**DDA2001, April2001**

*Session 4. Posters*

Monday, 8:00pm
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## [4.02] Transport and Capture of Comets

*S.D. Ross, W.S. Koon (Control and Dynamical Systems, Caltech), M.W. Lo (Navigation and Mission Design, Jet Propulsion Laboratory), J.E. Marsden (Control and Dynamical Systems, Caltech)*

The dynamics of comets and other solar system objects which
have a three-body energy close to that of the collinear
libration points are known to exhibit a complicated array of
behaviors such as rapid transition between the interior and
exterior Hill's regions, temporary capture, and collision.
The invariant manifold structures of the collinear libration
points for the restricted three-body problem, which exist
for a range of energies, provide the framework for
understanding these transport phenomena from a geometric
point of view. In particular, the stable and unstable
invariant manifold "tubes" associated to libration point
orbits are the phase space conduits transporting material to
and from the smaller primary body (e.g., Jupiter), and
between primary bodies for separate three-body systems
(e.g., Saturn and Jupiter).

This point of view has worked well in describing the planar
circular restricted three-body problem. The current work
seeks to extend the results to three degrees of freedom.

This work was supported by the National Science Foundation
Grant No. KDI/ATM-9873133 under a contract with the Jet
Propulsion Laboratory, NASA.

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