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The global flow of the hyperbolic restricted three-body problem

Autor
Cors, J.; Llibre, J.
Tipus d'activitat
Article en revista
Revista
Archive for rational mechanics and analysis
Data de publicació
1995-10
Volum
131
Número
4
Pàgina inicial
335
Pàgina final
358
DOI
https://doi.org/10.1007/BF00380914 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2FBF00380914 Obrir en finestra nova
Resum
Two mass points of equal masses m 1 = m 2 > 0 move under Newton's law of attraction in a non-collision hyperbolic 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 remains on the line L. The...

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