online: 01 Oct 2010

References

  • Conley , CC . 1968 . Low energy transit orbits in the restricted three-body problem . SIAM Journal on Applied Mathematics , 16 : 732 – 746 .
  • Easton , RW . 1970 . Existence of invariant sets inside a submanifold convex to the flow . Journal of Differential Equations , 7 : 54 – 68 .
  • Conley , CC and Eston , RW . 1971 . Isolated invariant sets and isolating blocks . Transactions of the American Mathematical Society , 158 ( 1 ) : 35 – 60 .
  • Conley CC 1976 Isolated Invariant Sets and the Morse Index CBMS Regional Conference Series, 38 Providence RI American Mathematical Society
  • Bolza O 1946 Lectures on the Calculus of Variations New York Haffner
  • Ewing GM 1985 Calculus of Variations with Applications New York Dover
  • Whittaker . 1901–1902 . On periodic orbits in the restricted problem of three bodies . Monthly Notices of the Royal Astrology Society , 62 : 346 – 352 .
  • Signorini . 1912 . Esistenza di un’estremale chiusa dentro un contorno di Whittaker . Rendicontidel Circulo Matematico di Palermo , 33 : 187 – 193 .
  • Birkhoff , GD . 1917 . Dynamical systems with two degrees of freedom . Transactions of the American Mathematical Society , 18 : 199 – 300 .

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