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The global flow of the parabolic restricted three-body problem

Author
Cors, J.; Llibre, J.
Type of activity
Journal article
Journal
Celestial mechanics and dynamical astronomy
Date of publication
2004-09
Volume
90
Number
1-2
First page
13
Last page
33
DOI
https://doi.org/10.1007/s10569-004-4917-0 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs10569-004-4917-0 Open in new window
Abstract
We have two mass points of equal masses m 1=m 2 > 0 moving under Newton’s law of attraction in a non-collision parabolic orbit while their center of mass is at rest. We consider a third mass point, of mass m 3=0, moving on the straight line L perpendicular to the plane of motion of the first two mass points and passing through their center of mass. Since m 3=0, the motion of m 1 and m 2 is not affected by the third and from the symmetry of the motion it is clear that m 3 will remain on the lin...
Keywords
Global flow, Restricted three-body problem, Sitnikov problem

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