scholarly journals Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem

2012 ◽  
Vol 114 (1-2) ◽  
pp. 77-106 ◽  
Author(s):  
R. C. Calleja ◽  
E. J. Doedel ◽  
A. R. Humphries ◽  
A. Lemus-Rodríguez ◽  
E. B. Oldeman
Keyword(s):  
Boundary Value Problem ◽  
Body Problem ◽  
Invariant Manifolds ◽  
Boundary Value ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Connecting Orbits ◽  
Problem Formulations ◽  
Three Body

scholarly journals Connecting orbits and invariant manifolds in the spatial restricted three-body problem

Nonlinearity ◽  
2004 ◽  
Vol 17 (5) ◽  
pp. 1571-1606 ◽  
Author(s):  
G Gómez ◽  
W S Koon ◽  
M W Lo ◽  
J E Marsden ◽  
J Masdemont ◽  
...  
Keyword(s):  
Body Problem ◽  
Invariant Manifolds ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Connecting Orbits ◽  
Three Body

scholarly journals GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM

2007 ◽  
Vol 17 (04) ◽  
pp. 1151-1169 ◽  
Author(s):  
MARIAN GIDEA ◽  
JOSEP J. MASDEMONT
Keyword(s):  
Symbolic Dynamics ◽  
Body Problem ◽  
Invariant Manifolds ◽  
Libration Point ◽  
Homoclinic Orbits ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Lyapunov Orbits ◽  
Homoclinic Connections ◽  
Three Body

The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between that of L1and the other collinear libration points L2, L3is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

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